TSTP Solution File: SYN600-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN600-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.H3rkGsbc2h true
% Computer : n012.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 04:04:46 EDT 2023
% Result : Unsatisfiable 67.15s 10.38s
% Output : Refutation 67.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN600-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.H3rkGsbc2h true
% 0.14/0.35 % Computer : n012.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 17:59:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/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
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 67.15/10.38 % Solved by fo/fo6_bce.sh.
% 67.15/10.38 % BCE start: 29
% 67.15/10.38 % BCE eliminated: 0
% 67.15/10.38 % PE start: 29
% 67.15/10.38 logic: neq
% 67.15/10.38 % PE eliminated: 0
% 67.15/10.38 % done 1908 iterations in 9.681s
% 67.15/10.38 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 67.15/10.38 % SZS output start Refutation
% 67.15/10.38 thf(f8_type, type, f8: $i > $i > $i).
% 67.15/10.38 thf(f11_type, type, f11: $i > $i).
% 67.15/10.38 thf(c21_type, type, c21: $i).
% 67.15/10.38 thf(f12_type, type, f12: $i > $i).
% 67.15/10.38 thf(f9_type, type, f9: $i > $i > $i).
% 67.15/10.38 thf(p7_type, type, p7: $i > $i > $o).
% 67.15/10.38 thf(f15_type, type, f15: $i > $i).
% 67.15/10.38 thf(f13_type, type, f13: $i > $i).
% 67.15/10.38 thf(f16_type, type, f16: $i > $i).
% 67.15/10.38 thf(p19_type, type, p19: $i > $o).
% 67.15/10.38 thf(c22_type, type, c22: $i).
% 67.15/10.38 thf(f4_type, type, f4: $i > $i).
% 67.15/10.38 thf(f14_type, type, f14: $i > $i).
% 67.15/10.38 thf(p3_type, type, p3: $i > $i > $o).
% 67.15/10.38 thf(p17_type, type, p17: $i > $i > $o).
% 67.15/10.38 thf(p18_type, type, p18: $i > $i > $o).
% 67.15/10.38 thf(f10_type, type, f10: $i > $i > $i).
% 67.15/10.38 thf(f6_type, type, f6: $i > $i).
% 67.15/10.38 thf(c20_type, type, c20: $i).
% 67.15/10.38 thf(not_p3_8, conjecture,
% 67.15/10.38 (p3 @ ( f4 @ ( f6 @ c21 ) ) @ ( f4 @ ( f6 @ c22 ) ))).
% 67.15/10.38 thf(zf_stmt_0, negated_conjecture,
% 67.15/10.38 (~( p3 @ ( f4 @ ( f6 @ c21 ) ) @ ( f4 @ ( f6 @ c22 ) ) )),
% 67.15/10.38 inference('cnf.neg', [status(esa)], [not_p3_8])).
% 67.15/10.38 thf(zip_derived_cl7, plain, (~ (p3 @ (f4 @ (f6 @ c21)) @ (f4 @ (f6 @ c22)))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_0])).
% 67.15/10.38 thf(p17_28, conjecture,
% 67.15/10.38 (~( ( ~( p19 @ X4 ) ) |
% 67.15/10.38 ( p17 @
% 67.15/10.38 ( f15 @ ( f16 @ X4 ) ) @
% 67.15/10.38 ( f8 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @
% 67.15/10.38 ( f9 @
% 67.15/10.38 ( f10 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @
% 67.15/10.38 ( f4 @ ( f6 @ X4 ) ) ) @
% 67.15/10.38 ( f10 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @
% 67.15/10.38 ( f11 @
% 67.15/10.38 ( f12 @
% 67.15/10.38 ( f12 @
% 67.15/10.38 ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ c20 ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 67.15/10.38 thf(zf_stmt_1, negated_conjecture,
% 67.15/10.38 (( ~( p19 @ X4 ) ) |
% 67.15/10.38 ( p17 @
% 67.15/10.38 ( f15 @ ( f16 @ X4 ) ) @
% 67.15/10.38 ( f8 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @
% 67.15/10.38 ( f9 @
% 67.15/10.38 ( f10 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @ ( f4 @ ( f6 @ X4 ) ) ) @
% 67.15/10.38 ( f10 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @
% 67.15/10.38 ( f11 @
% 67.15/10.38 ( f12 @
% 67.15/10.38 ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ c20 ) ) ) ) ) ) ) ) ) ) ) )),
% 67.15/10.38 inference('cnf.neg', [status(esa)], [p17_28])).
% 67.15/10.38 thf(zip_derived_cl27, plain,
% 67.15/10.38 (![X0 : $i]:
% 67.15/10.38 (~ (p19 @ X0)
% 67.15/10.38 | (p17 @ (f15 @ (f16 @ X0)) @
% 67.15/10.38 (f8 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f9 @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @ (f4 @ (f6 @ X0))) @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f11 @
% 67.15/10.38 (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ c20)))))))))))))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_1])).
% 67.15/10.38 thf(p7_4, conjecture, (~( p7 @ X32 @ X32 ))).
% 67.15/10.38 thf(zf_stmt_2, negated_conjecture, (p7 @ X32 @ X32),
% 67.15/10.38 inference('cnf.neg', [status(esa)], [p7_4])).
% 67.15/10.38 thf(zip_derived_cl3, plain, (![X0 : $i]: (p7 @ X0 @ X0)),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_2])).
% 67.15/10.38 thf(zip_derived_cl3, plain, (![X0 : $i]: (p7 @ X0 @ X0)),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_2])).
% 67.15/10.38 thf(p7_7, conjecture, (~( p7 @ ( f16 @ c21 ) @ ( f16 @ c22 ) ))).
% 67.15/10.38 thf(zf_stmt_3, negated_conjecture, (p7 @ ( f16 @ c21 ) @ ( f16 @ c22 )),
% 67.15/10.38 inference('cnf.neg', [status(esa)], [p7_7])).
% 67.15/10.38 thf(zip_derived_cl6, plain, ( (p7 @ (f16 @ c21) @ (f16 @ c22))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_3])).
% 67.15/10.38 thf(p7_17, conjecture,
% 67.15/10.38 (~( ( ~( p7 @ X41 @ X42 ) ) | ( p7 @ ( f15 @ X41 ) @ ( f15 @ X42 ) ) ))).
% 67.15/10.38 thf(zf_stmt_4, negated_conjecture,
% 67.15/10.38 (( ~( p7 @ X41 @ X42 ) ) | ( p7 @ ( f15 @ X41 ) @ ( f15 @ X42 ) )),
% 67.15/10.38 inference('cnf.neg', [status(esa)], [p7_17])).
% 67.15/10.38 thf(zip_derived_cl16, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i]:
% 67.15/10.38 (~ (p7 @ X0 @ X1) | (p7 @ (f15 @ X0) @ (f15 @ X1)))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_4])).
% 67.15/10.38 thf(zip_derived_cl16, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i]:
% 67.15/10.38 (~ (p7 @ X0 @ X1) | (p7 @ (f15 @ X0) @ (f15 @ X1)))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_4])).
% 67.15/10.38 thf(p7_19, conjecture,
% 67.15/10.38 (~( ( ~( p7 @ X32 @ X34 ) ) | ( ~( p7 @ X32 @ X33 ) ) | ( p7 @ X33 @ X34 ) ))).
% 67.15/10.38 thf(zf_stmt_5, negated_conjecture,
% 67.15/10.38 (( ~( p7 @ X32 @ X34 ) ) | ( ~( p7 @ X32 @ X33 ) ) | ( p7 @ X33 @ X34 )),
% 67.15/10.38 inference('cnf.neg', [status(esa)], [p7_19])).
% 67.15/10.38 thf(zip_derived_cl18, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.15/10.38 (~ (p7 @ X0 @ X1) | ~ (p7 @ X0 @ X2) | (p7 @ X2 @ X1))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_5])).
% 67.15/10.38 thf(zip_derived_cl47, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.15/10.38 (~ (p7 @ X1 @ X0) | ~ (p7 @ (f15 @ X1) @ X2) | (p7 @ X2 @ (f15 @ X0)))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl18])).
% 67.15/10.38 thf(zip_derived_cl265, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.15/10.38 (~ (p7 @ X1 @ X0) | ~ (p7 @ X1 @ X2) | (p7 @ (f15 @ X0) @ (f15 @ X2)))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl47])).
% 67.15/10.38 thf(zip_derived_cl466, plain,
% 67.15/10.38 (![X0 : $i]:
% 67.15/10.38 (~ (p7 @ (f16 @ c21) @ X0) | (p7 @ (f15 @ (f16 @ c22)) @ (f15 @ X0)))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl265])).
% 67.15/10.38 thf(zip_derived_cl3, plain, (![X0 : $i]: (p7 @ X0 @ X0)),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_2])).
% 67.15/10.38 thf(zip_derived_cl18, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.15/10.38 (~ (p7 @ X0 @ X1) | ~ (p7 @ X0 @ X2) | (p7 @ X2 @ X1))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_5])).
% 67.15/10.38 thf(zip_derived_cl43, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i]: (~ (p7 @ X0 @ X1) | (p7 @ X1 @ X0))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl18])).
% 67.15/10.38 thf(zip_derived_cl484, plain,
% 67.15/10.38 (![X0 : $i]:
% 67.15/10.38 (~ (p7 @ (f16 @ c21) @ X0) | (p7 @ (f15 @ X0) @ (f15 @ (f16 @ c22))))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl466, zip_derived_cl43])).
% 67.15/10.38 thf(zip_derived_cl18, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.15/10.38 (~ (p7 @ X0 @ X1) | ~ (p7 @ X0 @ X2) | (p7 @ X2 @ X1))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_5])).
% 67.15/10.38 thf(zip_derived_cl504, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i]:
% 67.15/10.38 (~ (p7 @ (f16 @ c21) @ X0)
% 67.15/10.38 | ~ (p7 @ (f15 @ X0) @ X1)
% 67.15/10.38 | (p7 @ X1 @ (f15 @ (f16 @ c22))))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl484, zip_derived_cl18])).
% 67.15/10.38 thf(zip_derived_cl812, plain,
% 67.15/10.38 (![X0 : $i]:
% 67.15/10.38 (~ (p7 @ (f15 @ (f16 @ c21)) @ X0) | (p7 @ X0 @ (f15 @ (f16 @ c22))))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl504])).
% 67.15/10.38 thf(zip_derived_cl837, plain,
% 67.15/10.38 ( (p7 @ (f15 @ (f16 @ c21)) @ (f15 @ (f16 @ c22)))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl812])).
% 67.15/10.38 thf(zip_derived_cl3, plain, (![X0 : $i]: (p7 @ X0 @ X0)),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_2])).
% 67.15/10.38 thf(p17_22, conjecture,
% 67.15/10.38 (~( ( ~( p17 @ X2 @ X3 ) ) | ( ~( p7 @ X3 @ X1 ) ) |
% 67.15/10.38 ( ~( p7 @ X2 @ X0 ) ) | ( p17 @ X0 @ X1 ) ))).
% 67.15/10.38 thf(zf_stmt_6, negated_conjecture,
% 67.15/10.38 (( ~( p17 @ X2 @ X3 ) ) | ( ~( p7 @ X3 @ X1 ) ) | ( ~( p7 @ X2 @ X0 ) ) |
% 67.15/10.38 ( p17 @ X0 @ X1 )),
% 67.15/10.38 inference('cnf.neg', [status(esa)], [p17_22])).
% 67.15/10.38 thf(zip_derived_cl21, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.15/10.38 (~ (p17 @ X0 @ X1)
% 67.15/10.38 | ~ (p7 @ X1 @ X2)
% 67.15/10.38 | ~ (p7 @ X0 @ X3)
% 67.15/10.38 | (p17 @ X3 @ X2))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_6])).
% 67.15/10.38 thf(zip_derived_cl78, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.15/10.38 (~ (p17 @ X1 @ X0) | ~ (p7 @ X1 @ X2) | (p17 @ X2 @ X0))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl21])).
% 67.15/10.38 thf(zip_derived_cl851, plain,
% 67.15/10.38 (![X0 : $i]:
% 67.15/10.38 (~ (p17 @ (f15 @ (f16 @ c21)) @ X0)
% 67.15/10.38 | (p17 @ (f15 @ (f16 @ c22)) @ X0))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl837, zip_derived_cl78])).
% 67.15/10.38 thf(zip_derived_cl3, plain, (![X0 : $i]: (p7 @ X0 @ X0)),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_2])).
% 67.15/10.38 thf(zip_derived_cl6, plain, ( (p7 @ (f16 @ c21) @ (f16 @ c22))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_3])).
% 67.15/10.38 thf(p18_27, conjecture,
% 67.15/10.38 (~( ( ~( p19 @ X4 ) ) |
% 67.15/10.38 ( p18 @
% 67.15/10.38 ( f9 @
% 67.15/10.38 ( f10 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @
% 67.15/10.38 ( f4 @ ( f6 @ X4 ) ) ) @
% 67.15/10.38 ( f10 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @
% 67.15/10.38 ( f11 @
% 67.15/10.38 ( f12 @
% 67.15/10.38 ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ c20 ) ) ) ) ) ) ) ) ) ) @
% 67.15/10.38 ( f15 @ ( f16 @ X4 ) ) ) ))).
% 67.15/10.38 thf(zf_stmt_7, negated_conjecture,
% 67.15/10.38 (( ~( p19 @ X4 ) ) |
% 67.15/10.38 ( p18 @
% 67.15/10.38 ( f9 @
% 67.15/10.38 ( f10 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @ ( f4 @ ( f6 @ X4 ) ) ) @
% 67.15/10.38 ( f10 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @
% 67.15/10.38 ( f11 @
% 67.15/10.38 ( f12 @
% 67.15/10.38 ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ c20 ) ) ) ) ) ) ) ) ) ) @
% 67.15/10.38 ( f15 @ ( f16 @ X4 ) ) )),
% 67.15/10.38 inference('cnf.neg', [status(esa)], [p18_27])).
% 67.15/10.38 thf(zip_derived_cl26, plain,
% 67.15/10.38 (![X0 : $i]:
% 67.15/10.38 (~ (p19 @ X0)
% 67.15/10.38 | (p18 @
% 67.15/10.38 (f9 @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @ (f4 @ (f6 @ X0))) @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f11 @
% 67.15/10.38 (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ c20)))))))))) @
% 67.15/10.38 (f15 @ (f16 @ X0))))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_7])).
% 67.15/10.38 thf(zip_derived_cl16, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i]:
% 67.15/10.38 (~ (p7 @ X0 @ X1) | (p7 @ (f15 @ X0) @ (f15 @ X1)))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_4])).
% 67.15/10.38 thf(p18_23, conjecture,
% 67.15/10.38 (~( ( ~( p18 @ X7 @ X8 ) ) | ( ~( p7 @ X8 @ X6 ) ) |
% 67.15/10.38 ( ~( p7 @ X7 @ X5 ) ) | ( p18 @ X5 @ X6 ) ))).
% 67.15/10.38 thf(zf_stmt_8, negated_conjecture,
% 67.15/10.38 (( ~( p18 @ X7 @ X8 ) ) | ( ~( p7 @ X8 @ X6 ) ) | ( ~( p7 @ X7 @ X5 ) ) |
% 67.15/10.38 ( p18 @ X5 @ X6 )),
% 67.15/10.38 inference('cnf.neg', [status(esa)], [p18_23])).
% 67.15/10.38 thf(zip_derived_cl22, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.15/10.38 (~ (p18 @ X0 @ X1)
% 67.15/10.38 | ~ (p7 @ X1 @ X2)
% 67.15/10.38 | ~ (p7 @ X0 @ X3)
% 67.15/10.38 | (p18 @ X3 @ X2))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_8])).
% 67.15/10.38 thf(zip_derived_cl97, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.15/10.38 (~ (p7 @ X1 @ X0)
% 67.15/10.38 | ~ (p18 @ X2 @ (f15 @ X1))
% 67.15/10.38 | ~ (p7 @ X2 @ X3)
% 67.15/10.38 | (p18 @ X3 @ (f15 @ X0)))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl22])).
% 67.15/10.38 thf(zip_derived_cl374, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.15/10.38 (~ (p19 @ X0)
% 67.15/10.38 | ~ (p7 @ (f16 @ X0) @ X1)
% 67.15/10.38 | ~ (p7 @
% 67.15/10.38 (f9 @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @ (f4 @ (f6 @ X0))) @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f11 @
% 67.15/10.38 (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ c20)))))))))) @
% 67.15/10.38 X2)
% 67.15/10.38 | (p18 @ X2 @ (f15 @ X1)))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl97])).
% 67.15/10.38 thf(zip_derived_cl1797, plain,
% 67.15/10.38 (![X0 : $i]:
% 67.15/10.38 (~ (p19 @ c21)
% 67.15/10.38 | ~ (p7 @
% 67.15/10.38 (f9 @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @ (f4 @ (f6 @ c21))) @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f11 @
% 67.15/10.38 (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ c20)))))))))) @
% 67.15/10.38 X0)
% 67.15/10.38 | (p18 @ X0 @ (f15 @ (f16 @ c22))))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl374])).
% 67.15/10.38 thf(c21_is_p19_1, conjecture, (~( p19 @ c21 ))).
% 67.15/10.38 thf(zf_stmt_9, negated_conjecture, (p19 @ c21),
% 67.15/10.38 inference('cnf.neg', [status(esa)], [c21_is_p19_1])).
% 67.15/10.38 thf(zip_derived_cl0, plain, ( (p19 @ c21)),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_9])).
% 67.15/10.38 thf(zip_derived_cl1803, plain,
% 67.15/10.38 (![X0 : $i]:
% 67.15/10.38 (~ (p7 @
% 67.15/10.38 (f9 @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @ (f4 @ (f6 @ c21))) @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f11 @
% 67.15/10.38 (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ c20)))))))))) @
% 67.15/10.38 X0)
% 67.15/10.38 | (p18 @ X0 @ (f15 @ (f16 @ c22))))),
% 67.15/10.38 inference('demod', [status(thm)], [zip_derived_cl1797, zip_derived_cl0])).
% 67.15/10.38 thf(zip_derived_cl22782, plain,
% 67.15/10.38 ( (p18 @
% 67.15/10.38 (f9 @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @ (f4 @ (f6 @ c21))) @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f11 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ c20)))))))))) @
% 67.15/10.38 (f15 @ (f16 @ c22)))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1803])).
% 67.15/10.38 thf(p3_29, conjecture,
% 67.15/10.38 (~( ( ~( p17 @
% 67.15/10.38 ( f15 @ ( f16 @ X27 ) ) @
% 67.15/10.38 ( f8 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @
% 67.15/10.38 ( f9 @
% 67.15/10.38 ( f10 @ ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @ X28 ) @
% 67.15/10.38 ( f10 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @
% 67.15/10.38 ( f11 @
% 67.15/10.38 ( f12 @
% 67.15/10.38 ( f12 @
% 67.15/10.38 ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ c20 ) ) ) ) ) ) ) ) ) ) ) ) ) |
% 67.15/10.38 ( ~( p18 @
% 67.15/10.38 ( f9 @
% 67.15/10.38 ( f10 @ ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @ X28 ) @
% 67.15/10.38 ( f10 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @
% 67.15/10.38 ( f11 @
% 67.15/10.38 ( f12 @
% 67.15/10.38 ( f12 @
% 67.15/10.38 ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ c20 ) ) ) ) ) ) ) ) ) ) @
% 67.15/10.38 ( f15 @ ( f16 @ X27 ) ) ) ) |
% 67.15/10.38 ( ~( p19 @ X27 ) ) | ( p3 @ ( f4 @ ( f6 @ X27 ) ) @ X28 ) ))).
% 67.15/10.38 thf(zf_stmt_10, negated_conjecture,
% 67.15/10.38 (( ~( p17 @
% 67.15/10.38 ( f15 @ ( f16 @ X27 ) ) @
% 67.15/10.38 ( f8 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @
% 67.15/10.38 ( f9 @
% 67.15/10.38 ( f10 @ ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @ X28 ) @
% 67.15/10.38 ( f10 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @
% 67.15/10.38 ( f11 @
% 67.15/10.38 ( f12 @
% 67.15/10.38 ( f12 @
% 67.15/10.38 ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ c20 ) ) ) ) ) ) ) ) ) ) ) ) ) |
% 67.15/10.38 ( ~( p18 @
% 67.15/10.38 ( f9 @
% 67.15/10.38 ( f10 @ ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @ X28 ) @
% 67.15/10.38 ( f10 @
% 67.15/10.38 ( f13 @ ( f11 @ ( f14 @ ( f12 @ c20 ) ) ) ) @
% 67.15/10.38 ( f11 @
% 67.15/10.38 ( f12 @
% 67.15/10.38 ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ ( f12 @ c20 ) ) ) ) ) ) ) ) ) ) @
% 67.15/10.38 ( f15 @ ( f16 @ X27 ) ) ) ) |
% 67.15/10.38 ( ~( p19 @ X27 ) ) | ( p3 @ ( f4 @ ( f6 @ X27 ) ) @ X28 )),
% 67.15/10.38 inference('cnf.neg', [status(esa)], [p3_29])).
% 67.15/10.38 thf(zip_derived_cl28, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i]:
% 67.15/10.38 (~ (p17 @ (f15 @ (f16 @ X0)) @
% 67.15/10.38 (f8 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f9 @ (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @ X1) @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f11 @
% 67.15/10.38 (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ c20))))))))))))
% 67.15/10.38 | ~ (p18 @
% 67.15/10.38 (f9 @ (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @ X1) @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f11 @
% 67.15/10.38 (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ c20)))))))))) @
% 67.15/10.38 (f15 @ (f16 @ X0)))
% 67.15/10.38 | ~ (p19 @ X0)
% 67.15/10.38 | (p3 @ (f4 @ (f6 @ X0)) @ X1))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_10])).
% 67.15/10.38 thf(zip_derived_cl22811, plain,
% 67.15/10.38 ((~ (p17 @ (f15 @ (f16 @ c22)) @
% 67.15/10.38 (f8 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f9 @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @ (f4 @ (f6 @ c21))) @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f11 @
% 67.15/10.38 (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ c20))))))))))))
% 67.15/10.38 | ~ (p19 @ c22)
% 67.15/10.38 | (p3 @ (f4 @ (f6 @ c22)) @ (f4 @ (f6 @ c21))))),
% 67.15/10.38 inference('s_sup-', [status(thm)],
% 67.15/10.38 [zip_derived_cl22782, zip_derived_cl28])).
% 67.15/10.38 thf(c22_is_p19_2, conjecture, (~( p19 @ c22 ))).
% 67.15/10.38 thf(zf_stmt_11, negated_conjecture, (p19 @ c22),
% 67.15/10.38 inference('cnf.neg', [status(esa)], [c22_is_p19_2])).
% 67.15/10.38 thf(zip_derived_cl1, plain, ( (p19 @ c22)),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_11])).
% 67.15/10.38 thf(zip_derived_cl22812, plain,
% 67.15/10.38 ((~ (p17 @ (f15 @ (f16 @ c22)) @
% 67.15/10.38 (f8 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f9 @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @ (f4 @ (f6 @ c21))) @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f11 @
% 67.15/10.38 (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ c20))))))))))))
% 67.15/10.38 | (p3 @ (f4 @ (f6 @ c22)) @ (f4 @ (f6 @ c21))))),
% 67.15/10.38 inference('demod', [status(thm)], [zip_derived_cl22811, zip_derived_cl1])).
% 67.15/10.38 thf(zip_derived_cl22813, plain,
% 67.15/10.38 ((~ (p17 @ (f15 @ (f16 @ c21)) @
% 67.15/10.38 (f8 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f9 @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @ (f4 @ (f6 @ c21))) @
% 67.15/10.38 (f10 @ (f13 @ (f11 @ (f14 @ (f12 @ c20)))) @
% 67.15/10.38 (f11 @
% 67.15/10.38 (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ (f12 @ c20))))))))))))
% 67.15/10.38 | (p3 @ (f4 @ (f6 @ c22)) @ (f4 @ (f6 @ c21))))),
% 67.15/10.38 inference('s_sup-', [status(thm)],
% 67.15/10.38 [zip_derived_cl851, zip_derived_cl22812])).
% 67.15/10.38 thf(zip_derived_cl22814, plain,
% 67.15/10.38 ((~ (p19 @ c21) | (p3 @ (f4 @ (f6 @ c22)) @ (f4 @ (f6 @ c21))))),
% 67.15/10.38 inference('s_sup-', [status(thm)],
% 67.15/10.38 [zip_derived_cl27, zip_derived_cl22813])).
% 67.15/10.38 thf(zip_derived_cl0, plain, ( (p19 @ c21)),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_9])).
% 67.15/10.38 thf(zip_derived_cl22815, plain,
% 67.15/10.38 ( (p3 @ (f4 @ (f6 @ c22)) @ (f4 @ (f6 @ c21)))),
% 67.15/10.38 inference('demod', [status(thm)], [zip_derived_cl22814, zip_derived_cl0])).
% 67.15/10.38 thf(p3_6, conjecture, (~( p3 @ X16 @ X16 ))).
% 67.15/10.38 thf(zf_stmt_12, negated_conjecture, (p3 @ X16 @ X16),
% 67.15/10.38 inference('cnf.neg', [status(esa)], [p3_6])).
% 67.15/10.38 thf(zip_derived_cl5, plain, (![X0 : $i]: (p3 @ X0 @ X0)),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_12])).
% 67.15/10.38 thf(p3_21, conjecture,
% 67.15/10.38 (~( ( ~( p3 @ X16 @ X18 ) ) | ( ~( p3 @ X16 @ X17 ) ) | ( p3 @ X17 @ X18 ) ))).
% 67.15/10.38 thf(zf_stmt_13, negated_conjecture,
% 67.15/10.38 (( ~( p3 @ X16 @ X18 ) ) | ( ~( p3 @ X16 @ X17 ) ) | ( p3 @ X17 @ X18 )),
% 67.15/10.38 inference('cnf.neg', [status(esa)], [p3_21])).
% 67.15/10.38 thf(zip_derived_cl20, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.15/10.38 (~ (p3 @ X0 @ X1) | ~ (p3 @ X0 @ X2) | (p3 @ X2 @ X1))),
% 67.15/10.38 inference('cnf', [status(esa)], [zf_stmt_13])).
% 67.15/10.38 thf(zip_derived_cl65, plain,
% 67.15/10.38 (![X0 : $i, X1 : $i]: (~ (p3 @ X0 @ X1) | (p3 @ X1 @ X0))),
% 67.15/10.38 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl20])).
% 67.15/10.38 thf(zip_derived_cl22817, plain,
% 67.15/10.38 ( (p3 @ (f4 @ (f6 @ c21)) @ (f4 @ (f6 @ c22)))),
% 67.15/10.38 inference('s_sup-', [status(thm)],
% 67.15/10.38 [zip_derived_cl22815, zip_derived_cl65])).
% 67.15/10.38 thf(zip_derived_cl22853, plain, ($false),
% 67.15/10.38 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl22817])).
% 67.15/10.38
% 67.15/10.38 % SZS output end Refutation
% 67.15/10.38
% 67.15/10.38
% 67.15/10.38 % Terminating...
% 68.31/10.47 % Runner terminated.
% 68.31/10.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------