%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN718-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n017.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 : Tue May 5 05:39:58 PM UTC 2026
% Result : Unsatisfiable 4.00s 3.02s
% Output : CNFRefutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 33 ( 16 unt; 0 nHn; 27 RR)
% Number of literals : 65 ( 0 equ; 35 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p57_76,negated_conjecture,
( p57(X1,X2)
| ~ p25(X3,X1)
| ~ p57(X3,X4)
| ~ p21(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_76) ).
cnf(p57_72,negated_conjecture,
( p57(f26(f30(c85,X1),X2),X3)
| ~ p57(f26(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_72) ).
cnf(p25_23,negated_conjecture,
p25(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_23) ).
cnf(p57_107,negated_conjecture,
( p57(f26(f30(c85,X1),X2),X3)
| ~ p57(f26(f30(c85,X1),X2),X4)
| ~ p57(f26(f30(c85,X1),X4),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_107) ).
cnf(p57_81,negated_conjecture,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_81) ).
cnf(p57_80,negated_conjecture,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_80) ).
cnf(p21_25,negated_conjecture,
p21(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_25) ).
cnf(not_p57_105,negated_conjecture,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p57_105) ).
cnf(p21_101,negated_conjecture,
( p21(f22(X1,X2),f22(X3,X4))
| ~ p20(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_101) ).
cnf(p20_26,negated_conjecture,
p20(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_26) ).
cnf(p3_36,negated_conjecture,
p3(c84,f10(c72,c73)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_36) ).
cnf(c_0_11,negated_conjecture,
( p57(X1,X2)
| ~ p25(X3,X1)
| ~ p57(X3,X4)
| ~ p21(X4,X2) ),
p57_76 ).
cnf(c_0_12,negated_conjecture,
( p57(f26(f30(c85,X1),X2),X3)
| ~ p57(f26(X1,X2),X3) ),
p57_72 ).
cnf(c_0_13,negated_conjecture,
( p57(X1,X2)
| ~ p57(f26(X3,X4),X5)
| ~ p21(X5,X2)
| ~ p25(f26(f30(c85,X3),X4),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p25(X1,X1),
p25_23 ).
cnf(c_0_15,negated_conjecture,
( p57(f26(f30(c85,X1),X2),X3)
| ~ p57(f26(f30(c85,X1),X2),X4)
| ~ p57(f26(f30(c85,X1),X4),X3) ),
p57_107 ).
cnf(c_0_16,negated_conjecture,
( p57(f26(f30(c85,X1),X2),X3)
| ~ p57(f26(X1,X2),X4)
| ~ p21(X4,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
p57_81 ).
cnf(c_0_18,negated_conjecture,
( p57(f26(f30(c85,X1),X2),X3)
| ~ p57(f26(f30(c85,X1),X2),X4)
| ~ p57(f26(X1,X4),X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),X1)
| ~ p21(f22(f24(c71,c81),c82),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
p57_80 ).
cnf(c_0_21,negated_conjecture,
( p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),X1)
| ~ p57(f26(c70,X2),X1)
| ~ p21(f22(f24(c71,c81),c82),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
p21(X1,X1),
p21_25 ).
cnf(c_0_23,negated_conjecture,
( p57(X1,X2)
| ~ p21(f22(f24(c71,c83),c84),X2)
| ~ p25(f26(c70,f22(f24(c71,c81),c82)),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
not_p57_105 ).
cnf(c_0_25,negated_conjecture,
( p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),X1)
| ~ p57(f26(c70,f22(f24(c71,c81),c82)),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( p57(f26(c70,f22(f24(c71,c81),c82)),X1)
| ~ p21(f22(f24(c71,c83),c84),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_14]) ).
cnf(c_0_27,negated_conjecture,
( p21(f22(X1,X2),f22(X3,X4))
| ~ p20(X1,X3)
| ~ p3(X2,X4) ),
p21_101 ).
cnf(c_0_28,negated_conjecture,
~ p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),f10(c72,c73))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( p57(f26(c70,f22(f24(c71,c81),c82)),f22(X1,X2))
| ~ p20(f24(c71,c83),X1)
| ~ p3(c84,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
p20(X1,X1),
p20_26 ).
cnf(c_0_31,negated_conjecture,
p3(c84,f10(c72,c73)),
p3_36 ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN718-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n017.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:42:28 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 4.00/3.02 % Version : CSE_E---1.7
% 4.00/3.02 % Problem : theBenchmark.p
% 4.00/3.02 % SZS status Unsatisfiable for theBenchmark.p
% 4.00/3.02 % SZS output start CNFRefutation
% See solution above
% 4.12/3.03 % Total time : 2.372s
%------------------------------------------------------------------------------