%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN595-1 : 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 : n023.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 05:39:43 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 13 unt; 0 nHn; 28 RR)
% Number of literals : 74 ( 0 equ; 51 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p2_26,negated_conjecture,
( ~ p2(X1,f3(c17))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p15(X3,f6(f3(f4(f5(c17))),c16))
| ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X2),f8(f10(f11(f3(f4(f5(c17)))),X1),f9(f11(X3),f10(f11(f3(f4(f5(c17)))),c22))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_26) ).
cnf(p7_22,negated_conjecture,
( p7(f8(X1,X2),f8(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_22) ).
cnf(p7_21,negated_conjecture,
( p7(f9(X1,X2),f9(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_21) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p14_5,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_5) ).
cnf(p2_16,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
cnf(p7_13,negated_conjecture,
( p7(f11(X1),f11(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_13) ).
cnf(p2_17,negated_conjecture,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
cnf(p15_6,negated_conjecture,
( p15(X1,X2)
| ~ p14(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_6) ).
cnf(p14_8,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_8) ).
cnf(c_0_11,negated_conjecture,
( ~ p2(X1,f3(c17))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p15(X3,f6(f3(f4(f5(c17))),c16))
| ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X2),f8(f10(f11(f3(f4(f5(c17)))),X1),f9(f11(X3),f10(f11(f3(f4(f5(c17)))),c22))))) ),
not_p2_26 ).
cnf(c_0_12,negated_conjecture,
( p7(f8(X1,X2),f8(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
p7_22 ).
cnf(c_0_13,negated_conjecture,
( ~ p15(X1,f6(f3(f4(f5(c17))),c16))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p7(f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22))),f8(f10(f11(f3(f4(f5(c17)))),X3),f9(f11(X1),f10(f11(f3(f4(f5(c17)))),c22))))
| ~ p7(f10(f12(f11(f3(f5(c17)))),c18),f10(f12(f11(f3(f5(c17)))),X2))
| ~ p2(X3,f3(c17)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( ~ p15(X1,f6(f3(f4(f5(c17))),c16))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p7(f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)),f9(f11(X1),f10(f11(f3(f4(f5(c17)))),c22)))
| ~ p7(f10(f11(f3(f4(f5(c17)))),f3(c17)),f10(f11(f3(f4(f5(c17)))),X3))
| ~ p7(f10(f12(f11(f3(f5(c17)))),c18),f10(f12(f11(f3(f5(c17)))),X2))
| ~ p2(X3,f3(c17)) ),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( p7(f9(X1,X2),f9(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
p7_21 ).
cnf(c_0_16,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_17,negated_conjecture,
( ~ p15(X1,f6(f3(f4(f5(c17))),c16))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p7(f10(f11(f3(f4(f5(c17)))),f3(c17)),f10(f11(f3(f4(f5(c17)))),X3))
| ~ p7(f10(f12(f11(f3(f5(c17)))),c18),f10(f12(f11(f3(f5(c17)))),X2))
| ~ p7(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f11(X1))
| ~ p2(X3,f3(c17)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_18,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_19,negated_conjecture,
( ~ p15(X1,f6(f3(f4(f5(c17))),c16))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p7(f10(f12(f11(f3(f5(c17)))),c18),f10(f12(f11(f3(f5(c17)))),X2))
| ~ p7(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f11(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_16]),c_0_18])]) ).
cnf(c_0_20,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
p14_5 ).
cnf(c_0_21,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_16 ).
cnf(c_0_22,negated_conjecture,
( ~ p15(X1,f6(f3(f4(f5(c17))),c16))
| ~ p7(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f11(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_16]),c_0_20])]) ).
cnf(c_0_23,negated_conjecture,
( p7(f11(X1),f11(X2))
| ~ p2(X1,X2) ),
p7_13 ).
cnf(c_0_24,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
p2_17 ).
cnf(c_0_26,negated_conjecture,
( ~ p15(X1,f6(f3(f4(f5(c17))),c16))
| ~ p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
~ p15(c19,f6(f3(f4(f5(c17))),c16)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
( p15(X1,X2)
| ~ p14(X1,X2) ),
p15_6 ).
cnf(c_0_30,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
p14_8 ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN595-1 : 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 : n023.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 08:41:24 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.368s
%------------------------------------------------------------------------------