TSTP Solution File: SYN036-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN036-3 : 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.nJCCFYxMVr true
% Computer : n003.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 : Fri Sep 1 04:01:12 EDT 2023
% Result : Unsatisfiable 1.39s 0.81s
% Output : Refutation 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN036-3 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nJCCFYxMVr true
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 17:33:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.39/0.81 % Solved by fo/fo1_av.sh.
% 1.39/0.81 % done 134 iterations in 0.019s
% 1.39/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.39/0.81 % SZS output start Refutation
% 1.39/0.81 thf(s6_type, type, s6: $i).
% 1.39/0.81 thf(n1_type, type, n1: $i > $o).
% 1.39/0.81 thf(q_type, type, q: $i > $o).
% 1.39/0.81 thf(n3_type, type, n3: $o).
% 1.39/0.81 thf(n10_type, type, n10: $o).
% 1.39/0.81 thf(n4_type, type, n4: $o).
% 1.39/0.81 thf(s2_type, type, s2: $i).
% 1.39/0.81 thf(n6_type, type, n6: $o).
% 1.39/0.81 thf(n9_type, type, n9: $o).
% 1.39/0.81 thf(s7_type, type, s7: $i).
% 1.39/0.81 thf(s4_type, type, s4: $i).
% 1.39/0.81 thf(p_type, type, p: $i > $o).
% 1.39/0.81 thf(n2_type, type, n2: $o).
% 1.39/0.81 thf(s3_type, type, s3: $i).
% 1.39/0.81 thf(s5_type, type, s5: $i > $i).
% 1.39/0.81 thf(s1_type, type, s1: $i > $i).
% 1.39/0.81 thf(n7_type, type, n7: $o).
% 1.39/0.81 thf(n5_type, type, n5: $i > $o).
% 1.39/0.81 thf(s8_type, type, s8: $i).
% 1.39/0.81 thf(n8_type, type, n8: $o).
% 1.39/0.81 thf(clause_4, conjecture, (~( ( n10 ) | ( n6 ) | ( n9 ) | ( n2 ) ))).
% 1.39/0.81 thf(zf_stmt_0, negated_conjecture, (( n10 ) | ( n6 ) | ( n9 ) | ( n2 )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_4])).
% 1.39/0.81 thf(zip_derived_cl3, plain, (( (n10) | (n6) | (n9) | (n2))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.39/0.81 thf('0', plain, (( (n2)) | ( (n10)) | ( (n6)) | ( (n9))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl3])).
% 1.39/0.81 thf(clause_6, conjecture,
% 1.39/0.81 (~( ( ~( n10 ) ) | ( n6 ) | ( n9 ) | ( ~( n2 ) ) ))).
% 1.39/0.81 thf(zf_stmt_1, negated_conjecture,
% 1.39/0.81 (( ~( n10 ) ) | ( n6 ) | ( n9 ) | ( ~( n2 ) )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_6])).
% 1.39/0.81 thf(zip_derived_cl5, plain, ((~ (n10) | (n6) | (n9) | ~ (n2))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.39/0.81 thf('1', plain, (~ ( (n10)) | ~ ( (n2)) | ( (n9)) | ( (n6))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl5])).
% 1.39/0.81 thf(clause_19, conjecture, (~( ( n4 ) | ( ~( q @ s4 ) ) ))).
% 1.39/0.81 thf(zf_stmt_2, negated_conjecture, (( n4 ) | ( ~( q @ s4 ) )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_19])).
% 1.39/0.81 thf(zip_derived_cl18, plain, (( (n4) | ~ (q @ s4))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.39/0.81 thf('2', plain, (~ ( (q @ s4)) | ( (n4))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl18])).
% 1.39/0.81 thf(clause_17, conjecture,
% 1.39/0.81 (~( ( q @ X5 ) | ( ~( q @ X ) ) | ( ~( n5 @ X ) ) ))).
% 1.39/0.81 thf(zf_stmt_3, negated_conjecture,
% 1.39/0.81 (( q @ X5 ) | ( ~( q @ X ) ) | ( ~( n5 @ X ) )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_17])).
% 1.39/0.81 thf(zip_derived_cl16, plain,
% 1.39/0.81 (![X0 : $i, X1 : $i]: ( (q @ X0) | ~ (q @ X1) | ~ (n5 @ X1))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.39/0.81 thf(zip_derived_cl81, plain,
% 1.39/0.81 ((![X0 : $i]: (q @ X0)) <= ((![X0 : $i]: (q @ X0)))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl16])).
% 1.39/0.81 thf(zip_derived_cl84, plain, ((~ (q @ s4)) <= (~ ( (q @ s4)))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl18])).
% 1.39/0.81 thf('3', plain, (~ (![X0 : $i]: (q @ X0)) | ( (q @ s4))),
% 1.39/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl84])).
% 1.39/0.81 thf('4', plain,
% 1.39/0.81 ((![X1 : $i]: (~ (q @ X1) | ~ (n5 @ X1))) | (![X0 : $i]: (q @ X0))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl16])).
% 1.39/0.81 thf(clause_28, conjecture,
% 1.39/0.81 (~( ( ~( p @ X1 ) ) | ( p @ X ) | ( ~( n1 @ X ) ) ))).
% 1.39/0.81 thf(zf_stmt_4, negated_conjecture,
% 1.39/0.81 (( ~( p @ X1 ) ) | ( p @ X ) | ( ~( n1 @ X ) )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_28])).
% 1.39/0.81 thf(zip_derived_cl27, plain,
% 1.39/0.81 (![X0 : $i, X1 : $i]: (~ (p @ X0) | (p @ X1) | ~ (n1 @ X1))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.39/0.81 thf(zip_derived_cl98, plain,
% 1.39/0.81 ((![X1 : $i]: ( (p @ X1) | ~ (n1 @ X1)))
% 1.39/0.81 <= ((![X1 : $i]: ( (p @ X1) | ~ (n1 @ X1))))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl27])).
% 1.39/0.81 thf(clause_24, conjecture, (~( ( n1 @ s2 ) | ( ~( n2 ) ) ))).
% 1.39/0.81 thf(zf_stmt_5, negated_conjecture, (( n1 @ s2 ) | ( ~( n2 ) )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_24])).
% 1.39/0.81 thf(zip_derived_cl23, plain, (( (n1 @ s2) | ~ (n2))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.39/0.81 thf(zip_derived_cl94, plain, (( (n1 @ s2)) <= (( (n1 @ s2)))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.39/0.81 thf(zip_derived_cl183, plain,
% 1.39/0.81 (( (p @ s2)) <= (( (n1 @ s2)) & (![X1 : $i]: ( (p @ X1) | ~ (n1 @ X1))))),
% 1.39/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl94])).
% 1.39/0.81 thf(zip_derived_cl94, plain, (( (n1 @ s2)) <= (( (n1 @ s2)))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.39/0.81 thf(clause_27, conjecture,
% 1.39/0.81 (~( ( p @ X1 ) | ( ~( p @ X ) ) | ( ~( n1 @ X ) ) ))).
% 1.39/0.81 thf(zf_stmt_6, negated_conjecture,
% 1.39/0.81 (( p @ X1 ) | ( ~( p @ X ) ) | ( ~( n1 @ X ) )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_27])).
% 1.39/0.81 thf(zip_derived_cl26, plain,
% 1.39/0.81 (![X0 : $i, X1 : $i]: ( (p @ X0) | ~ (p @ X1) | ~ (n1 @ X1))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.39/0.81 thf(zip_derived_cl96, plain,
% 1.39/0.81 ((![X1 : $i]: (~ (p @ X1) | ~ (n1 @ X1)))
% 1.39/0.81 <= ((![X1 : $i]: (~ (p @ X1) | ~ (n1 @ X1))))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl26])).
% 1.39/0.81 thf(zip_derived_cl181, plain,
% 1.39/0.81 ((~ (p @ s2))
% 1.39/0.81 <= (( (n1 @ s2)) & (![X1 : $i]: (~ (p @ X1) | ~ (n1 @ X1))))),
% 1.39/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl96])).
% 1.39/0.81 thf('5', plain,
% 1.39/0.81 (~ (![X1 : $i]: ( (p @ X1) | ~ (n1 @ X1))) | ~ ( (n1 @ s2)) |
% 1.39/0.81 ~ (![X1 : $i]: (~ (p @ X1) | ~ (n1 @ X1)))),
% 1.39/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl183, zip_derived_cl181])).
% 1.39/0.81 thf('6', plain, (( (n1 @ s2)) | ~ ( (n2))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.39/0.81 thf(clause_7, conjecture,
% 1.39/0.81 (~( ( n10 ) | ( ~( n6 ) ) | ( ~( n9 ) ) | ( n2 ) ))).
% 1.39/0.81 thf(zf_stmt_7, negated_conjecture,
% 1.39/0.81 (( n10 ) | ( ~( n6 ) ) | ( ~( n9 ) ) | ( n2 )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_7])).
% 1.39/0.81 thf(zip_derived_cl6, plain, (( (n10) | ~ (n6) | ~ (n9) | (n2))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.39/0.81 thf('7', plain, (( (n2)) | ( (n10)) | ~ ( (n9)) | ~ ( (n6))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl6])).
% 1.39/0.81 thf('8', plain,
% 1.39/0.81 ((![X1 : $i]: (~ (p @ X1) | ~ (n1 @ X1))) | (![X0 : $i]: (p @ X0))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl26])).
% 1.39/0.81 thf(clause_26, conjecture,
% 1.39/0.81 (~( ( n1 @ X ) | ( p @ ( s1 @ X ) ) | ( p @ X ) ))).
% 1.39/0.81 thf(zf_stmt_8, negated_conjecture,
% 1.39/0.81 (( n1 @ X ) | ( p @ ( s1 @ X ) ) | ( p @ X )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_26])).
% 1.39/0.81 thf(zip_derived_cl25, plain,
% 1.39/0.81 (![X0 : $i]: ( (n1 @ X0) | (p @ (s1 @ X0)) | (p @ X0))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.39/0.81 thf(clause_11, conjecture, (~( ( n7 ) | ( ~( p @ X7 ) ) ))).
% 1.39/0.81 thf(zf_stmt_9, negated_conjecture, (( n7 ) | ( ~( p @ X7 ) )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_11])).
% 1.39/0.81 thf(zip_derived_cl10, plain, (![X0 : $i]: ( (n7) | ~ (p @ X0))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.39/0.81 thf(zip_derived_cl72, plain,
% 1.39/0.81 ((![X0 : $i]: ~ (p @ X0)) <= ((![X0 : $i]: ~ (p @ X0)))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl10])).
% 1.39/0.81 thf(zip_derived_cl132, plain,
% 1.39/0.81 ((![X0 : $i]: ( (p @ X0) | (n1 @ X0))) <= ((![X0 : $i]: ~ (p @ X0)))),
% 1.39/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl72])).
% 1.39/0.81 thf(zip_derived_cl72, plain,
% 1.39/0.81 ((![X0 : $i]: ~ (p @ X0)) <= ((![X0 : $i]: ~ (p @ X0)))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl10])).
% 1.39/0.81 thf(zip_derived_cl133, plain,
% 1.39/0.81 ((![X0 : $i]: (n1 @ X0)) <= ((![X0 : $i]: ~ (p @ X0)))),
% 1.39/0.81 inference('demod', [status(thm)], [zip_derived_cl132, zip_derived_cl72])).
% 1.39/0.81 thf(clause_23, conjecture, (~( ( n2 ) | ( ~( n1 @ X2 ) ) ))).
% 1.39/0.81 thf(zf_stmt_10, negated_conjecture, (( n2 ) | ( ~( n1 @ X2 ) )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_23])).
% 1.39/0.81 thf(zip_derived_cl22, plain, (![X0 : $i]: ( (n2) | ~ (n1 @ X0))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.39/0.81 thf(zip_derived_cl92, plain,
% 1.39/0.81 ((![X0 : $i]: ~ (n1 @ X0)) <= ((![X0 : $i]: ~ (n1 @ X0)))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl22])).
% 1.39/0.81 thf('9', plain, (~ (![X0 : $i]: ~ (p @ X0)) | ~ (![X0 : $i]: ~ (n1 @ X0))),
% 1.39/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl92])).
% 1.39/0.81 thf(clause_1, conjecture,
% 1.39/0.81 (~( ( ~( n10 ) ) | ( ~( n6 ) ) | ( ~( n9 ) ) | ( ~( n2 ) ) ))).
% 1.39/0.81 thf(zf_stmt_11, negated_conjecture,
% 1.39/0.81 (( ~( n10 ) ) | ( ~( n6 ) ) | ( ~( n9 ) ) | ( ~( n2 ) )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_1])).
% 1.39/0.81 thf(zip_derived_cl0, plain, ((~ (n10) | ~ (n6) | ~ (n9) | ~ (n2))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.39/0.81 thf('10', plain, (~ ( (n10)) | ~ ( (n2)) | ~ ( (n9)) | ~ ( (n6))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl0])).
% 1.39/0.81 thf(clause_10, conjecture, (~( ( p @ X8 ) | ( ~( n8 ) ) ))).
% 1.39/0.81 thf(zf_stmt_12, negated_conjecture, (( p @ X8 ) | ( ~( n8 ) )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_10])).
% 1.39/0.81 thf(zip_derived_cl9, plain, (![X0 : $i]: ( (p @ X0) | ~ (n8))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.39/0.81 thf(zip_derived_cl70, plain,
% 1.39/0.81 ((![X0 : $i]: (p @ X0)) <= ((![X0 : $i]: (p @ X0)))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl9])).
% 1.39/0.81 thf(clause_25, conjecture,
% 1.39/0.81 (~( ( n1 @ X ) | ( ~( p @ ( s1 @ X ) ) ) | ( ~( p @ X ) ) ))).
% 1.39/0.81 thf(zf_stmt_13, negated_conjecture,
% 1.39/0.81 (( n1 @ X ) | ( ~( p @ ( s1 @ X ) ) ) | ( ~( p @ X ) )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_25])).
% 1.39/0.81 thf(zip_derived_cl24, plain,
% 1.39/0.81 (![X0 : $i]: ( (n1 @ X0) | ~ (p @ (s1 @ X0)) | ~ (p @ X0))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.39/0.81 thf(zip_derived_cl150, plain,
% 1.39/0.81 ((![X0 : $i]: ( (n1 @ X0) | ~ (p @ X0))) <= ((![X0 : $i]: (p @ X0)))),
% 1.39/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl24])).
% 1.39/0.81 thf(zip_derived_cl70, plain,
% 1.39/0.81 ((![X0 : $i]: (p @ X0)) <= ((![X0 : $i]: (p @ X0)))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl9])).
% 1.39/0.81 thf(zip_derived_cl152, plain,
% 1.39/0.81 ((![X0 : $i]: (n1 @ X0)) <= ((![X0 : $i]: (p @ X0)))),
% 1.39/0.81 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl70])).
% 1.39/0.81 thf(zip_derived_cl92, plain,
% 1.39/0.81 ((![X0 : $i]: ~ (n1 @ X0)) <= ((![X0 : $i]: ~ (n1 @ X0)))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl22])).
% 1.39/0.81 thf('11', plain, (~ (![X0 : $i]: (p @ X0)) | ~ (![X0 : $i]: ~ (n1 @ X0))),
% 1.39/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl92])).
% 1.39/0.81 thf('12', plain, (( (n2)) | (![X0 : $i]: ~ (n1 @ X0))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl22])).
% 1.39/0.81 thf(clause_13, conjecture, (~( ( n6 ) | ( ~( n5 @ X6 ) ) ))).
% 1.39/0.81 thf(zf_stmt_14, negated_conjecture, (( n6 ) | ( ~( n5 @ X6 ) )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_13])).
% 1.39/0.81 thf(zip_derived_cl12, plain, (![X0 : $i]: ( (n6) | ~ (n5 @ X0))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.39/0.81 thf('13', plain, ((![X0 : $i]: ~ (n5 @ X0)) | ( (n6))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl12])).
% 1.39/0.81 thf(zip_derived_cl81, plain,
% 1.39/0.81 ((![X0 : $i]: (q @ X0)) <= ((![X0 : $i]: (q @ X0)))),
% 1.39/0.81 inference('split', [status(esa)], [zip_derived_cl16])).
% 1.39/0.81 thf(clause_15, conjecture,
% 1.39/0.81 (~( ( n5 @ X ) | ( ~( q @ ( s5 @ X ) ) ) | ( ~( q @ X ) ) ))).
% 1.39/0.81 thf(zf_stmt_15, negated_conjecture,
% 1.39/0.81 (( n5 @ X ) | ( ~( q @ ( s5 @ X ) ) ) | ( ~( q @ X ) )),
% 1.39/0.81 inference('cnf.neg', [status(esa)], [clause_15])).
% 1.39/0.81 thf(zip_derived_cl14, plain,
% 1.39/0.81 (![X0 : $i]: ( (n5 @ X0) | ~ (q @ (s5 @ X0)) | ~ (q @ X0))),
% 1.39/0.81 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.39/0.81 thf(zip_derived_cl160, plain,
% 1.39/0.81 ((![X0 : $i]: ( (n5 @ X0) | ~ (q @ X0))) <= ((![X0 : $i]: (q @ X0)))),
% 1.39/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl14])).
% 1.39/0.81 thf(zip_derived_cl81, plain,
% 1.39/0.81 ((![X0 : $i]: (q @ X0)) <= ((![X0 : $i]: (q @ X0)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl16])).
% 1.52/0.81 thf(zip_derived_cl165, plain,
% 1.52/0.81 ((![X0 : $i]: (n5 @ X0)) <= ((![X0 : $i]: (q @ X0)))),
% 1.52/0.81 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl81])).
% 1.52/0.81 thf(zip_derived_cl76, plain,
% 1.52/0.81 ((![X0 : $i]: ~ (n5 @ X0)) <= ((![X0 : $i]: ~ (n5 @ X0)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl12])).
% 1.52/0.81 thf('14', plain, (~ (![X0 : $i]: (q @ X0)) | ~ (![X0 : $i]: ~ (n5 @ X0))),
% 1.52/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl76])).
% 1.52/0.81 thf(clause_16, conjecture,
% 1.52/0.81 (~( ( n5 @ X ) | ( q @ ( s5 @ X ) ) | ( q @ X ) ))).
% 1.52/0.81 thf(zf_stmt_16, negated_conjecture,
% 1.52/0.81 (( n5 @ X ) | ( q @ ( s5 @ X ) ) | ( q @ X )),
% 1.52/0.81 inference('cnf.neg', [status(esa)], [clause_16])).
% 1.52/0.81 thf(zip_derived_cl15, plain,
% 1.52/0.81 (![X0 : $i]: ( (n5 @ X0) | (q @ (s5 @ X0)) | (q @ X0))),
% 1.52/0.81 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.52/0.81 thf(clause_18, conjecture,
% 1.52/0.81 (~( ( ~( q @ X5 ) ) | ( q @ X ) | ( ~( n5 @ X ) ) ))).
% 1.52/0.81 thf(zf_stmt_17, negated_conjecture,
% 1.52/0.81 (( ~( q @ X5 ) ) | ( q @ X ) | ( ~( n5 @ X ) )),
% 1.52/0.81 inference('cnf.neg', [status(esa)], [clause_18])).
% 1.52/0.81 thf(zip_derived_cl17, plain,
% 1.52/0.81 (![X0 : $i, X1 : $i]: (~ (q @ X0) | (q @ X1) | ~ (n5 @ X1))),
% 1.52/0.81 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.52/0.81 thf(zip_derived_cl83, plain,
% 1.52/0.81 ((![X0 : $i]: ~ (q @ X0)) <= ((![X0 : $i]: ~ (q @ X0)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl17])).
% 1.52/0.81 thf(zip_derived_cl136, plain,
% 1.52/0.81 ((![X0 : $i]: ( (q @ X0) | (n5 @ X0))) <= ((![X0 : $i]: ~ (q @ X0)))),
% 1.52/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl83])).
% 1.52/0.81 thf(zip_derived_cl83, plain,
% 1.52/0.81 ((![X0 : $i]: ~ (q @ X0)) <= ((![X0 : $i]: ~ (q @ X0)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl17])).
% 1.52/0.81 thf(zip_derived_cl137, plain,
% 1.52/0.81 ((![X0 : $i]: (n5 @ X0)) <= ((![X0 : $i]: ~ (q @ X0)))),
% 1.52/0.81 inference('demod', [status(thm)], [zip_derived_cl136, zip_derived_cl83])).
% 1.52/0.81 thf(zip_derived_cl76, plain,
% 1.52/0.81 ((![X0 : $i]: ~ (n5 @ X0)) <= ((![X0 : $i]: ~ (n5 @ X0)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl12])).
% 1.52/0.81 thf('15', plain, (~ (![X0 : $i]: ~ (q @ X0)) | ~ (![X0 : $i]: ~ (n5 @ X0))),
% 1.52/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl137, zip_derived_cl76])).
% 1.52/0.81 thf(clause_31, conjecture, (~( ( ~( n9 ) ) | ( n4 ) | ( ~( n3 ) ) ))).
% 1.52/0.81 thf(zf_stmt_18, negated_conjecture, (( ~( n9 ) ) | ( n4 ) | ( ~( n3 ) )),
% 1.52/0.81 inference('cnf.neg', [status(esa)], [clause_31])).
% 1.52/0.81 thf(zip_derived_cl30, plain, ((~ (n9) | (n4) | ~ (n3))),
% 1.52/0.81 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.52/0.81 thf('16', plain, (~ ( (n9)) | ~ ( (n3)) | ( (n4))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl30])).
% 1.52/0.81 thf('17', plain,
% 1.52/0.81 ((![X0 : $i]: ~ (p @ X0)) | (![X1 : $i]: ( (p @ X1) | ~ (n1 @ X1)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl27])).
% 1.52/0.81 thf(zip_derived_cl81, plain,
% 1.52/0.81 ((![X0 : $i]: (q @ X0)) <= ((![X0 : $i]: (q @ X0)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl16])).
% 1.52/0.81 thf(zip_derived_cl83, plain,
% 1.52/0.81 ((![X0 : $i]: ~ (q @ X0)) <= ((![X0 : $i]: ~ (q @ X0)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl17])).
% 1.52/0.81 thf('18', plain, (~ (![X0 : $i]: (q @ X0)) | ~ (![X0 : $i]: ~ (q @ X0))),
% 1.52/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl83])).
% 1.52/0.81 thf(clause_29, conjecture, (~( ( n9 ) | ( ~( n4 ) ) | ( ~( n3 ) ) ))).
% 1.52/0.81 thf(zf_stmt_19, negated_conjecture, (( n9 ) | ( ~( n4 ) ) | ( ~( n3 ) )),
% 1.52/0.81 inference('cnf.neg', [status(esa)], [clause_29])).
% 1.52/0.81 thf(zip_derived_cl28, plain, (( (n9) | ~ (n4) | ~ (n3))),
% 1.52/0.81 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.52/0.81 thf('19', plain, (~ ( (n4)) | ~ ( (n3)) | ( (n9))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl28])).
% 1.52/0.81 thf(clause_20, conjecture, (~( ( q @ X4 ) | ( ~( n4 ) ) ))).
% 1.52/0.81 thf(zf_stmt_20, negated_conjecture, (( q @ X4 ) | ( ~( n4 ) )),
% 1.52/0.81 inference('cnf.neg', [status(esa)], [clause_20])).
% 1.52/0.81 thf(zip_derived_cl19, plain, (![X0 : $i]: ( (q @ X0) | ~ (n4))),
% 1.52/0.81 inference('cnf', [status(esa)], [zf_stmt_20])).
% 1.52/0.81 thf('20', plain, (~ ( (n4)) | (![X0 : $i]: (q @ X0))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl19])).
% 1.52/0.81 thf(clause_21, conjecture, (~( ( n3 ) | ( ~( q @ X3 ) ) ))).
% 1.52/0.81 thf(zf_stmt_21, negated_conjecture, (( n3 ) | ( ~( q @ X3 ) )),
% 1.52/0.81 inference('cnf.neg', [status(esa)], [clause_21])).
% 1.52/0.81 thf(zip_derived_cl20, plain, (![X0 : $i]: ( (n3) | ~ (q @ X0))),
% 1.52/0.81 inference('cnf', [status(esa)], [zf_stmt_21])).
% 1.52/0.81 thf('21', plain, (( (n3)) | (![X0 : $i]: ~ (q @ X0))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl20])).
% 1.52/0.81 thf(clause_30, conjecture, (~( ( n9 ) | ( n4 ) | ( n3 ) ))).
% 1.52/0.81 thf(zf_stmt_22, negated_conjecture, (( n9 ) | ( n4 ) | ( n3 )),
% 1.52/0.81 inference('cnf.neg', [status(esa)], [clause_30])).
% 1.52/0.81 thf(zip_derived_cl29, plain, (( (n9) | (n4) | (n3))),
% 1.52/0.81 inference('cnf', [status(esa)], [zf_stmt_22])).
% 1.52/0.81 thf('22', plain, (( (n3)) | ( (n4)) | ( (n9))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl29])).
% 1.52/0.81 thf(clause_22, conjecture, (~( ( q @ s3 ) | ( ~( n3 ) ) ))).
% 1.52/0.81 thf(zf_stmt_23, negated_conjecture, (( q @ s3 ) | ( ~( n3 ) )),
% 1.52/0.81 inference('cnf.neg', [status(esa)], [clause_22])).
% 1.52/0.81 thf(zip_derived_cl21, plain, (( (q @ s3) | ~ (n3))),
% 1.52/0.81 inference('cnf', [status(esa)], [zf_stmt_23])).
% 1.52/0.81 thf('23', plain, (( (q @ s3)) | ~ ( (n3))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl21])).
% 1.52/0.81 thf(zip_derived_cl90, plain, (( (q @ s3)) <= (( (q @ s3)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl21])).
% 1.52/0.81 thf(zip_derived_cl83, plain,
% 1.52/0.81 ((![X0 : $i]: ~ (q @ X0)) <= ((![X0 : $i]: ~ (q @ X0)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl17])).
% 1.52/0.81 thf('24', plain, (~ (![X0 : $i]: ~ (q @ X0)) | ~ ( (q @ s3))),
% 1.52/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl83])).
% 1.52/0.81 thf('25', plain,
% 1.52/0.81 ((![X1 : $i]: ( (q @ X1) | ~ (n5 @ X1))) | (![X0 : $i]: ~ (q @ X0))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl17])).
% 1.52/0.81 thf(zip_derived_cl82, plain,
% 1.52/0.81 ((![X1 : $i]: ( (q @ X1) | ~ (n5 @ X1)))
% 1.52/0.81 <= ((![X1 : $i]: ( (q @ X1) | ~ (n5 @ X1))))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl17])).
% 1.52/0.81 thf(clause_14, conjecture, (~( ( n5 @ s6 ) | ( ~( n6 ) ) ))).
% 1.52/0.81 thf(zf_stmt_24, negated_conjecture, (( n5 @ s6 ) | ( ~( n6 ) )),
% 1.52/0.81 inference('cnf.neg', [status(esa)], [clause_14])).
% 1.52/0.81 thf(zip_derived_cl13, plain, (( (n5 @ s6) | ~ (n6))),
% 1.52/0.81 inference('cnf', [status(esa)], [zf_stmt_24])).
% 1.52/0.81 thf(zip_derived_cl78, plain, (( (n5 @ s6)) <= (( (n5 @ s6)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl13])).
% 1.52/0.81 thf(zip_derived_cl168, plain,
% 1.52/0.81 (( (q @ s6)) <= (( (n5 @ s6)) & (![X1 : $i]: ( (q @ X1) | ~ (n5 @ X1))))),
% 1.52/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl78])).
% 1.52/0.81 thf(zip_derived_cl78, plain, (( (n5 @ s6)) <= (( (n5 @ s6)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl13])).
% 1.52/0.81 thf(zip_derived_cl80, plain,
% 1.52/0.81 ((![X1 : $i]: (~ (q @ X1) | ~ (n5 @ X1)))
% 1.52/0.81 <= ((![X1 : $i]: (~ (q @ X1) | ~ (n5 @ X1))))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl16])).
% 1.52/0.81 thf(zip_derived_cl155, plain,
% 1.52/0.81 ((~ (q @ s6))
% 1.52/0.81 <= (( (n5 @ s6)) & (![X1 : $i]: (~ (q @ X1) | ~ (n5 @ X1))))),
% 1.52/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl80])).
% 1.52/0.81 thf('26', plain,
% 1.52/0.81 (~ ( (n5 @ s6)) | ~ (![X1 : $i]: ( (q @ X1) | ~ (n5 @ X1))) |
% 1.52/0.81 ~ (![X1 : $i]: (~ (q @ X1) | ~ (n5 @ X1)))),
% 1.52/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl155])).
% 1.52/0.81 thf('27', plain, (~ ( (n6)) | ( (n5 @ s6))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl13])).
% 1.52/0.81 thf(clause_35, conjecture, (~( ( ~( n10 ) ) | ( n8 ) | ( ~( n7 ) ) ))).
% 1.52/0.81 thf(zf_stmt_25, negated_conjecture, (( ~( n10 ) ) | ( n8 ) | ( ~( n7 ) )),
% 1.52/0.81 inference('cnf.neg', [status(esa)], [clause_35])).
% 1.52/0.81 thf(zip_derived_cl34, plain, ((~ (n10) | (n8) | ~ (n7))),
% 1.52/0.81 inference('cnf', [status(esa)], [zf_stmt_25])).
% 1.52/0.81 thf('28', plain, (~ ( (n10)) | ~ ( (n7)) | ( (n8))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl34])).
% 1.52/0.81 thf(clause_9, conjecture, (~( ( n8 ) | ( ~( p @ s8 ) ) ))).
% 1.52/0.81 thf(zf_stmt_26, negated_conjecture, (( n8 ) | ( ~( p @ s8 ) )),
% 1.52/0.81 inference('cnf.neg', [status(esa)], [clause_9])).
% 1.52/0.81 thf(zip_derived_cl8, plain, (( (n8) | ~ (p @ s8))),
% 1.52/0.81 inference('cnf', [status(esa)], [zf_stmt_26])).
% 1.52/0.81 thf('29', plain, (~ ( (p @ s8)) | ( (n8))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl8])).
% 1.52/0.81 thf('30', plain, (( (n7)) | (![X0 : $i]: ~ (p @ X0))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl10])).
% 1.52/0.81 thf(zip_derived_cl70, plain,
% 1.52/0.81 ((![X0 : $i]: (p @ X0)) <= ((![X0 : $i]: (p @ X0)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl9])).
% 1.52/0.81 thf(zip_derived_cl68, plain, ((~ (p @ s8)) <= (~ ( (p @ s8)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl8])).
% 1.52/0.81 thf('31', plain, (~ (![X0 : $i]: (p @ X0)) | ( (p @ s8))),
% 1.52/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl68])).
% 1.52/0.81 thf(zip_derived_cl70, plain,
% 1.52/0.81 ((![X0 : $i]: (p @ X0)) <= ((![X0 : $i]: (p @ X0)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl9])).
% 1.52/0.81 thf(zip_derived_cl72, plain,
% 1.52/0.81 ((![X0 : $i]: ~ (p @ X0)) <= ((![X0 : $i]: ~ (p @ X0)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl10])).
% 1.52/0.81 thf('32', plain, (~ (![X0 : $i]: (p @ X0)) | ~ (![X0 : $i]: ~ (p @ X0))),
% 1.52/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl72])).
% 1.52/0.81 thf(clause_33, conjecture, (~( ( n10 ) | ( ~( n8 ) ) | ( ~( n7 ) ) ))).
% 1.52/0.81 thf(zf_stmt_27, negated_conjecture, (( n10 ) | ( ~( n8 ) ) | ( ~( n7 ) )),
% 1.52/0.81 inference('cnf.neg', [status(esa)], [clause_33])).
% 1.52/0.81 thf(zip_derived_cl32, plain, (( (n10) | ~ (n8) | ~ (n7))),
% 1.52/0.81 inference('cnf', [status(esa)], [zf_stmt_27])).
% 1.52/0.81 thf('33', plain, (~ ( (n8)) | ~ ( (n7)) | ( (n10))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl32])).
% 1.52/0.81 thf('34', plain, (~ ( (n8)) | (![X0 : $i]: (p @ X0))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl9])).
% 1.52/0.81 thf(clause_34, conjecture, (~( ( n10 ) | ( n8 ) | ( n7 ) ))).
% 1.52/0.81 thf(zf_stmt_28, negated_conjecture, (( n10 ) | ( n8 ) | ( n7 )),
% 1.52/0.81 inference('cnf.neg', [status(esa)], [clause_34])).
% 1.52/0.81 thf(zip_derived_cl33, plain, (( (n10) | (n8) | (n7))),
% 1.52/0.81 inference('cnf', [status(esa)], [zf_stmt_28])).
% 1.52/0.81 thf('35', plain, (( (n7)) | ( (n8)) | ( (n10))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl33])).
% 1.52/0.81 thf(clause_12, conjecture, (~( ( p @ s7 ) | ( ~( n7 ) ) ))).
% 1.52/0.81 thf(zf_stmt_29, negated_conjecture, (( p @ s7 ) | ( ~( n7 ) )),
% 1.52/0.81 inference('cnf.neg', [status(esa)], [clause_12])).
% 1.52/0.81 thf(zip_derived_cl11, plain, (( (p @ s7) | ~ (n7))),
% 1.52/0.81 inference('cnf', [status(esa)], [zf_stmt_29])).
% 1.52/0.81 thf('36', plain, (( (p @ s7)) | ~ ( (n7))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl11])).
% 1.52/0.81 thf(zip_derived_cl74, plain, (( (p @ s7)) <= (( (p @ s7)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl11])).
% 1.52/0.81 thf(zip_derived_cl72, plain,
% 1.52/0.81 ((![X0 : $i]: ~ (p @ X0)) <= ((![X0 : $i]: ~ (p @ X0)))),
% 1.52/0.81 inference('split', [status(esa)], [zip_derived_cl10])).
% 1.52/0.81 thf('37', plain, (~ ( (p @ s7)) | ~ (![X0 : $i]: ~ (p @ X0))),
% 1.52/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl72])).
% 1.52/0.81 thf(zip_derived_cl198, plain, ($false),
% 1.52/0.81 inference('sat_resolution*', [status(thm)],
% 1.52/0.81 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 1.52/0.81 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 1.52/0.81 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 1.52/0.81 '32', '33', '34', '35', '36', '37'])).
% 1.52/0.81
% 1.52/0.81 % SZS output end Refutation
% 1.52/0.81
% 1.52/0.81
% 1.52/0.81 % Terminating...
% 1.54/0.86 % Runner terminated.
% 1.54/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------