%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN656-1 : 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 : n021.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 1.24s 1.69s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 12 unt; 4 nHn; 18 RR)
% Number of literals : 52 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p25_46,negated_conjecture,
( p25(f5(f7(c28,X1),X2),X3)
| ~ p25(f5(X1,X2),X4)
| ~ p25(f5(f7(c28,X1),X4),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_46) ).
cnf(p3_49,negated_conjecture,
( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X1)))
| p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X1))),f13(c31,c34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_49) ).
cnf(p25_35,negated_conjecture,
( p25(X1,X2)
| ~ p3(X3,X2)
| ~ p4(X4,X1)
| ~ p25(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_35) ).
cnf(p25_31,negated_conjecture,
p25(f5(c29,f13(c31,f15(c32,X1))),f13(c31,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_31) ).
cnf(not_p25_45,negated_conjecture,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p25_45) ).
cnf(p25_32,negated_conjecture,
( p25(f5(f7(c28,X1),X2),X3)
| ~ p25(f5(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_32) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
cnf(p3_22,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_22) ).
cnf(p3_6,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
cnf(c_0_9,negated_conjecture,
( p25(f5(f7(c28,X1),X2),X3)
| ~ p25(f5(X1,X2),X4)
| ~ p25(f5(f7(c28,X1),X4),X3) ),
p25_46 ).
cnf(c_0_10,negated_conjecture,
( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X1)))
| p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X1))),f13(c31,c34)) ),
p3_49 ).
cnf(c_0_11,negated_conjecture,
( p25(X1,X2)
| ~ p3(X3,X2)
| ~ p4(X4,X1)
| ~ p25(X4,X3) ),
p25_35 ).
cnf(c_0_12,negated_conjecture,
p25(f5(c29,f13(c31,f15(c32,X1))),f13(c31,X1)),
p25_31 ).
cnf(c_0_13,negated_conjecture,
( p25(f5(f7(c28,c29),X1),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X2)))
| ~ p25(f5(c29,X1),f13(c31,f15(f17(c33,c34),X2))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
not_p25_45 ).
cnf(c_0_15,negated_conjecture,
( p25(f5(f7(c28,X1),X2),X3)
| ~ p25(f5(X1,X2),X3) ),
p25_32 ).
cnf(c_0_16,negated_conjecture,
( p25(X1,X2)
| ~ p3(f13(c31,X3),X2)
| ~ p4(f5(c29,f13(c31,f15(c32,X3))),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_18,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_22 ).
cnf(c_0_19,negated_conjecture,
p3(X1,X1),
p3_6 ).
cnf(c_0_20,negated_conjecture,
( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),X1)))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X1))) ),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_21,negated_conjecture,
~ p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( p25(f5(c29,f13(c31,f15(c32,X1))),X2)
| ~ p3(f13(c31,X1),X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
~ p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN656-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.10 % 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
% 0.14/0.30 % Computer : n021.cluster.edu
% 0.14/0.30 % Model : x86_64 x86_64
% 0.14/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.30 % Memory : 8042.1875MB
% 0.14/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.30 % CPULimit : 300
% 0.14/0.30 % WCLimit : 300
% 0.14/0.30 % DateTime : Tue May 5 08:43:25 EDT 2026
% 0.14/0.30 % CPUTime :
% 0.14/0.31 % start to proof: theBenchmark
% 1.24/1.69 % Version : CSE_E---1.7
% 1.24/1.69 % Problem : theBenchmark.p
% 1.24/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.69 % SZS output start CNFRefutation
% See solution above
% 1.24/1.69 % Total time : 1.369s
%------------------------------------------------------------------------------