%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN659-1 : 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 : n028.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 05:39:51 PM UTC 2026
% Result : Unsatisfiable 1.37s 1.76s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 21 ( 12 unt; 0 nHn; 17 RR)
% Number of literals : 41 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p24_41,negated_conjecture,
( p24(X1,X2)
| ~ p14(X3,X1)
| ~ p24(X3,X4)
| ~ p12(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_41) ).
cnf(p24_27,negated_conjecture,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_27) ).
cnf(p12_38,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X1)
| ~ p12(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_38) ).
cnf(p12_10,negated_conjecture,
p12(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_10) ).
cnf(p14_45,negated_conjecture,
( p14(f15(X1,X2),f15(X3,X4))
| ~ p12(X2,X4)
| ~ p7(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_45) ).
cnf(p12_29,negated_conjecture,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_29) ).
cnf(not_p24_39,negated_conjecture,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p24_39) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
cnf(c_0_8,negated_conjecture,
( p24(X1,X2)
| ~ p14(X3,X1)
| ~ p24(X3,X4)
| ~ p12(X4,X2) ),
p24_41 ).
cnf(c_0_9,negated_conjecture,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
p24_27 ).
cnf(c_0_10,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X1)
| ~ p12(X3,X2) ),
p12_38 ).
cnf(c_0_11,negated_conjecture,
p12(X1,X1),
p12_10 ).
cnf(c_0_12,negated_conjecture,
( p24(X1,X2)
| ~ p12(f13(c32,c33),X2)
| ~ p14(f15(c29,f13(c40,c41)),X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( p14(f15(X1,X2),f15(X3,X4))
| ~ p12(X2,X4)
| ~ p7(X1,X3) ),
p14_45 ).
cnf(c_0_14,negated_conjecture,
( p12(X1,X2)
| ~ p12(X2,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
p12_29 ).
cnf(c_0_16,negated_conjecture,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
not_p24_39 ).
cnf(c_0_17,negated_conjecture,
( p24(f15(X1,X2),X3)
| ~ p12(f13(c32,c33),X3)
| ~ p12(f13(c40,c41),X2)
| ~ p7(c29,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
p12(f13(c40,c41),f13(f16(c39),f17(c39))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
p7(X1,X1),
p7_3 ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_11]),c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN659-1 : 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
% 0.14/0.33 % Computer : n028.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:42:31 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.37/1.76 % Version : CSE_E---1.7
% 1.37/1.76 % Problem : theBenchmark.p
% 1.37/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.76 % SZS output start CNFRefutation
% See solution above
% 1.37/1.76 % Total time : 1.369s
%------------------------------------------------------------------------------