TSTP Solution File: PUZ017-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ017-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HDu85cpJ7P true
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:30:38 EDT 2023
% Result : Unsatisfiable 1.54s 0.86s
% Output : Refutation 1.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ017-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HDu85cpJ7P true
% 0.18/0.35 % Computer : n019.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Sat Aug 26 22:29:59 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % Running portfolio for 300 s
% 0.18/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in FO mode
% 0.23/0.65 % Total configuration time : 435
% 0.23/0.65 % Estimated wc time : 1092
% 0.23/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.54/0.86 % Solved by fo/fo1_av.sh.
% 1.54/0.86 % done 244 iterations in 0.067s
% 1.54/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.54/0.86 % SZS output start Refutation
% 1.54/0.86 thf(n4_type, type, n4: $i).
% 1.54/0.86 thf(englishman_type, type, englishman: $i).
% 1.54/0.86 thf(russian_type, type, russian: $i).
% 1.54/0.86 thf(lemonade_type, type, lemonade: $i).
% 1.54/0.86 thf(hasgame_type, type, hasgame: $i > $i > $o).
% 1.54/0.86 thf(vodka_type, type, vodka: $i).
% 1.54/0.86 thf(n3_type, type, n3: $i).
% 1.54/0.86 thf(hascolor_type, type, hascolor: $i > $i > $o).
% 1.54/0.86 thf(white_type, type, white: $i).
% 1.54/0.86 thf(blue_type, type, blue: $i).
% 1.54/0.86 thf(charades_type, type, charades: $i).
% 1.54/0.86 thf(n5_type, type, n5: $i).
% 1.54/0.86 thf(hasperson_type, type, hasperson: $i > $i > $o).
% 1.54/0.86 thf(rat_type, type, rat: $i).
% 1.54/0.86 thf(n2_type, type, n2: $i).
% 1.54/0.86 thf(coffee_type, type, coffee: $i).
% 1.54/0.86 thf(n1_type, type, n1: $i).
% 1.54/0.86 thf(toad_type, type, toad: $i).
% 1.54/0.86 thf(solitaire_type, type, solitaire: $i).
% 1.54/0.86 thf(guppy_type, type, guppy: $i).
% 1.54/0.86 thf(camel_type, type, camel: $i).
% 1.54/0.86 thf(yellow_type, type, yellow: $i).
% 1.54/0.86 thf(haspet_type, type, haspet: $i > $i > $o).
% 1.54/0.86 thf(green_type, type, green: $i).
% 1.54/0.86 thf(unknown_drink_type, type, unknown_drink: $i).
% 1.54/0.86 thf(racquetball_type, type, racquetball: $i).
% 1.54/0.86 thf(milk_type, type, milk: $i).
% 1.54/0.86 thf(hasdrink_type, type, hasdrink: $i > $i > $o).
% 1.54/0.86 thf(backgammon_type, type, backgammon: $i).
% 1.54/0.86 thf(no_pet_type, type, no_pet: $i).
% 1.54/0.86 thf(swede_type, type, swede: $i).
% 1.54/0.86 thf(quoits_type, type, quoits: $i).
% 1.54/0.86 thf(italian_type, type, italian: $i).
% 1.54/0.86 thf(red_type, type, red: $i).
% 1.54/0.86 thf(american_type, type, american: $i).
% 1.54/0.86 thf(find_out_house_details, conjecture,
% 1.54/0.86 (~( ( ~( haspet @ n5 @ X23 ) ) | ( ~( haspet @ n4 @ X22 ) ) |
% 1.54/0.86 ( ~( haspet @ n3 @ X21 ) ) | ( ~( haspet @ n2 @ X20 ) ) |
% 1.54/0.86 ( ~( haspet @ n1 @ X19 ) ) | ( ~( hasgame @ n5 @ X18 ) ) |
% 1.54/0.86 ( ~( hasgame @ n4 @ X17 ) ) | ( ~( hasgame @ n3 @ X16 ) ) |
% 1.54/0.86 ( ~( hasgame @ n2 @ X15 ) ) | ( ~( hasgame @ n1 @ X14 ) ) |
% 1.54/0.86 ( ~( hasdrink @ n5 @ X13 ) ) | ( ~( hasdrink @ n4 @ X12 ) ) |
% 1.54/0.86 ( ~( hasdrink @ n3 @ X11a ) ) | ( ~( hasdrink @ n2 @ X11 ) ) |
% 1.54/0.86 ( ~( hasdrink @ n1 @ X10 ) ) | ( ~( hascolor @ n5 @ X9 ) ) |
% 1.54/0.86 ( ~( hascolor @ n4 @ X8 ) ) | ( ~( hascolor @ n3 @ X7 ) ) |
% 1.54/0.86 ( ~( hascolor @ n2 @ X6 ) ) | ( ~( hascolor @ n1 @ X5 ) ) |
% 1.54/0.86 ( ~( hasperson @ n5 @ X4 ) ) | ( ~( hasperson @ n4 @ X3 ) ) |
% 1.54/0.86 ( ~( hasperson @ n3 @ X2 ) ) | ( ~( hasperson @ n2 @ X1 ) ) |
% 1.54/0.86 ( ~( hasperson @ n1 @ X0 ) ) ))).
% 1.54/0.86 thf(zf_stmt_0, negated_conjecture,
% 1.54/0.86 (( ~( haspet @ n5 @ X23 ) ) | ( ~( haspet @ n4 @ X22 ) ) |
% 1.54/0.86 ( ~( haspet @ n3 @ X21 ) ) | ( ~( haspet @ n2 @ X20 ) ) |
% 1.54/0.86 ( ~( haspet @ n1 @ X19 ) ) | ( ~( hasgame @ n5 @ X18 ) ) |
% 1.54/0.86 ( ~( hasgame @ n4 @ X17 ) ) | ( ~( hasgame @ n3 @ X16 ) ) |
% 1.54/0.86 ( ~( hasgame @ n2 @ X15 ) ) | ( ~( hasgame @ n1 @ X14 ) ) |
% 1.54/0.86 ( ~( hasdrink @ n5 @ X13 ) ) | ( ~( hasdrink @ n4 @ X12 ) ) |
% 1.54/0.86 ( ~( hasdrink @ n3 @ X11a ) ) | ( ~( hasdrink @ n2 @ X11 ) ) |
% 1.54/0.86 ( ~( hasdrink @ n1 @ X10 ) ) | ( ~( hascolor @ n5 @ X9 ) ) |
% 1.54/0.86 ( ~( hascolor @ n4 @ X8 ) ) | ( ~( hascolor @ n3 @ X7 ) ) |
% 1.54/0.86 ( ~( hascolor @ n2 @ X6 ) ) | ( ~( hascolor @ n1 @ X5 ) ) |
% 1.54/0.86 ( ~( hasperson @ n5 @ X4 ) ) | ( ~( hasperson @ n4 @ X3 ) ) |
% 1.54/0.86 ( ~( hasperson @ n3 @ X2 ) ) | ( ~( hasperson @ n2 @ X1 ) ) |
% 1.54/0.86 ( ~( hasperson @ n1 @ X0 ) )),
% 1.54/0.86 inference('cnf.neg', [status(esa)], [find_out_house_details])).
% 1.54/0.86 thf(zip_derived_cl147, plain,
% 1.54/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.54/0.86 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.54/0.86 X14 : $i, X15 : $i, X16 : $i, X17 : $i, X18 : $i, X19 : $i, X20 : $i,
% 1.54/0.86 X21 : $i, X22 : $i, X23 : $i, X24 : $i]:
% 1.54/0.86 (~ (haspet @ n5 @ X0)
% 1.54/0.86 | ~ (haspet @ n4 @ X1)
% 1.54/0.86 | ~ (haspet @ n3 @ X2)
% 1.54/0.86 | ~ (haspet @ n2 @ X3)
% 1.54/0.86 | ~ (haspet @ n1 @ X4)
% 1.54/0.86 | ~ (hasgame @ n5 @ X5)
% 1.54/0.86 | ~ (hasgame @ n4 @ X6)
% 1.54/0.86 | ~ (hasgame @ n3 @ X7)
% 1.54/0.86 | ~ (hasgame @ n2 @ X8)
% 1.54/0.86 | ~ (hasgame @ n1 @ X9)
% 1.54/0.86 | ~ (hasdrink @ n5 @ X10)
% 1.54/0.86 | ~ (hasdrink @ n4 @ X11)
% 1.54/0.86 | ~ (hasdrink @ n3 @ X12)
% 1.54/0.86 | ~ (hasdrink @ n2 @ X13)
% 1.54/0.86 | ~ (hasdrink @ n1 @ X14)
% 1.54/0.86 | ~ (hascolor @ n5 @ X15)
% 1.54/0.86 | ~ (hascolor @ n4 @ X16)
% 1.54/0.86 | ~ (hascolor @ n3 @ X17)
% 1.54/0.86 | ~ (hascolor @ n2 @ X18)
% 1.54/0.86 | ~ (hascolor @ n1 @ X19)
% 1.54/0.86 | ~ (hasperson @ n5 @ X20)
% 1.54/0.86 | ~ (hasperson @ n4 @ X21)
% 1.54/0.86 | ~ (hasperson @ n3 @ X22)
% 1.54/0.86 | ~ (hasperson @ n2 @ X23)
% 1.54/0.86 | ~ (hasperson @ n1 @ X24))),
% 1.54/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.54/0.86 thf(zip_derived_cl171, plain,
% 1.54/0.86 ((![X0 : $i]: ~ (haspet @ n5 @ X0))
% 1.54/0.86 <= ((![X0 : $i]: ~ (haspet @ n5 @ X0)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl172, plain,
% 1.54/0.86 ((![X16 : $i]: ~ (hascolor @ n4 @ X16))
% 1.54/0.86 <= ((![X16 : $i]: ~ (hascolor @ n4 @ X16)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(every_house_has_color, axiom,
% 1.54/0.86 (( hascolor @ X @ red ) | ( hascolor @ X @ white ) |
% 1.54/0.86 ( hascolor @ X @ green ) | ( hascolor @ X @ yellow ) |
% 1.54/0.86 ( hascolor @ X @ blue ))).
% 1.54/0.86 thf(zip_derived_cl75, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hascolor @ X0 @ red)
% 1.54/0.86 | (hascolor @ X0 @ white)
% 1.54/0.86 | (hascolor @ X0 @ green)
% 1.54/0.86 | (hascolor @ X0 @ yellow)
% 1.54/0.86 | (hascolor @ X0 @ blue))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_color])).
% 1.54/0.86 thf(zip_derived_cl255, plain,
% 1.54/0.86 ((( (hascolor @ n4 @ red)
% 1.54/0.86 | (hascolor @ n4 @ white)
% 1.54/0.86 | (hascolor @ n4 @ green)
% 1.54/0.86 | (hascolor @ n4 @ yellow)))
% 1.54/0.86 <= ((![X16 : $i]: ~ (hascolor @ n4 @ X16)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl75])).
% 1.54/0.86 thf(zip_derived_cl172, plain,
% 1.54/0.86 ((![X16 : $i]: ~ (hascolor @ n4 @ X16))
% 1.54/0.86 <= ((![X16 : $i]: ~ (hascolor @ n4 @ X16)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl172, plain,
% 1.54/0.86 ((![X16 : $i]: ~ (hascolor @ n4 @ X16))
% 1.54/0.86 <= ((![X16 : $i]: ~ (hascolor @ n4 @ X16)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl172, plain,
% 1.54/0.86 ((![X16 : $i]: ~ (hascolor @ n4 @ X16))
% 1.54/0.86 <= ((![X16 : $i]: ~ (hascolor @ n4 @ X16)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl260, plain,
% 1.54/0.86 (( (hascolor @ n4 @ yellow)) <= ((![X16 : $i]: ~ (hascolor @ n4 @ X16)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl255, zip_derived_cl172, zip_derived_cl172,
% 1.54/0.86 zip_derived_cl172])).
% 1.54/0.86 thf(zip_derived_cl172, plain,
% 1.54/0.86 ((![X16 : $i]: ~ (hascolor @ n4 @ X16))
% 1.54/0.86 <= ((![X16 : $i]: ~ (hascolor @ n4 @ X16)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('0', plain, (~ (![X16 : $i]: ~ (hascolor @ n4 @ X16))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl260, zip_derived_cl172])).
% 1.54/0.86 thf(zip_derived_cl167, plain,
% 1.54/0.86 ((![X2 : $i]: ~ (haspet @ n3 @ X2))
% 1.54/0.86 <= ((![X2 : $i]: ~ (haspet @ n3 @ X2)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(every_house_has_a_pet, axiom,
% 1.54/0.86 (( haspet @ X @ guppy ) | ( haspet @ X @ toad ) | ( haspet @ X @ camel ) |
% 1.54/0.86 ( haspet @ X @ rat ) | ( haspet @ X @ no_pet ))).
% 1.54/0.86 thf(zip_derived_cl81, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (haspet @ X0 @ guppy)
% 1.54/0.86 | (haspet @ X0 @ toad)
% 1.54/0.86 | (haspet @ X0 @ camel)
% 1.54/0.86 | (haspet @ X0 @ rat)
% 1.54/0.86 | (haspet @ X0 @ no_pet))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_pet])).
% 1.54/0.86 thf(zip_derived_cl362, plain,
% 1.54/0.86 ((( (haspet @ n3 @ guppy)
% 1.54/0.86 | (haspet @ n3 @ toad)
% 1.54/0.86 | (haspet @ n3 @ camel)
% 1.54/0.86 | (haspet @ n3 @ rat))) <= ((![X2 : $i]: ~ (haspet @ n3 @ X2)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl167, zip_derived_cl81])).
% 1.54/0.86 thf(zip_derived_cl167, plain,
% 1.54/0.86 ((![X2 : $i]: ~ (haspet @ n3 @ X2))
% 1.54/0.86 <= ((![X2 : $i]: ~ (haspet @ n3 @ X2)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl167, plain,
% 1.54/0.86 ((![X2 : $i]: ~ (haspet @ n3 @ X2))
% 1.54/0.86 <= ((![X2 : $i]: ~ (haspet @ n3 @ X2)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl167, plain,
% 1.54/0.86 ((![X2 : $i]: ~ (haspet @ n3 @ X2))
% 1.54/0.86 <= ((![X2 : $i]: ~ (haspet @ n3 @ X2)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl367, plain,
% 1.54/0.86 (( (haspet @ n3 @ rat)) <= ((![X2 : $i]: ~ (haspet @ n3 @ X2)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl362, zip_derived_cl167, zip_derived_cl167,
% 1.54/0.86 zip_derived_cl167])).
% 1.54/0.86 thf(zip_derived_cl167, plain,
% 1.54/0.86 ((![X2 : $i]: ~ (haspet @ n3 @ X2))
% 1.54/0.86 <= ((![X2 : $i]: ~ (haspet @ n3 @ X2)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('1', plain, (~ (![X2 : $i]: ~ (haspet @ n3 @ X2))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl367, zip_derived_cl167])).
% 1.54/0.86 thf(zip_derived_cl170, plain,
% 1.54/0.86 ((![X17 : $i]: ~ (hascolor @ n3 @ X17))
% 1.54/0.86 <= ((![X17 : $i]: ~ (hascolor @ n3 @ X17)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl75, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hascolor @ X0 @ red)
% 1.54/0.86 | (hascolor @ X0 @ white)
% 1.54/0.86 | (hascolor @ X0 @ green)
% 1.54/0.86 | (hascolor @ X0 @ yellow)
% 1.54/0.86 | (hascolor @ X0 @ blue))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_color])).
% 1.54/0.86 thf(zip_derived_cl254, plain,
% 1.54/0.86 ((( (hascolor @ n3 @ red)
% 1.54/0.86 | (hascolor @ n3 @ white)
% 1.54/0.86 | (hascolor @ n3 @ green)
% 1.54/0.86 | (hascolor @ n3 @ yellow)))
% 1.54/0.86 <= ((![X17 : $i]: ~ (hascolor @ n3 @ X17)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl75])).
% 1.54/0.86 thf(zip_derived_cl170, plain,
% 1.54/0.86 ((![X17 : $i]: ~ (hascolor @ n3 @ X17))
% 1.54/0.86 <= ((![X17 : $i]: ~ (hascolor @ n3 @ X17)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl170, plain,
% 1.54/0.86 ((![X17 : $i]: ~ (hascolor @ n3 @ X17))
% 1.54/0.86 <= ((![X17 : $i]: ~ (hascolor @ n3 @ X17)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl170, plain,
% 1.54/0.86 ((![X17 : $i]: ~ (hascolor @ n3 @ X17))
% 1.54/0.86 <= ((![X17 : $i]: ~ (hascolor @ n3 @ X17)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl259, plain,
% 1.54/0.86 (( (hascolor @ n3 @ yellow)) <= ((![X17 : $i]: ~ (hascolor @ n3 @ X17)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl254, zip_derived_cl170, zip_derived_cl170,
% 1.54/0.86 zip_derived_cl170])).
% 1.54/0.86 thf(zip_derived_cl170, plain,
% 1.54/0.86 ((![X17 : $i]: ~ (hascolor @ n3 @ X17))
% 1.54/0.86 <= ((![X17 : $i]: ~ (hascolor @ n3 @ X17)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('2', plain, (~ (![X17 : $i]: ~ (hascolor @ n3 @ X17))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl259, zip_derived_cl170])).
% 1.54/0.86 thf(zip_derived_cl165, plain,
% 1.54/0.86 ((![X3 : $i]: ~ (haspet @ n2 @ X3))
% 1.54/0.86 <= ((![X3 : $i]: ~ (haspet @ n2 @ X3)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl81, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (haspet @ X0 @ guppy)
% 1.54/0.86 | (haspet @ X0 @ toad)
% 1.54/0.86 | (haspet @ X0 @ camel)
% 1.54/0.86 | (haspet @ X0 @ rat)
% 1.54/0.86 | (haspet @ X0 @ no_pet))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_pet])).
% 1.54/0.86 thf(zip_derived_cl361, plain,
% 1.54/0.86 ((( (haspet @ n2 @ guppy)
% 1.54/0.86 | (haspet @ n2 @ toad)
% 1.54/0.86 | (haspet @ n2 @ camel)
% 1.54/0.86 | (haspet @ n2 @ rat))) <= ((![X3 : $i]: ~ (haspet @ n2 @ X3)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl165, zip_derived_cl81])).
% 1.54/0.86 thf(zip_derived_cl165, plain,
% 1.54/0.86 ((![X3 : $i]: ~ (haspet @ n2 @ X3))
% 1.54/0.86 <= ((![X3 : $i]: ~ (haspet @ n2 @ X3)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl165, plain,
% 1.54/0.86 ((![X3 : $i]: ~ (haspet @ n2 @ X3))
% 1.54/0.86 <= ((![X3 : $i]: ~ (haspet @ n2 @ X3)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl165, plain,
% 1.54/0.86 ((![X3 : $i]: ~ (haspet @ n2 @ X3))
% 1.54/0.86 <= ((![X3 : $i]: ~ (haspet @ n2 @ X3)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl366, plain,
% 1.54/0.86 (( (haspet @ n2 @ rat)) <= ((![X3 : $i]: ~ (haspet @ n2 @ X3)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl361, zip_derived_cl165, zip_derived_cl165,
% 1.54/0.86 zip_derived_cl165])).
% 1.54/0.86 thf(zip_derived_cl165, plain,
% 1.54/0.86 ((![X3 : $i]: ~ (haspet @ n2 @ X3))
% 1.54/0.86 <= ((![X3 : $i]: ~ (haspet @ n2 @ X3)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('3', plain, (~ (![X3 : $i]: ~ (haspet @ n2 @ X3))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl366, zip_derived_cl165])).
% 1.54/0.86 thf(zip_derived_cl168, plain,
% 1.54/0.86 ((![X18 : $i]: ~ (hascolor @ n2 @ X18))
% 1.54/0.86 <= ((![X18 : $i]: ~ (hascolor @ n2 @ X18)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl75, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hascolor @ X0 @ red)
% 1.54/0.86 | (hascolor @ X0 @ white)
% 1.54/0.86 | (hascolor @ X0 @ green)
% 1.54/0.86 | (hascolor @ X0 @ yellow)
% 1.54/0.86 | (hascolor @ X0 @ blue))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_color])).
% 1.54/0.86 thf(zip_derived_cl253, plain,
% 1.54/0.86 ((( (hascolor @ n2 @ red)
% 1.54/0.86 | (hascolor @ n2 @ white)
% 1.54/0.86 | (hascolor @ n2 @ green)
% 1.54/0.86 | (hascolor @ n2 @ yellow)))
% 1.54/0.86 <= ((![X18 : $i]: ~ (hascolor @ n2 @ X18)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl75])).
% 1.54/0.86 thf(zip_derived_cl168, plain,
% 1.54/0.86 ((![X18 : $i]: ~ (hascolor @ n2 @ X18))
% 1.54/0.86 <= ((![X18 : $i]: ~ (hascolor @ n2 @ X18)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl168, plain,
% 1.54/0.86 ((![X18 : $i]: ~ (hascolor @ n2 @ X18))
% 1.54/0.86 <= ((![X18 : $i]: ~ (hascolor @ n2 @ X18)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl168, plain,
% 1.54/0.86 ((![X18 : $i]: ~ (hascolor @ n2 @ X18))
% 1.54/0.86 <= ((![X18 : $i]: ~ (hascolor @ n2 @ X18)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl258, plain,
% 1.54/0.86 (( (hascolor @ n2 @ yellow)) <= ((![X18 : $i]: ~ (hascolor @ n2 @ X18)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl253, zip_derived_cl168, zip_derived_cl168,
% 1.54/0.86 zip_derived_cl168])).
% 1.54/0.86 thf(zip_derived_cl168, plain,
% 1.54/0.86 ((![X18 : $i]: ~ (hascolor @ n2 @ X18))
% 1.54/0.86 <= ((![X18 : $i]: ~ (hascolor @ n2 @ X18)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('4', plain, (~ (![X18 : $i]: ~ (hascolor @ n2 @ X18))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl168])).
% 1.54/0.86 thf(zip_derived_cl163, plain,
% 1.54/0.86 ((![X4 : $i]: ~ (haspet @ n1 @ X4))
% 1.54/0.86 <= ((![X4 : $i]: ~ (haspet @ n1 @ X4)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl81, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (haspet @ X0 @ guppy)
% 1.54/0.86 | (haspet @ X0 @ toad)
% 1.54/0.86 | (haspet @ X0 @ camel)
% 1.54/0.86 | (haspet @ X0 @ rat)
% 1.54/0.86 | (haspet @ X0 @ no_pet))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_pet])).
% 1.54/0.86 thf(zip_derived_cl360, plain,
% 1.54/0.86 ((( (haspet @ n1 @ guppy)
% 1.54/0.86 | (haspet @ n1 @ toad)
% 1.54/0.86 | (haspet @ n1 @ camel)
% 1.54/0.86 | (haspet @ n1 @ rat))) <= ((![X4 : $i]: ~ (haspet @ n1 @ X4)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl81])).
% 1.54/0.86 thf(zip_derived_cl163, plain,
% 1.54/0.86 ((![X4 : $i]: ~ (haspet @ n1 @ X4))
% 1.54/0.86 <= ((![X4 : $i]: ~ (haspet @ n1 @ X4)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl163, plain,
% 1.54/0.86 ((![X4 : $i]: ~ (haspet @ n1 @ X4))
% 1.54/0.86 <= ((![X4 : $i]: ~ (haspet @ n1 @ X4)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl163, plain,
% 1.54/0.86 ((![X4 : $i]: ~ (haspet @ n1 @ X4))
% 1.54/0.86 <= ((![X4 : $i]: ~ (haspet @ n1 @ X4)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl365, plain,
% 1.54/0.86 (( (haspet @ n1 @ rat)) <= ((![X4 : $i]: ~ (haspet @ n1 @ X4)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl360, zip_derived_cl163, zip_derived_cl163,
% 1.54/0.86 zip_derived_cl163])).
% 1.54/0.86 thf(zip_derived_cl163, plain,
% 1.54/0.86 ((![X4 : $i]: ~ (haspet @ n1 @ X4))
% 1.54/0.86 <= ((![X4 : $i]: ~ (haspet @ n1 @ X4)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('5', plain, (~ (![X4 : $i]: ~ (haspet @ n1 @ X4))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl365, zip_derived_cl163])).
% 1.54/0.86 thf(zip_derived_cl166, plain,
% 1.54/0.86 ((![X19 : $i]: ~ (hascolor @ n1 @ X19))
% 1.54/0.86 <= ((![X19 : $i]: ~ (hascolor @ n1 @ X19)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl75, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hascolor @ X0 @ red)
% 1.54/0.86 | (hascolor @ X0 @ white)
% 1.54/0.86 | (hascolor @ X0 @ green)
% 1.54/0.86 | (hascolor @ X0 @ yellow)
% 1.54/0.86 | (hascolor @ X0 @ blue))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_color])).
% 1.54/0.86 thf(zip_derived_cl252, plain,
% 1.54/0.86 ((( (hascolor @ n1 @ red)
% 1.54/0.86 | (hascolor @ n1 @ white)
% 1.54/0.86 | (hascolor @ n1 @ green)
% 1.54/0.86 | (hascolor @ n1 @ yellow)))
% 1.54/0.86 <= ((![X19 : $i]: ~ (hascolor @ n1 @ X19)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl75])).
% 1.54/0.86 thf(zip_derived_cl166, plain,
% 1.54/0.86 ((![X19 : $i]: ~ (hascolor @ n1 @ X19))
% 1.54/0.86 <= ((![X19 : $i]: ~ (hascolor @ n1 @ X19)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl166, plain,
% 1.54/0.86 ((![X19 : $i]: ~ (hascolor @ n1 @ X19))
% 1.54/0.86 <= ((![X19 : $i]: ~ (hascolor @ n1 @ X19)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl166, plain,
% 1.54/0.86 ((![X19 : $i]: ~ (hascolor @ n1 @ X19))
% 1.54/0.86 <= ((![X19 : $i]: ~ (hascolor @ n1 @ X19)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl257, plain,
% 1.54/0.86 (( (hascolor @ n1 @ yellow)) <= ((![X19 : $i]: ~ (hascolor @ n1 @ X19)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl252, zip_derived_cl166, zip_derived_cl166,
% 1.54/0.86 zip_derived_cl166])).
% 1.54/0.86 thf(zip_derived_cl166, plain,
% 1.54/0.86 ((![X19 : $i]: ~ (hascolor @ n1 @ X19))
% 1.54/0.86 <= ((![X19 : $i]: ~ (hascolor @ n1 @ X19)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('6', plain, (~ (![X19 : $i]: ~ (hascolor @ n1 @ X19))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl257, zip_derived_cl166])).
% 1.54/0.86 thf(zip_derived_cl161, plain,
% 1.54/0.86 ((![X5 : $i]: ~ (hasgame @ n5 @ X5))
% 1.54/0.86 <= ((![X5 : $i]: ~ (hasgame @ n5 @ X5)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(every_house_has_a_game, axiom,
% 1.54/0.86 (( hasgame @ X @ backgammon ) | ( hasgame @ X @ racquetball ) |
% 1.54/0.86 ( hasgame @ X @ quoits ) | ( hasgame @ X @ solitaire ) |
% 1.54/0.86 ( hasgame @ X @ charades ))).
% 1.54/0.86 thf(zip_derived_cl79, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hasgame @ X0 @ backgammon)
% 1.54/0.86 | (hasgame @ X0 @ racquetball)
% 1.54/0.86 | (hasgame @ X0 @ quoits)
% 1.54/0.86 | (hasgame @ X0 @ solitaire)
% 1.54/0.86 | (hasgame @ X0 @ charades))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_game])).
% 1.54/0.86 thf(zip_derived_cl335, plain,
% 1.54/0.86 ((( (hasgame @ n5 @ backgammon)
% 1.54/0.86 | (hasgame @ n5 @ racquetball)
% 1.54/0.86 | (hasgame @ n5 @ quoits)
% 1.54/0.86 | (hasgame @ n5 @ solitaire)))
% 1.54/0.86 <= ((![X5 : $i]: ~ (hasgame @ n5 @ X5)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl161, zip_derived_cl79])).
% 1.54/0.86 thf(zip_derived_cl161, plain,
% 1.54/0.86 ((![X5 : $i]: ~ (hasgame @ n5 @ X5))
% 1.54/0.86 <= ((![X5 : $i]: ~ (hasgame @ n5 @ X5)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl161, plain,
% 1.54/0.86 ((![X5 : $i]: ~ (hasgame @ n5 @ X5))
% 1.54/0.86 <= ((![X5 : $i]: ~ (hasgame @ n5 @ X5)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl161, plain,
% 1.54/0.86 ((![X5 : $i]: ~ (hasgame @ n5 @ X5))
% 1.54/0.86 <= ((![X5 : $i]: ~ (hasgame @ n5 @ X5)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl340, plain,
% 1.54/0.86 (( (hasgame @ n5 @ solitaire)) <= ((![X5 : $i]: ~ (hasgame @ n5 @ X5)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl335, zip_derived_cl161, zip_derived_cl161,
% 1.54/0.86 zip_derived_cl161])).
% 1.54/0.86 thf(zip_derived_cl161, plain,
% 1.54/0.86 ((![X5 : $i]: ~ (hasgame @ n5 @ X5))
% 1.54/0.86 <= ((![X5 : $i]: ~ (hasgame @ n5 @ X5)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('7', plain, (~ (![X5 : $i]: ~ (hasgame @ n5 @ X5))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl340, zip_derived_cl161])).
% 1.54/0.86 thf(zip_derived_cl164, plain,
% 1.54/0.86 ((![X20 : $i]: ~ (hasperson @ n5 @ X20))
% 1.54/0.86 <= ((![X20 : $i]: ~ (hasperson @ n5 @ X20)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(every_house_has_a_national, axiom,
% 1.54/0.86 (( hasperson @ X @ englishman ) | ( hasperson @ X @ italian ) |
% 1.54/0.86 ( hasperson @ X @ swede ) | ( hasperson @ X @ russian ) |
% 1.54/0.86 ( hasperson @ X @ american ))).
% 1.54/0.86 thf(zip_derived_cl73, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hasperson @ X0 @ englishman)
% 1.54/0.86 | (hasperson @ X0 @ italian)
% 1.54/0.86 | (hasperson @ X0 @ swede)
% 1.54/0.86 | (hasperson @ X0 @ russian)
% 1.54/0.86 | (hasperson @ X0 @ american))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_national])).
% 1.54/0.86 thf(zip_derived_cl220, plain,
% 1.54/0.86 ((( (hasperson @ n5 @ englishman)
% 1.54/0.86 | (hasperson @ n5 @ italian)
% 1.54/0.86 | (hasperson @ n5 @ swede)
% 1.54/0.86 | (hasperson @ n5 @ russian)))
% 1.54/0.86 <= ((![X20 : $i]: ~ (hasperson @ n5 @ X20)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl73])).
% 1.54/0.86 thf(zip_derived_cl164, plain,
% 1.54/0.86 ((![X20 : $i]: ~ (hasperson @ n5 @ X20))
% 1.54/0.86 <= ((![X20 : $i]: ~ (hasperson @ n5 @ X20)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl164, plain,
% 1.54/0.86 ((![X20 : $i]: ~ (hasperson @ n5 @ X20))
% 1.54/0.86 <= ((![X20 : $i]: ~ (hasperson @ n5 @ X20)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl164, plain,
% 1.54/0.86 ((![X20 : $i]: ~ (hasperson @ n5 @ X20))
% 1.54/0.86 <= ((![X20 : $i]: ~ (hasperson @ n5 @ X20)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl224, plain,
% 1.54/0.86 (( (hasperson @ n5 @ russian))
% 1.54/0.86 <= ((![X20 : $i]: ~ (hasperson @ n5 @ X20)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl220, zip_derived_cl164, zip_derived_cl164,
% 1.54/0.86 zip_derived_cl164])).
% 1.54/0.86 thf(zip_derived_cl164, plain,
% 1.54/0.86 ((![X20 : $i]: ~ (hasperson @ n5 @ X20))
% 1.54/0.86 <= ((![X20 : $i]: ~ (hasperson @ n5 @ X20)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('8', plain, (~ (![X20 : $i]: ~ (hasperson @ n5 @ X20))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl224, zip_derived_cl164])).
% 1.54/0.86 thf(zip_derived_cl159, plain,
% 1.54/0.86 ((![X6 : $i]: ~ (hasgame @ n4 @ X6))
% 1.54/0.86 <= ((![X6 : $i]: ~ (hasgame @ n4 @ X6)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl79, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hasgame @ X0 @ backgammon)
% 1.54/0.86 | (hasgame @ X0 @ racquetball)
% 1.54/0.86 | (hasgame @ X0 @ quoits)
% 1.54/0.86 | (hasgame @ X0 @ solitaire)
% 1.54/0.86 | (hasgame @ X0 @ charades))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_game])).
% 1.54/0.86 thf(zip_derived_cl334, plain,
% 1.54/0.86 ((( (hasgame @ n4 @ backgammon)
% 1.54/0.86 | (hasgame @ n4 @ racquetball)
% 1.54/0.86 | (hasgame @ n4 @ quoits)
% 1.54/0.86 | (hasgame @ n4 @ solitaire)))
% 1.54/0.86 <= ((![X6 : $i]: ~ (hasgame @ n4 @ X6)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl159, zip_derived_cl79])).
% 1.54/0.86 thf(zip_derived_cl159, plain,
% 1.54/0.86 ((![X6 : $i]: ~ (hasgame @ n4 @ X6))
% 1.54/0.86 <= ((![X6 : $i]: ~ (hasgame @ n4 @ X6)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl159, plain,
% 1.54/0.86 ((![X6 : $i]: ~ (hasgame @ n4 @ X6))
% 1.54/0.86 <= ((![X6 : $i]: ~ (hasgame @ n4 @ X6)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl159, plain,
% 1.54/0.86 ((![X6 : $i]: ~ (hasgame @ n4 @ X6))
% 1.54/0.86 <= ((![X6 : $i]: ~ (hasgame @ n4 @ X6)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl339, plain,
% 1.54/0.86 (( (hasgame @ n4 @ solitaire)) <= ((![X6 : $i]: ~ (hasgame @ n4 @ X6)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl334, zip_derived_cl159, zip_derived_cl159,
% 1.54/0.86 zip_derived_cl159])).
% 1.54/0.86 thf(zip_derived_cl159, plain,
% 1.54/0.86 ((![X6 : $i]: ~ (hasgame @ n4 @ X6))
% 1.54/0.86 <= ((![X6 : $i]: ~ (hasgame @ n4 @ X6)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('9', plain, (~ (![X6 : $i]: ~ (hasgame @ n4 @ X6))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl339, zip_derived_cl159])).
% 1.54/0.86 thf(zip_derived_cl162, plain,
% 1.54/0.86 ((![X21 : $i]: ~ (hasperson @ n4 @ X21))
% 1.54/0.86 <= ((![X21 : $i]: ~ (hasperson @ n4 @ X21)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl73, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hasperson @ X0 @ englishman)
% 1.54/0.86 | (hasperson @ X0 @ italian)
% 1.54/0.86 | (hasperson @ X0 @ swede)
% 1.54/0.86 | (hasperson @ X0 @ russian)
% 1.54/0.86 | (hasperson @ X0 @ american))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_national])).
% 1.54/0.86 thf(zip_derived_cl219, plain,
% 1.54/0.86 ((( (hasperson @ n4 @ englishman)
% 1.54/0.86 | (hasperson @ n4 @ italian)
% 1.54/0.86 | (hasperson @ n4 @ swede)
% 1.54/0.86 | (hasperson @ n4 @ russian)))
% 1.54/0.86 <= ((![X21 : $i]: ~ (hasperson @ n4 @ X21)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl73])).
% 1.54/0.86 thf(zip_derived_cl162, plain,
% 1.54/0.86 ((![X21 : $i]: ~ (hasperson @ n4 @ X21))
% 1.54/0.86 <= ((![X21 : $i]: ~ (hasperson @ n4 @ X21)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl162, plain,
% 1.54/0.86 ((![X21 : $i]: ~ (hasperson @ n4 @ X21))
% 1.54/0.86 <= ((![X21 : $i]: ~ (hasperson @ n4 @ X21)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl162, plain,
% 1.54/0.86 ((![X21 : $i]: ~ (hasperson @ n4 @ X21))
% 1.54/0.86 <= ((![X21 : $i]: ~ (hasperson @ n4 @ X21)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl223, plain,
% 1.54/0.86 (( (hasperson @ n4 @ russian))
% 1.54/0.86 <= ((![X21 : $i]: ~ (hasperson @ n4 @ X21)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl219, zip_derived_cl162, zip_derived_cl162,
% 1.54/0.86 zip_derived_cl162])).
% 1.54/0.86 thf(zip_derived_cl162, plain,
% 1.54/0.86 ((![X21 : $i]: ~ (hasperson @ n4 @ X21))
% 1.54/0.86 <= ((![X21 : $i]: ~ (hasperson @ n4 @ X21)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('10', plain, (~ (![X21 : $i]: ~ (hasperson @ n4 @ X21))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl162])).
% 1.54/0.86 thf(zip_derived_cl157, plain,
% 1.54/0.86 ((![X7 : $i]: ~ (hasgame @ n3 @ X7))
% 1.54/0.86 <= ((![X7 : $i]: ~ (hasgame @ n3 @ X7)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl79, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hasgame @ X0 @ backgammon)
% 1.54/0.86 | (hasgame @ X0 @ racquetball)
% 1.54/0.86 | (hasgame @ X0 @ quoits)
% 1.54/0.86 | (hasgame @ X0 @ solitaire)
% 1.54/0.86 | (hasgame @ X0 @ charades))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_game])).
% 1.54/0.86 thf(zip_derived_cl333, plain,
% 1.54/0.86 ((( (hasgame @ n3 @ backgammon)
% 1.54/0.86 | (hasgame @ n3 @ racquetball)
% 1.54/0.86 | (hasgame @ n3 @ quoits)
% 1.54/0.86 | (hasgame @ n3 @ solitaire)))
% 1.54/0.86 <= ((![X7 : $i]: ~ (hasgame @ n3 @ X7)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl157, zip_derived_cl79])).
% 1.54/0.86 thf(zip_derived_cl157, plain,
% 1.54/0.86 ((![X7 : $i]: ~ (hasgame @ n3 @ X7))
% 1.54/0.86 <= ((![X7 : $i]: ~ (hasgame @ n3 @ X7)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl157, plain,
% 1.54/0.86 ((![X7 : $i]: ~ (hasgame @ n3 @ X7))
% 1.54/0.86 <= ((![X7 : $i]: ~ (hasgame @ n3 @ X7)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl157, plain,
% 1.54/0.86 ((![X7 : $i]: ~ (hasgame @ n3 @ X7))
% 1.54/0.86 <= ((![X7 : $i]: ~ (hasgame @ n3 @ X7)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl338, plain,
% 1.54/0.86 (( (hasgame @ n3 @ solitaire)) <= ((![X7 : $i]: ~ (hasgame @ n3 @ X7)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl333, zip_derived_cl157, zip_derived_cl157,
% 1.54/0.86 zip_derived_cl157])).
% 1.54/0.86 thf(zip_derived_cl157, plain,
% 1.54/0.86 ((![X7 : $i]: ~ (hasgame @ n3 @ X7))
% 1.54/0.86 <= ((![X7 : $i]: ~ (hasgame @ n3 @ X7)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('11', plain, (~ (![X7 : $i]: ~ (hasgame @ n3 @ X7))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl338, zip_derived_cl157])).
% 1.54/0.86 thf(zip_derived_cl160, plain,
% 1.54/0.86 ((![X22 : $i]: ~ (hasperson @ n3 @ X22))
% 1.54/0.86 <= ((![X22 : $i]: ~ (hasperson @ n3 @ X22)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl73, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hasperson @ X0 @ englishman)
% 1.54/0.86 | (hasperson @ X0 @ italian)
% 1.54/0.86 | (hasperson @ X0 @ swede)
% 1.54/0.86 | (hasperson @ X0 @ russian)
% 1.54/0.86 | (hasperson @ X0 @ american))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_national])).
% 1.54/0.86 thf(zip_derived_cl218, plain,
% 1.54/0.86 ((( (hasperson @ n3 @ englishman)
% 1.54/0.86 | (hasperson @ n3 @ italian)
% 1.54/0.86 | (hasperson @ n3 @ swede)
% 1.54/0.86 | (hasperson @ n3 @ russian)))
% 1.54/0.86 <= ((![X22 : $i]: ~ (hasperson @ n3 @ X22)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl73])).
% 1.54/0.86 thf(zip_derived_cl160, plain,
% 1.54/0.86 ((![X22 : $i]: ~ (hasperson @ n3 @ X22))
% 1.54/0.86 <= ((![X22 : $i]: ~ (hasperson @ n3 @ X22)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl160, plain,
% 1.54/0.86 ((![X22 : $i]: ~ (hasperson @ n3 @ X22))
% 1.54/0.86 <= ((![X22 : $i]: ~ (hasperson @ n3 @ X22)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl160, plain,
% 1.54/0.86 ((![X22 : $i]: ~ (hasperson @ n3 @ X22))
% 1.54/0.86 <= ((![X22 : $i]: ~ (hasperson @ n3 @ X22)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl222, plain,
% 1.54/0.86 (( (hasperson @ n3 @ russian))
% 1.54/0.86 <= ((![X22 : $i]: ~ (hasperson @ n3 @ X22)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl218, zip_derived_cl160, zip_derived_cl160,
% 1.54/0.86 zip_derived_cl160])).
% 1.54/0.86 thf(zip_derived_cl160, plain,
% 1.54/0.86 ((![X22 : $i]: ~ (hasperson @ n3 @ X22))
% 1.54/0.86 <= ((![X22 : $i]: ~ (hasperson @ n3 @ X22)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('12', plain, (~ (![X22 : $i]: ~ (hasperson @ n3 @ X22))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl222, zip_derived_cl160])).
% 1.54/0.86 thf(zip_derived_cl155, plain,
% 1.54/0.86 ((![X8 : $i]: ~ (hasgame @ n2 @ X8))
% 1.54/0.86 <= ((![X8 : $i]: ~ (hasgame @ n2 @ X8)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl79, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hasgame @ X0 @ backgammon)
% 1.54/0.86 | (hasgame @ X0 @ racquetball)
% 1.54/0.86 | (hasgame @ X0 @ quoits)
% 1.54/0.86 | (hasgame @ X0 @ solitaire)
% 1.54/0.86 | (hasgame @ X0 @ charades))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_game])).
% 1.54/0.86 thf(zip_derived_cl332, plain,
% 1.54/0.86 ((( (hasgame @ n2 @ backgammon)
% 1.54/0.86 | (hasgame @ n2 @ racquetball)
% 1.54/0.86 | (hasgame @ n2 @ quoits)
% 1.54/0.86 | (hasgame @ n2 @ solitaire)))
% 1.54/0.86 <= ((![X8 : $i]: ~ (hasgame @ n2 @ X8)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl79])).
% 1.54/0.86 thf(zip_derived_cl155, plain,
% 1.54/0.86 ((![X8 : $i]: ~ (hasgame @ n2 @ X8))
% 1.54/0.86 <= ((![X8 : $i]: ~ (hasgame @ n2 @ X8)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl155, plain,
% 1.54/0.86 ((![X8 : $i]: ~ (hasgame @ n2 @ X8))
% 1.54/0.86 <= ((![X8 : $i]: ~ (hasgame @ n2 @ X8)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl155, plain,
% 1.54/0.86 ((![X8 : $i]: ~ (hasgame @ n2 @ X8))
% 1.54/0.86 <= ((![X8 : $i]: ~ (hasgame @ n2 @ X8)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl337, plain,
% 1.54/0.86 (( (hasgame @ n2 @ solitaire)) <= ((![X8 : $i]: ~ (hasgame @ n2 @ X8)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl332, zip_derived_cl155, zip_derived_cl155,
% 1.54/0.86 zip_derived_cl155])).
% 1.54/0.86 thf(zip_derived_cl155, plain,
% 1.54/0.86 ((![X8 : $i]: ~ (hasgame @ n2 @ X8))
% 1.54/0.86 <= ((![X8 : $i]: ~ (hasgame @ n2 @ X8)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('13', plain, (~ (![X8 : $i]: ~ (hasgame @ n2 @ X8))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl337, zip_derived_cl155])).
% 1.54/0.86 thf(zip_derived_cl158, plain,
% 1.54/0.86 ((![X23 : $i]: ~ (hasperson @ n2 @ X23))
% 1.54/0.86 <= ((![X23 : $i]: ~ (hasperson @ n2 @ X23)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl73, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hasperson @ X0 @ englishman)
% 1.54/0.86 | (hasperson @ X0 @ italian)
% 1.54/0.86 | (hasperson @ X0 @ swede)
% 1.54/0.86 | (hasperson @ X0 @ russian)
% 1.54/0.86 | (hasperson @ X0 @ american))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_national])).
% 1.54/0.86 thf(zip_derived_cl217, plain,
% 1.54/0.86 ((( (hasperson @ n2 @ englishman)
% 1.54/0.86 | (hasperson @ n2 @ italian)
% 1.54/0.86 | (hasperson @ n2 @ swede)
% 1.54/0.86 | (hasperson @ n2 @ russian)))
% 1.54/0.86 <= ((![X23 : $i]: ~ (hasperson @ n2 @ X23)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl158, zip_derived_cl73])).
% 1.54/0.86 thf(zip_derived_cl158, plain,
% 1.54/0.86 ((![X23 : $i]: ~ (hasperson @ n2 @ X23))
% 1.54/0.86 <= ((![X23 : $i]: ~ (hasperson @ n2 @ X23)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl158, plain,
% 1.54/0.86 ((![X23 : $i]: ~ (hasperson @ n2 @ X23))
% 1.54/0.86 <= ((![X23 : $i]: ~ (hasperson @ n2 @ X23)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl158, plain,
% 1.54/0.86 ((![X23 : $i]: ~ (hasperson @ n2 @ X23))
% 1.54/0.86 <= ((![X23 : $i]: ~ (hasperson @ n2 @ X23)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl221, plain,
% 1.54/0.86 (( (hasperson @ n2 @ russian))
% 1.54/0.86 <= ((![X23 : $i]: ~ (hasperson @ n2 @ X23)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl217, zip_derived_cl158, zip_derived_cl158,
% 1.54/0.86 zip_derived_cl158])).
% 1.54/0.86 thf(zip_derived_cl158, plain,
% 1.54/0.86 ((![X23 : $i]: ~ (hasperson @ n2 @ X23))
% 1.54/0.86 <= ((![X23 : $i]: ~ (hasperson @ n2 @ X23)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('14', plain, (~ (![X23 : $i]: ~ (hasperson @ n2 @ X23))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl221, zip_derived_cl158])).
% 1.54/0.86 thf(zip_derived_cl154, plain,
% 1.54/0.86 ((![X9 : $i]: ~ (hasgame @ n1 @ X9))
% 1.54/0.86 <= ((![X9 : $i]: ~ (hasgame @ n1 @ X9)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl79, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hasgame @ X0 @ backgammon)
% 1.54/0.86 | (hasgame @ X0 @ racquetball)
% 1.54/0.86 | (hasgame @ X0 @ quoits)
% 1.54/0.86 | (hasgame @ X0 @ solitaire)
% 1.54/0.86 | (hasgame @ X0 @ charades))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_game])).
% 1.54/0.86 thf(zip_derived_cl331, plain,
% 1.54/0.86 ((( (hasgame @ n1 @ backgammon)
% 1.54/0.86 | (hasgame @ n1 @ racquetball)
% 1.54/0.86 | (hasgame @ n1 @ quoits)
% 1.54/0.86 | (hasgame @ n1 @ solitaire)))
% 1.54/0.86 <= ((![X9 : $i]: ~ (hasgame @ n1 @ X9)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl79])).
% 1.54/0.86 thf(zip_derived_cl154, plain,
% 1.54/0.86 ((![X9 : $i]: ~ (hasgame @ n1 @ X9))
% 1.54/0.86 <= ((![X9 : $i]: ~ (hasgame @ n1 @ X9)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl154, plain,
% 1.54/0.86 ((![X9 : $i]: ~ (hasgame @ n1 @ X9))
% 1.54/0.86 <= ((![X9 : $i]: ~ (hasgame @ n1 @ X9)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl154, plain,
% 1.54/0.86 ((![X9 : $i]: ~ (hasgame @ n1 @ X9))
% 1.54/0.86 <= ((![X9 : $i]: ~ (hasgame @ n1 @ X9)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl336, plain,
% 1.54/0.86 (( (hasgame @ n1 @ solitaire)) <= ((![X9 : $i]: ~ (hasgame @ n1 @ X9)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl331, zip_derived_cl154, zip_derived_cl154,
% 1.54/0.86 zip_derived_cl154])).
% 1.54/0.86 thf(zip_derived_cl154, plain,
% 1.54/0.86 ((![X9 : $i]: ~ (hasgame @ n1 @ X9))
% 1.54/0.86 <= ((![X9 : $i]: ~ (hasgame @ n1 @ X9)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('15', plain, (~ (![X9 : $i]: ~ (hasgame @ n1 @ X9))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl336, zip_derived_cl154])).
% 1.54/0.86 thf(house_1_has_russian, axiom, (hasperson @ n1 @ russian)).
% 1.54/0.86 thf(zip_derived_cl146, plain, ( (hasperson @ n1 @ russian)),
% 1.54/0.86 inference('cnf', [status(esa)], [house_1_has_russian])).
% 1.54/0.86 thf(zip_derived_cl156, plain,
% 1.54/0.86 ((![X24 : $i]: ~ (hasperson @ n1 @ X24))
% 1.54/0.86 <= ((![X24 : $i]: ~ (hasperson @ n1 @ X24)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('16', plain, (~ (![X24 : $i]: ~ (hasperson @ n1 @ X24))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl156])).
% 1.54/0.86 thf(zip_derived_cl153, plain,
% 1.54/0.86 ((![X10 : $i]: ~ (hasdrink @ n5 @ X10))
% 1.54/0.86 <= ((![X10 : $i]: ~ (hasdrink @ n5 @ X10)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(every_house_has_a_drink, axiom,
% 1.54/0.86 (( hasdrink @ X @ lemonade ) | ( hasdrink @ X @ coffee ) |
% 1.54/0.86 ( hasdrink @ X @ milk ) | ( hasdrink @ X @ vodka ) |
% 1.54/0.86 ( hasdrink @ X @ unknown_drink ))).
% 1.54/0.86 thf(zip_derived_cl77, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hasdrink @ X0 @ lemonade)
% 1.54/0.86 | (hasdrink @ X0 @ coffee)
% 1.54/0.86 | (hasdrink @ X0 @ milk)
% 1.54/0.86 | (hasdrink @ X0 @ vodka)
% 1.54/0.86 | (hasdrink @ X0 @ unknown_drink))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_drink])).
% 1.54/0.86 thf(zip_derived_cl281, plain,
% 1.54/0.86 ((( (hasdrink @ n5 @ lemonade)
% 1.54/0.86 | (hasdrink @ n5 @ coffee)
% 1.54/0.86 | (hasdrink @ n5 @ milk)
% 1.54/0.86 | (hasdrink @ n5 @ vodka)))
% 1.54/0.86 <= ((![X10 : $i]: ~ (hasdrink @ n5 @ X10)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl77])).
% 1.54/0.86 thf(zip_derived_cl153, plain,
% 1.54/0.86 ((![X10 : $i]: ~ (hasdrink @ n5 @ X10))
% 1.54/0.86 <= ((![X10 : $i]: ~ (hasdrink @ n5 @ X10)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl153, plain,
% 1.54/0.86 ((![X10 : $i]: ~ (hasdrink @ n5 @ X10))
% 1.54/0.86 <= ((![X10 : $i]: ~ (hasdrink @ n5 @ X10)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl153, plain,
% 1.54/0.86 ((![X10 : $i]: ~ (hasdrink @ n5 @ X10))
% 1.54/0.86 <= ((![X10 : $i]: ~ (hasdrink @ n5 @ X10)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl285, plain,
% 1.54/0.86 (( (hasdrink @ n5 @ vodka)) <= ((![X10 : $i]: ~ (hasdrink @ n5 @ X10)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl281, zip_derived_cl153, zip_derived_cl153,
% 1.54/0.86 zip_derived_cl153])).
% 1.54/0.86 thf(zip_derived_cl153, plain,
% 1.54/0.86 ((![X10 : $i]: ~ (hasdrink @ n5 @ X10))
% 1.54/0.86 <= ((![X10 : $i]: ~ (hasdrink @ n5 @ X10)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('17', plain, (~ (![X10 : $i]: ~ (hasdrink @ n5 @ X10))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl153])).
% 1.54/0.86 thf(zip_derived_cl152, plain,
% 1.54/0.86 ((![X11 : $i]: ~ (hasdrink @ n4 @ X11))
% 1.54/0.86 <= ((![X11 : $i]: ~ (hasdrink @ n4 @ X11)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl77, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hasdrink @ X0 @ lemonade)
% 1.54/0.86 | (hasdrink @ X0 @ coffee)
% 1.54/0.86 | (hasdrink @ X0 @ milk)
% 1.54/0.86 | (hasdrink @ X0 @ vodka)
% 1.54/0.86 | (hasdrink @ X0 @ unknown_drink))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_drink])).
% 1.54/0.86 thf(zip_derived_cl280, plain,
% 1.54/0.86 ((( (hasdrink @ n4 @ lemonade)
% 1.54/0.86 | (hasdrink @ n4 @ coffee)
% 1.54/0.86 | (hasdrink @ n4 @ milk)
% 1.54/0.86 | (hasdrink @ n4 @ vodka)))
% 1.54/0.86 <= ((![X11 : $i]: ~ (hasdrink @ n4 @ X11)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl77])).
% 1.54/0.86 thf(zip_derived_cl152, plain,
% 1.54/0.86 ((![X11 : $i]: ~ (hasdrink @ n4 @ X11))
% 1.54/0.86 <= ((![X11 : $i]: ~ (hasdrink @ n4 @ X11)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl152, plain,
% 1.54/0.86 ((![X11 : $i]: ~ (hasdrink @ n4 @ X11))
% 1.54/0.86 <= ((![X11 : $i]: ~ (hasdrink @ n4 @ X11)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl152, plain,
% 1.54/0.86 ((![X11 : $i]: ~ (hasdrink @ n4 @ X11))
% 1.54/0.86 <= ((![X11 : $i]: ~ (hasdrink @ n4 @ X11)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl284, plain,
% 1.54/0.86 (( (hasdrink @ n4 @ vodka)) <= ((![X11 : $i]: ~ (hasdrink @ n4 @ X11)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl280, zip_derived_cl152, zip_derived_cl152,
% 1.54/0.86 zip_derived_cl152])).
% 1.54/0.86 thf(zip_derived_cl152, plain,
% 1.54/0.86 ((![X11 : $i]: ~ (hasdrink @ n4 @ X11))
% 1.54/0.86 <= ((![X11 : $i]: ~ (hasdrink @ n4 @ X11)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('18', plain, (~ (![X11 : $i]: ~ (hasdrink @ n4 @ X11))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl284, zip_derived_cl152])).
% 1.54/0.86 thf(zip_derived_cl150, plain,
% 1.54/0.86 ((![X13 : $i]: ~ (hasdrink @ n2 @ X13))
% 1.54/0.86 <= ((![X13 : $i]: ~ (hasdrink @ n2 @ X13)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl77, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hasdrink @ X0 @ lemonade)
% 1.54/0.86 | (hasdrink @ X0 @ coffee)
% 1.54/0.86 | (hasdrink @ X0 @ milk)
% 1.54/0.86 | (hasdrink @ X0 @ vodka)
% 1.54/0.86 | (hasdrink @ X0 @ unknown_drink))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_drink])).
% 1.54/0.86 thf(zip_derived_cl279, plain,
% 1.54/0.86 ((( (hasdrink @ n2 @ lemonade)
% 1.54/0.86 | (hasdrink @ n2 @ coffee)
% 1.54/0.86 | (hasdrink @ n2 @ milk)
% 1.54/0.86 | (hasdrink @ n2 @ vodka)))
% 1.54/0.86 <= ((![X13 : $i]: ~ (hasdrink @ n2 @ X13)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl150, zip_derived_cl77])).
% 1.54/0.86 thf(zip_derived_cl150, plain,
% 1.54/0.86 ((![X13 : $i]: ~ (hasdrink @ n2 @ X13))
% 1.54/0.86 <= ((![X13 : $i]: ~ (hasdrink @ n2 @ X13)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl150, plain,
% 1.54/0.86 ((![X13 : $i]: ~ (hasdrink @ n2 @ X13))
% 1.54/0.86 <= ((![X13 : $i]: ~ (hasdrink @ n2 @ X13)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl150, plain,
% 1.54/0.86 ((![X13 : $i]: ~ (hasdrink @ n2 @ X13))
% 1.54/0.86 <= ((![X13 : $i]: ~ (hasdrink @ n2 @ X13)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl283, plain,
% 1.54/0.86 (( (hasdrink @ n2 @ vodka)) <= ((![X13 : $i]: ~ (hasdrink @ n2 @ X13)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl279, zip_derived_cl150, zip_derived_cl150,
% 1.54/0.86 zip_derived_cl150])).
% 1.54/0.86 thf(zip_derived_cl150, plain,
% 1.54/0.86 ((![X13 : $i]: ~ (hasdrink @ n2 @ X13))
% 1.54/0.86 <= ((![X13 : $i]: ~ (hasdrink @ n2 @ X13)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('19', plain, (~ (![X13 : $i]: ~ (hasdrink @ n2 @ X13))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl283, zip_derived_cl150])).
% 1.54/0.86 thf(zip_derived_cl149, plain,
% 1.54/0.86 ((![X14 : $i]: ~ (hasdrink @ n1 @ X14))
% 1.54/0.86 <= ((![X14 : $i]: ~ (hasdrink @ n1 @ X14)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl77, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hasdrink @ X0 @ lemonade)
% 1.54/0.86 | (hasdrink @ X0 @ coffee)
% 1.54/0.86 | (hasdrink @ X0 @ milk)
% 1.54/0.86 | (hasdrink @ X0 @ vodka)
% 1.54/0.86 | (hasdrink @ X0 @ unknown_drink))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_drink])).
% 1.54/0.86 thf(zip_derived_cl278, plain,
% 1.54/0.86 ((( (hasdrink @ n1 @ lemonade)
% 1.54/0.86 | (hasdrink @ n1 @ coffee)
% 1.54/0.86 | (hasdrink @ n1 @ milk)
% 1.54/0.86 | (hasdrink @ n1 @ vodka)))
% 1.54/0.86 <= ((![X14 : $i]: ~ (hasdrink @ n1 @ X14)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl149, zip_derived_cl77])).
% 1.54/0.86 thf(zip_derived_cl149, plain,
% 1.54/0.86 ((![X14 : $i]: ~ (hasdrink @ n1 @ X14))
% 1.54/0.86 <= ((![X14 : $i]: ~ (hasdrink @ n1 @ X14)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl149, plain,
% 1.54/0.86 ((![X14 : $i]: ~ (hasdrink @ n1 @ X14))
% 1.54/0.86 <= ((![X14 : $i]: ~ (hasdrink @ n1 @ X14)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl149, plain,
% 1.54/0.86 ((![X14 : $i]: ~ (hasdrink @ n1 @ X14))
% 1.54/0.86 <= ((![X14 : $i]: ~ (hasdrink @ n1 @ X14)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl282, plain,
% 1.54/0.86 (( (hasdrink @ n1 @ vodka)) <= ((![X14 : $i]: ~ (hasdrink @ n1 @ X14)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl278, zip_derived_cl149, zip_derived_cl149,
% 1.54/0.86 zip_derived_cl149])).
% 1.54/0.86 thf(zip_derived_cl149, plain,
% 1.54/0.86 ((![X14 : $i]: ~ (hasdrink @ n1 @ X14))
% 1.54/0.86 <= ((![X14 : $i]: ~ (hasdrink @ n1 @ X14)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('20', plain, (~ (![X14 : $i]: ~ (hasdrink @ n1 @ X14))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl282, zip_derived_cl149])).
% 1.54/0.86 thf(house_3_has_milk, axiom, (hasdrink @ n3 @ milk)).
% 1.54/0.86 thf(zip_derived_cl145, plain, ( (hasdrink @ n3 @ milk)),
% 1.54/0.86 inference('cnf', [status(esa)], [house_3_has_milk])).
% 1.54/0.86 thf(zip_derived_cl151, plain,
% 1.54/0.86 ((![X12 : $i]: ~ (hasdrink @ n3 @ X12))
% 1.54/0.86 <= ((![X12 : $i]: ~ (hasdrink @ n3 @ X12)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('21', plain, (~ (![X12 : $i]: ~ (hasdrink @ n3 @ X12))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl151])).
% 1.54/0.86 thf(zip_derived_cl148, plain,
% 1.54/0.86 ((![X15 : $i]: ~ (hascolor @ n5 @ X15))
% 1.54/0.86 <= ((![X15 : $i]: ~ (hascolor @ n5 @ X15)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl75, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (hascolor @ X0 @ red)
% 1.54/0.86 | (hascolor @ X0 @ white)
% 1.54/0.86 | (hascolor @ X0 @ green)
% 1.54/0.86 | (hascolor @ X0 @ yellow)
% 1.54/0.86 | (hascolor @ X0 @ blue))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_color])).
% 1.54/0.86 thf(zip_derived_cl256, plain,
% 1.54/0.86 ((( (hascolor @ n5 @ red)
% 1.54/0.86 | (hascolor @ n5 @ white)
% 1.54/0.86 | (hascolor @ n5 @ green)
% 1.54/0.86 | (hascolor @ n5 @ yellow)))
% 1.54/0.86 <= ((![X15 : $i]: ~ (hascolor @ n5 @ X15)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl75])).
% 1.54/0.86 thf(zip_derived_cl148, plain,
% 1.54/0.86 ((![X15 : $i]: ~ (hascolor @ n5 @ X15))
% 1.54/0.86 <= ((![X15 : $i]: ~ (hascolor @ n5 @ X15)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl148, plain,
% 1.54/0.86 ((![X15 : $i]: ~ (hascolor @ n5 @ X15))
% 1.54/0.86 <= ((![X15 : $i]: ~ (hascolor @ n5 @ X15)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl148, plain,
% 1.54/0.86 ((![X15 : $i]: ~ (hascolor @ n5 @ X15))
% 1.54/0.86 <= ((![X15 : $i]: ~ (hascolor @ n5 @ X15)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl261, plain,
% 1.54/0.86 (( (hascolor @ n5 @ yellow)) <= ((![X15 : $i]: ~ (hascolor @ n5 @ X15)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl256, zip_derived_cl148, zip_derived_cl148,
% 1.54/0.86 zip_derived_cl148])).
% 1.54/0.86 thf(zip_derived_cl148, plain,
% 1.54/0.86 ((![X15 : $i]: ~ (hascolor @ n5 @ X15))
% 1.54/0.86 <= ((![X15 : $i]: ~ (hascolor @ n5 @ X15)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('22', plain, (~ (![X15 : $i]: ~ (hascolor @ n5 @ X15))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl261, zip_derived_cl148])).
% 1.54/0.86 thf(zip_derived_cl169, plain,
% 1.54/0.86 ((![X1 : $i]: ~ (haspet @ n4 @ X1))
% 1.54/0.86 <= ((![X1 : $i]: ~ (haspet @ n4 @ X1)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl81, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (haspet @ X0 @ guppy)
% 1.54/0.86 | (haspet @ X0 @ toad)
% 1.54/0.86 | (haspet @ X0 @ camel)
% 1.54/0.86 | (haspet @ X0 @ rat)
% 1.54/0.86 | (haspet @ X0 @ no_pet))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_pet])).
% 1.54/0.86 thf(zip_derived_cl363, plain,
% 1.54/0.86 ((( (haspet @ n4 @ guppy)
% 1.54/0.86 | (haspet @ n4 @ toad)
% 1.54/0.86 | (haspet @ n4 @ camel)
% 1.54/0.86 | (haspet @ n4 @ rat))) <= ((![X1 : $i]: ~ (haspet @ n4 @ X1)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl169, zip_derived_cl81])).
% 1.54/0.86 thf(zip_derived_cl169, plain,
% 1.54/0.86 ((![X1 : $i]: ~ (haspet @ n4 @ X1))
% 1.54/0.86 <= ((![X1 : $i]: ~ (haspet @ n4 @ X1)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl169, plain,
% 1.54/0.86 ((![X1 : $i]: ~ (haspet @ n4 @ X1))
% 1.54/0.86 <= ((![X1 : $i]: ~ (haspet @ n4 @ X1)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl169, plain,
% 1.54/0.86 ((![X1 : $i]: ~ (haspet @ n4 @ X1))
% 1.54/0.86 <= ((![X1 : $i]: ~ (haspet @ n4 @ X1)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl368, plain,
% 1.54/0.86 (( (haspet @ n4 @ rat)) <= ((![X1 : $i]: ~ (haspet @ n4 @ X1)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl363, zip_derived_cl169, zip_derived_cl169,
% 1.54/0.86 zip_derived_cl169])).
% 1.54/0.86 thf(zip_derived_cl169, plain,
% 1.54/0.86 ((![X1 : $i]: ~ (haspet @ n4 @ X1))
% 1.54/0.86 <= ((![X1 : $i]: ~ (haspet @ n4 @ X1)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('23', plain, (~ (![X1 : $i]: ~ (haspet @ n4 @ X1))),
% 1.54/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl368, zip_derived_cl169])).
% 1.54/0.86 thf('24', plain,
% 1.54/0.86 ((![X0 : $i]: ~ (haspet @ n5 @ X0)) |
% 1.54/0.86 (![X1 : $i]: ~ (haspet @ n4 @ X1)) |
% 1.54/0.86 (![X15 : $i]: ~ (hascolor @ n5 @ X15)) |
% 1.54/0.86 (![X12 : $i]: ~ (hasdrink @ n3 @ X12)) |
% 1.54/0.86 (![X14 : $i]: ~ (hasdrink @ n1 @ X14)) |
% 1.54/0.86 (![X13 : $i]: ~ (hasdrink @ n2 @ X13)) |
% 1.54/0.86 (![X11 : $i]: ~ (hasdrink @ n4 @ X11)) |
% 1.54/0.86 (![X10 : $i]: ~ (hasdrink @ n5 @ X10)) |
% 1.54/0.86 (![X24 : $i]: ~ (hasperson @ n1 @ X24)) |
% 1.54/0.86 (![X9 : $i]: ~ (hasgame @ n1 @ X9)) |
% 1.54/0.86 (![X23 : $i]: ~ (hasperson @ n2 @ X23)) |
% 1.54/0.86 (![X8 : $i]: ~ (hasgame @ n2 @ X8)) |
% 1.54/0.86 (![X22 : $i]: ~ (hasperson @ n3 @ X22)) |
% 1.54/0.86 (![X7 : $i]: ~ (hasgame @ n3 @ X7)) |
% 1.54/0.86 (![X21 : $i]: ~ (hasperson @ n4 @ X21)) |
% 1.54/0.86 (![X6 : $i]: ~ (hasgame @ n4 @ X6)) |
% 1.54/0.86 (![X20 : $i]: ~ (hasperson @ n5 @ X20)) |
% 1.54/0.86 (![X5 : $i]: ~ (hasgame @ n5 @ X5)) |
% 1.54/0.86 (![X19 : $i]: ~ (hascolor @ n1 @ X19)) |
% 1.54/0.86 (![X4 : $i]: ~ (haspet @ n1 @ X4)) |
% 1.54/0.86 (![X18 : $i]: ~ (hascolor @ n2 @ X18)) |
% 1.54/0.86 (![X3 : $i]: ~ (haspet @ n2 @ X3)) |
% 1.54/0.86 (![X17 : $i]: ~ (hascolor @ n3 @ X17)) |
% 1.54/0.86 (![X2 : $i]: ~ (haspet @ n3 @ X2)) |
% 1.54/0.86 (![X16 : $i]: ~ (hascolor @ n4 @ X16))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf('25', plain, ((![X0 : $i]: ~ (haspet @ n5 @ X0))),
% 1.54/0.86 inference('sat_resolution*', [status(thm)],
% 1.54/0.86 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 1.54/0.86 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 1.54/0.86 '22', '23', '24'])).
% 1.54/0.86 thf(zip_derived_cl384, plain, (![X0 : $i]: ~ (haspet @ n5 @ X0)),
% 1.54/0.86 inference('simpl_trail', [status(thm)], [zip_derived_cl171, '25'])).
% 1.54/0.86 thf(zip_derived_cl171, plain,
% 1.54/0.86 ((![X0 : $i]: ~ (haspet @ n5 @ X0))
% 1.54/0.86 <= ((![X0 : $i]: ~ (haspet @ n5 @ X0)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl81, plain,
% 1.54/0.86 (![X0 : $i]:
% 1.54/0.86 ( (haspet @ X0 @ guppy)
% 1.54/0.86 | (haspet @ X0 @ toad)
% 1.54/0.86 | (haspet @ X0 @ camel)
% 1.54/0.86 | (haspet @ X0 @ rat)
% 1.54/0.86 | (haspet @ X0 @ no_pet))),
% 1.54/0.86 inference('cnf', [status(esa)], [every_house_has_a_pet])).
% 1.54/0.86 thf(zip_derived_cl364, plain,
% 1.54/0.86 ((( (haspet @ n5 @ guppy)
% 1.54/0.86 | (haspet @ n5 @ toad)
% 1.54/0.86 | (haspet @ n5 @ camel)
% 1.54/0.86 | (haspet @ n5 @ rat))) <= ((![X0 : $i]: ~ (haspet @ n5 @ X0)))),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl81])).
% 1.54/0.86 thf(zip_derived_cl171, plain,
% 1.54/0.86 ((![X0 : $i]: ~ (haspet @ n5 @ X0))
% 1.54/0.86 <= ((![X0 : $i]: ~ (haspet @ n5 @ X0)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl171, plain,
% 1.54/0.86 ((![X0 : $i]: ~ (haspet @ n5 @ X0))
% 1.54/0.86 <= ((![X0 : $i]: ~ (haspet @ n5 @ X0)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl171, plain,
% 1.54/0.86 ((![X0 : $i]: ~ (haspet @ n5 @ X0))
% 1.54/0.86 <= ((![X0 : $i]: ~ (haspet @ n5 @ X0)))),
% 1.54/0.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.54/0.86 thf(zip_derived_cl369, plain,
% 1.54/0.86 (( (haspet @ n5 @ rat)) <= ((![X0 : $i]: ~ (haspet @ n5 @ X0)))),
% 1.54/0.86 inference('demod', [status(thm)],
% 1.54/0.86 [zip_derived_cl364, zip_derived_cl171, zip_derived_cl171,
% 1.54/0.86 zip_derived_cl171])).
% 1.54/0.86 thf('26', plain, ((![X0 : $i]: ~ (haspet @ n5 @ X0))),
% 1.54/0.86 inference('sat_resolution*', [status(thm)],
% 1.54/0.86 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 1.54/0.86 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 1.54/0.86 '22', '23', '24'])).
% 1.54/0.86 thf(zip_derived_cl383, plain, ( (haspet @ n5 @ rat)),
% 1.54/0.86 inference('simpl_trail', [status(thm)], [zip_derived_cl369, '26'])).
% 1.54/0.86 thf(zip_derived_cl390, plain, ($false),
% 1.54/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl384, zip_derived_cl383])).
% 1.54/0.86
% 1.54/0.86 % SZS output end Refutation
% 1.54/0.86
% 1.54/0.86
% 1.54/0.86 % Terminating...
% 2.28/0.96 % Runner terminated.
% 2.28/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------