%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN601-1 : 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 : n025.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 05:39:44 PM UTC 2026
% Result : Unsatisfiable 6.24s 4.57s
% Output : CNFRefutation 6.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 27 ( 16 unt; 0 nHn; 19 RR)
% Number of literals : 58 ( 0 equ; 34 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p19_24,negated_conjecture,
( p19(X1,X2)
| ~ p19(X3,X4)
| ~ p2(X3,X1)
| ~ p10(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_24) ).
cnf(p19_22,negated_conjecture,
p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_22) ).
cnf(p10_30,negated_conjecture,
( p10(f11(X1,X2,X3),f11(X4,X5,X6))
| ~ p2(X1,X4)
| ~ p9(X2,X5)
| ~ p10(X3,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_30) ).
cnf(p2_28,negated_conjecture,
( p2(f13(X1,X2),f13(X3,X4))
| ~ p12(X2,X4)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
cnf(not_p19_23,negated_conjecture,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_23) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
cnf(p9_2,negated_conjecture,
p9(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
cnf(p12_27,negated_conjecture,
( p12(f14(X1,X2),f14(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_27) ).
cnf(p3_7,negated_conjecture,
p3(c22,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
cnf(c_0_11,negated_conjecture,
( p19(X1,X2)
| ~ p19(X3,X4)
| ~ p2(X3,X1)
| ~ p10(X4,X2) ),
p19_24 ).
cnf(c_0_12,negated_conjecture,
p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)),
p19_22 ).
cnf(c_0_13,negated_conjecture,
( p19(X1,X2)
| ~ p2(c21,X1)
| ~ p10(f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( p10(f11(X1,X2,X3),f11(X4,X5,X6))
| ~ p2(X1,X4)
| ~ p9(X2,X5)
| ~ p10(X3,X6) ),
p10_30 ).
cnf(c_0_15,negated_conjecture,
( p19(X1,f11(X2,X3,X4))
| ~ p2(f13(f15(c21),f14(f4(c21),c22)),X2)
| ~ p2(c21,X1)
| ~ p9(c24,X3)
| ~ p10(c25,X4) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( p2(f13(X1,X2),f13(X3,X4))
| ~ p12(X2,X4)
| ~ p3(X1,X3) ),
p2_28 ).
cnf(c_0_17,negated_conjecture,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
not_p19_23 ).
cnf(c_0_18,negated_conjecture,
( p19(X1,f11(f13(X2,X3),X4,X5))
| ~ p12(f14(f4(c21),c22),X3)
| ~ p2(c21,X1)
| ~ p3(f15(c21),X2)
| ~ p9(c24,X4)
| ~ p10(c25,X5) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_20,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_21,negated_conjecture,
p9(X1,X1),
p9_2 ).
cnf(c_0_22,negated_conjecture,
p10(X1,X1),
p10_1 ).
cnf(c_0_23,negated_conjecture,
~ p12(f14(f4(c21),c22),f14(f4(c21),c23)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_24,negated_conjecture,
( p12(f14(X1,X2),f14(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
p12_27 ).
cnf(c_0_25,negated_conjecture,
p3(c22,c23),
p3_7 ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN601-1 : 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 : n025.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 08:40:28 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 6.24/4.57 % Version : CSE_E---1.7
% 6.24/4.57 % Problem : theBenchmark.p
% 6.24/4.57 % SZS status Unsatisfiable for theBenchmark.p
% 6.24/4.57 % SZS output start CNFRefutation
% See solution above
% 6.24/4.59 % Total time : 3.371s
%------------------------------------------------------------------------------