%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN640-1 : 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 : n015.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 05:39:48 PM UTC 2026
% Result : Unsatisfiable 14.18s 8.74s
% Output : CNFRefutation 14.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 22 unt; 0 nHn; 36 RR)
% Number of literals : 74 ( 0 equ; 36 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p19_28,negated_conjecture,
( p19(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p19(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_28) ).
cnf(p19_12,negated_conjecture,
p19(f13(f11(c23)),f13(f11(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_12) ).
cnf(p2_5,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(p2_26,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_26) ).
cnf(p2_33,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_33) ).
cnf(p2_34,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_34) ).
cnf(p2_18,negated_conjecture,
( p2(f13(X1),f13(X2))
| ~ p4(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).
cnf(p4_14,negated_conjecture,
( p4(f11(X1),f11(X2))
| ~ p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_14) ).
cnf(p10_2,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_2) ).
cnf(p20_35,negated_conjecture,
( p20(f17(X1),f17(X2))
| ~ p2(f12(f11(X2)),f7(c24))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p19(f13(f11(X1)),f13(f11(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_35) ).
cnf(p2_10,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
cnf(p2_9,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).
cnf(not_p20_7,negated_conjecture,
~ p20(f17(c25),f17(c22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p20_7) ).
cnf(c_0_13,negated_conjecture,
( p19(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p19(X3,X4) ),
p19_28 ).
cnf(c_0_14,negated_conjecture,
p19(f13(f11(c23)),f13(f11(c22))),
p19_12 ).
cnf(c_0_15,negated_conjecture,
( p19(X1,X2)
| ~ p2(f13(f11(c22)),X2)
| ~ p2(f13(f11(c23)),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
p2(X1,X1),
p2_5 ).
cnf(c_0_17,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_26 ).
cnf(c_0_18,negated_conjecture,
( p19(X1,f13(f11(c22)))
| ~ p2(f13(f11(c23)),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
p2_33 ).
cnf(c_0_21,negated_conjecture,
( p19(X1,X2)
| ~ p2(f13(f11(c22)),X2)
| ~ p2(f13(f11(c23)),X3)
| ~ p2(X3,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c23))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
p2_34 ).
cnf(c_0_24,negated_conjecture,
( p19(X1,f13(f11(c22)))
| ~ p2(f13(f11(c23)),X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_25,negated_conjecture,
( p2(f13(X1),f13(X2))
| ~ p4(X1,X2) ),
p2_18 ).
cnf(c_0_26,negated_conjecture,
( p2(X1,f13(f11(c23)))
| ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))),
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( p19(X1,f13(f11(c22)))
| ~ p2(f13(X2),X1)
| ~ p4(f11(c23),X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( p4(f11(X1),f11(X2))
| ~ p10(X1,X2) ),
p4_14 ).
cnf(c_0_30,negated_conjecture,
p2(f13(f11(c25)),f13(f11(c23))),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( p19(X1,f13(f11(c22)))
| ~ p2(f13(f11(X2)),X1)
| ~ p10(c23,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
p2(f13(f11(c23)),f13(f11(c25))),
inference(spm,[status(thm)],[c_0_19,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
p10(X1,X1),
p10_2 ).
cnf(c_0_34,negated_conjecture,
( p20(f17(X1),f17(X2))
| ~ p2(f12(f11(X2)),f7(c24))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p19(f13(f11(X1)),f13(f11(X2))) ),
p20_35 ).
cnf(c_0_35,negated_conjecture,
p19(f13(f11(c25)),f13(f11(c22))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_36,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
p2_10 ).
cnf(c_0_37,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
p2_9 ).
cnf(c_0_38,negated_conjecture,
~ p20(f17(c25),f17(c22)),
not_p20_7 ).
cnf(c_0_39,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37])]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN640-1 : 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
% 0.16/0.32 % Computer : n015.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 08:42:17 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 14.18/8.74 % Version : CSE_E---1.7
% 14.18/8.74 % Problem : theBenchmark.p
% 14.18/8.74 % SZS status Unsatisfiable for theBenchmark.p
% 14.18/8.74 % SZS output start CNFRefutation
% See solution above
% 14.18/8.80 % Total time : 6.382s
%------------------------------------------------------------------------------