%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN620-1 : 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 05:39:46 PM UTC 2026
% Result : Unsatisfiable 1.28s 1.72s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 13 unt; 0 nHn; 13 RR)
% Number of literals : 40 ( 0 equ; 19 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; 5 con; 0-2 aty)
% Number of variables : 37 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p20_28,negated_conjecture,
( p20(X1,X2)
| ~ p11(X3,X2)
| ~ p20(X4,X3)
| ~ p11(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_28) ).
cnf(p20_32,negated_conjecture,
p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_32) ).
cnf(p11_5,negated_conjecture,
p11(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_5) ).
cnf(p10_19,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_19) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
cnf(p11_18,negated_conjecture,
( p11(f12(X1),f12(X2))
| ~ p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_18) ).
cnf(p10_24,negated_conjecture,
p10(f13(f6(c22),X1),f13(f6(c24),f16(c26,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_24) ).
cnf(not_p20_33,negated_conjecture,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p20_33) ).
cnf(c_0_8,negated_conjecture,
( p20(X1,X2)
| ~ p11(X3,X2)
| ~ p20(X4,X3)
| ~ p11(X4,X1) ),
p20_28 ).
cnf(c_0_9,negated_conjecture,
p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X1))),
p20_32 ).
cnf(c_0_10,negated_conjecture,
( p20(X1,X2)
| ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),X1)
| ~ p11(f12(f13(f6(c24),X3)),X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
p11(X1,X1),
p11_5 ).
cnf(c_0_12,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
p10_19 ).
cnf(c_0_13,negated_conjecture,
p10(X1,X1),
p10_1 ).
cnf(c_0_14,negated_conjecture,
( p20(f12(f13(f6(c22),f14(f15(f7(c25))))),X1)
| ~ p11(f12(f13(f6(c24),X2)),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( p11(f12(X1),f12(X2))
| ~ p10(X1,X2) ),
p11_18 ).
cnf(c_0_16,negated_conjecture,
( p10(X1,X2)
| ~ p10(X2,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
p10(f13(f6(c22),X1),f13(f6(c24),f16(c26,X1))),
p10_24 ).
cnf(c_0_18,negated_conjecture,
( p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(X1))
| ~ p10(f13(f6(c24),X2),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
p10(f13(f6(c24),f16(c26,X1)),f13(f6(c22),X1)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
not_p20_33 ).
cnf(c_0_21,negated_conjecture,
p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),X1))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN620-1 : 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
% 0.15/0.32 % Computer : n028.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:41:31 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.18/0.34 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.72 % SZS output start CNFRefutation
% See solution above
% 1.28/1.72 % Total time : 1.368s
%------------------------------------------------------------------------------