%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN655-1 : 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 : n006.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 3.04s 3.13s
% Output : CNFRefutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of clauses : 28 ( 10 unt; 0 nHn; 12 RR)
% Number of literals : 52 ( 0 equ; 26 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-8 aty)
% Number of variables : 131 ( 34 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p9_17,negated_conjecture,
( p9(X1,X2)
| ~ p9(X3,X1)
| ~ p9(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_17) ).
cnf(p9_35,negated_conjecture,
( p9(X1,f15(X2,X3,X4,X5,X6,X7,X8,X1))
| ~ p21(f11(X3,X4,X7,X8,X1,X5),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_35) ).
cnf(p21_27,negated_conjecture,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).
cnf(p9_2,negated_conjecture,
p9(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
cnf(p9_30,negated_conjecture,
( p9(X1,X2)
| ~ p3(f11(X3,X4,X5,X6,X1,X7),f11(X8,X9,X10,X11,X2,X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_30) ).
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(not_p9_10,negated_conjecture,
~ p9(c22,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p9_10) ).
cnf(c_0_7,negated_conjecture,
( p9(X1,X2)
| ~ p9(X3,X1)
| ~ p9(X3,X2) ),
p9_17 ).
cnf(c_0_8,negated_conjecture,
( p9(X1,f15(X2,X3,X4,X5,X6,X7,X8,X1))
| ~ p21(f11(X3,X4,X7,X8,X1,X5),X6) ),
p9_35 ).
cnf(c_0_9,negated_conjecture,
( p9(X1,f15(X2,X3,X4,X5,X6,X7,X8,X9))
| ~ p21(f11(X3,X4,X7,X8,X9,X5),X6)
| ~ p9(X9,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
( p9(X1,f15(X2,X3,X4,X5,X6,X7,X8,X9))
| ~ p21(f11(X3,X4,X7,X8,X9,X5),X6)
| ~ p9(X10,X1)
| ~ p9(X9,X10) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
p21_27 ).
cnf(c_0_12,negated_conjecture,
( p9(X1,f15(X2,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| ~ p9(c22,X3)
| ~ p9(X3,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
p9(X1,X1),
p9_2 ).
cnf(c_0_14,negated_conjecture,
( p9(X1,f15(X2,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| ~ p9(c22,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
( p9(X1,X2)
| ~ p9(X2,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( p9(X1,f15(X2,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| ~ p9(f15(X3,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_14]),c_0_13])]) ).
cnf(c_0_17,negated_conjecture,
( p9(f15(X1,X2,X3,X4,X5,X6,X7,X8),X8)
| ~ p21(f11(X2,X3,X6,X7,X8,X4),X5) ),
inference(spm,[status(thm)],[c_0_15,c_0_8]) ).
cnf(c_0_18,negated_conjecture,
p9(c22,f15(X1,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_11])]) ).
cnf(c_0_19,negated_conjecture,
( p9(X1,X2)
| ~ p3(f11(X3,X4,X5,X6,X1,X7),f11(X8,X9,X10,X11,X2,X12)) ),
p9_30 ).
cnf(c_0_20,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_21,negated_conjecture,
p9(f15(X1,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22),
inference(spm,[status(thm)],[c_0_15,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( p9(X1,f15(X2,X3,X4,X5,f11(X6,X7,X8,X9,X1,X10),X11,X12,X13))
| ~ p21(f11(X3,X4,X11,X12,X13,X5),f11(X6,X7,X8,X9,X1,X10)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
( p9(X1,c22)
| ~ p9(f15(X2,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( p9(f15(X1,X2,X3,X4,f11(X5,X6,X7,X8,X9,X10),X11,X12,X13),X9)
| ~ p21(f11(X2,X3,X11,X12,X13,X4),f11(X5,X6,X7,X8,X9,X10)) ),
inference(spm,[status(thm)],[c_0_15,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
p9(c23,c22),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_11])]) ).
cnf(c_0_26,negated_conjecture,
~ p9(c22,c23),
not_p9_10 ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.21 % Problem : SYN655-1 : TPTP v9.2.1. Released v2.5.0.
% 0.03/0.21 % 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
% 0.12/0.45 % Computer : n006.cluster.edu
% 0.12/0.45 % Model : x86_64 x86_64
% 0.12/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.45 % Memory : 8042.1875MB
% 0.12/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.45 % CPULimit : 300
% 0.12/0.45 % WCLimit : 300
% 0.12/0.45 % DateTime : Tue May 5 08:42:31 EDT 2026
% 0.12/0.45 % CPUTime :
% 0.12/0.46 % start to proof: theBenchmark
% 3.04/3.13 % Version : CSE_E---1.7
% 3.04/3.13 % Problem : theBenchmark.p
% 3.04/3.13 % SZS status Unsatisfiable for theBenchmark.p
% 3.04/3.13 % SZS output start CNFRefutation
% See solution above
% 3.04/3.13 % Total time : 2.370s
%------------------------------------------------------------------------------