%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN653-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.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 05:39:50 PM UTC 2026
% Result : Unsatisfiable 1.37s 1.74s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 8 unt; 0 nHn; 17 RR)
% Number of literals : 46 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-8 aty)
% Number of variables : 123 ( 36 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p12_24,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X1)
| ~ p12(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_24) ).
cnf(p12_9,negated_conjecture,
p12(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_9) ).
cnf(p12_37,negated_conjecture,
( p12(f13(X1),f13(f17(X2,X3,X4,X5,X6,X1,X7,X8)))
| ~ p21(f11(X3,X4,X1,X7,X8,X5),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_37) ).
cnf(p12_13,negated_conjecture,
( p12(f13(X1),f13(X2))
| ~ p7(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_13) ).
cnf(p7_32,negated_conjecture,
( p7(X1,X2)
| ~ p3(f11(X3,X4,X1,X5,X6,X7),f11(X8,X9,X2,X10,X11,X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_32) ).
cnf(p3_48,negated_conjecture,
( p3(X1,f11(f19(X2,X3,X4,X5,X1,X6,X7,X8),f18(X2,X3,X4,X5,X1,X6,X7,X8),f17(X2,X3,X4,X5,X1,X6,X7,X8),f16(X2,X3,X4,X5,X1,X6,X7,X8),f15(X2,X3,X4,X5,X1,X6,X7,X8),f14(X2,X3,X4,X5,X1,X6,X7,X8)))
| ~ p21(f11(X3,X4,X6,X7,X8,X5),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_48) ).
cnf(p21_27,negated_conjecture,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).
cnf(not_p12_10,negated_conjecture,
~ p12(f13(c22),f13(c23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_10) ).
cnf(c_0_8,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X1)
| ~ p12(X3,X2) ),
p12_24 ).
cnf(c_0_9,negated_conjecture,
p12(X1,X1),
p12_9 ).
cnf(c_0_10,negated_conjecture,
( p12(X1,X2)
| ~ p12(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
( p12(f13(X1),f13(f17(X2,X3,X4,X5,X6,X1,X7,X8)))
| ~ p21(f11(X3,X4,X1,X7,X8,X5),X6) ),
p12_37 ).
cnf(c_0_12,negated_conjecture,
( p12(f13(f17(X1,X2,X3,X4,X5,X6,X7,X8)),f13(X6))
| ~ p21(f11(X2,X3,X6,X7,X8,X4),X5) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( p12(f13(X1),f13(X2))
| ~ p7(X1,X2) ),
p12_13 ).
cnf(c_0_14,negated_conjecture,
( p12(X1,f13(X2))
| ~ p21(f11(X3,X4,X2,X5,X6,X7),X8)
| ~ p12(f13(f17(X9,X3,X4,X7,X8,X2,X5,X6)),X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( p12(f13(X1),f13(X2))
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( p7(X1,X2)
| ~ p3(f11(X3,X4,X1,X5,X6,X7),f11(X8,X9,X2,X10,X11,X12)) ),
p7_32 ).
cnf(c_0_17,negated_conjecture,
( p3(X1,f11(f19(X2,X3,X4,X5,X1,X6,X7,X8),f18(X2,X3,X4,X5,X1,X6,X7,X8),f17(X2,X3,X4,X5,X1,X6,X7,X8),f16(X2,X3,X4,X5,X1,X6,X7,X8),f15(X2,X3,X4,X5,X1,X6,X7,X8),f14(X2,X3,X4,X5,X1,X6,X7,X8)))
| ~ p21(f11(X3,X4,X6,X7,X8,X5),X1) ),
p3_48 ).
cnf(c_0_18,negated_conjecture,
( p12(f13(X1),f13(X2))
| ~ p21(f11(X3,X4,X2,X5,X6,X7),X8)
| ~ p7(X1,f17(X9,X3,X4,X7,X8,X2,X5,X6)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( p7(X1,f17(X2,X3,X4,X5,f11(X6,X7,X1,X8,X9,X10),X11,X12,X13))
| ~ p21(f11(X3,X4,X11,X12,X13,X5),f11(X6,X7,X1,X8,X9,X10)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( p12(f13(X1),f13(X2))
| ~ p21(f11(X3,X4,X2,X5,X6,X7),f11(X8,X9,X1,X10,X11,X12)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
p21_27 ).
cnf(c_0_22,negated_conjecture,
p12(f13(c23),f13(c22)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
~ p12(f13(c22),f13(c23)),
not_p12_10 ).
cnf(c_0_24,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_22]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN653-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33 % Computer : n016.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue May 5 08:43:06 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 1.37/1.74 % Version : CSE_E---1.7
% 1.37/1.74 % Problem : theBenchmark.p
% 1.37/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.74 % SZS output start CNFRefutation
% See solution above
% 1.37/1.74 % Total time : 1.369s
%------------------------------------------------------------------------------