%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN587-1 : 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 : n013.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 05:39:42 PM UTC 2026
% Result : Unsatisfiable 9.10s 6.15s
% Output : CNFRefutation 9.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 12 unt; 0 nHn; 18 RR)
% Number of literals : 44 ( 0 equ; 24 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p15_17,negated_conjecture,
( p15(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p15(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_17) ).
cnf(p15_18,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_18) ).
cnf(p2_20,negated_conjecture,
( p2(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
cnf(p3_15,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_15) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p3_5,negated_conjecture,
p3(c21,c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).
cnf(not_p15_19,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_19) ).
cnf(c_0_8,negated_conjecture,
( p15(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p15(X3,X4) ),
p15_17 ).
cnf(c_0_9,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
p15_18 ).
cnf(c_0_10,negated_conjecture,
( p15(X1,X2)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),X1)
| ~ p2(c20,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
( p2(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p2_20 ).
cnf(c_0_12,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_15 ).
cnf(c_0_13,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_14,negated_conjecture,
( p15(f4(X1,X2),X3)
| ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X1)
| ~ p2(c20,X3)
| ~ p3(c19,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_16,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
p3(c21,c19),
p3_5 ).
cnf(c_0_18,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
not_p15_19 ).
cnf(c_0_19,negated_conjecture,
( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X1),X2)
| ~ p2(c20,X2)
| ~ p3(c19,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
p3(c19,c21),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN587-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.11 % 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
% 0.10/0.32 % Computer : n013.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 5 08:40:41 EDT 2026
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % start to proof: theBenchmark
% 9.10/6.15 % Version : CSE_E---1.7
% 9.10/6.15 % Problem : theBenchmark.p
% 9.10/6.15 % SZS status Unsatisfiable for theBenchmark.p
% 9.10/6.15 % SZS output start CNFRefutation
% See solution above
% 9.17/6.20 % Total time : 4.368s
%------------------------------------------------------------------------------