%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN687-1 : 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 : 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 05:39:54 PM UTC 2026
% Result : Unsatisfiable 3.34s 2.81s
% Output : CNFRefutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 6 unt; 7 nHn; 7 RR)
% Number of literals : 35 ( 0 equ; 12 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_57,negated_conjecture,
( p4(f5(f26(f28(c46,X1),X2),X3),f5(f26(f28(c47,X1),X2),X3))
| p4(f5(f26(f28(c46,X1),X2),X4),f5(f9(X2,f26(f28(c46,X1),X2)),X4))
| ~ p34(c36,X1)
| ~ p35(f12(X1,X3),f30(f32(c45,X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_57) ).
cnf(p4_55,negated_conjecture,
( p4(f5(f9(c39,X1),X2),f5(f9(c39,X3),X2))
| p35(f12(c37,f14(f16(f18(c40,X1),X3),X2)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_55) ).
cnf(p34_19,negated_conjecture,
p34(c36,c37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_19) ).
cnf(p4_56,negated_conjecture,
( p4(f5(f9(c39,X1),X2),f5(f9(c39,X3),X2))
| ~ p4(f5(X1,f14(f16(f18(c40,X1),X3),X2)),f5(X3,f14(f16(f18(c40,X1),X3),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_56) ).
cnf(p4_58,negated_conjecture,
( p4(f5(f26(f28(c46,X1),X2),X3),f5(f9(X2,f26(f28(c46,X1),X2)),X3))
| ~ p34(c36,X1)
| ~ p4(f5(f9(X2,f26(f28(c46,X1),X2)),f30(f32(c45,X1),X2)),f5(f9(X2,f26(f28(c47,X1),X2)),f30(f32(c45,X1),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).
cnf(not_p4_40,negated_conjecture,
~ p4(f5(X1,f7(c38,X1)),f5(f9(c39,X1),f7(c38,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_40) ).
cnf(c_0_6,negated_conjecture,
( p4(f5(f26(f28(c46,X1),X2),X3),f5(f26(f28(c47,X1),X2),X3))
| p4(f5(f26(f28(c46,X1),X2),X4),f5(f9(X2,f26(f28(c46,X1),X2)),X4))
| ~ p34(c36,X1)
| ~ p35(f12(X1,X3),f30(f32(c45,X1),X2)) ),
p4_57 ).
cnf(c_0_7,negated_conjecture,
( p4(f5(f9(c39,X1),X2),f5(f9(c39,X3),X2))
| p35(f12(c37,f14(f16(f18(c40,X1),X3),X2)),X2) ),
p4_55 ).
cnf(c_0_8,negated_conjecture,
p34(c36,c37),
p34_19 ).
cnf(c_0_9,negated_conjecture,
( p4(f5(f9(c39,X1),X2),f5(f9(c39,X3),X2))
| ~ p4(f5(X1,f14(f16(f18(c40,X1),X3),X2)),f5(X3,f14(f16(f18(c40,X1),X3),X2))) ),
p4_56 ).
cnf(c_0_10,negated_conjecture,
( p4(f5(f26(f28(c46,c37),X1),f14(f16(f18(c40,X2),X3),f30(f32(c45,c37),X1))),f5(f26(f28(c47,c37),X1),f14(f16(f18(c40,X2),X3),f30(f32(c45,c37),X1))))
| p4(f5(f9(c39,X2),f30(f32(c45,c37),X1)),f5(f9(c39,X3),f30(f32(c45,c37),X1)))
| p4(f5(f26(f28(c46,c37),X1),X4),f5(f9(X1,f26(f28(c46,c37),X1)),X4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_11,negated_conjecture,
( p4(f5(f26(f28(c46,X1),X2),X3),f5(f9(X2,f26(f28(c46,X1),X2)),X3))
| ~ p34(c36,X1)
| ~ p4(f5(f9(X2,f26(f28(c46,X1),X2)),f30(f32(c45,X1),X2)),f5(f9(X2,f26(f28(c47,X1),X2)),f30(f32(c45,X1),X2))) ),
p4_58 ).
cnf(c_0_12,negated_conjecture,
( p4(f5(f9(c39,f26(f28(c46,c37),X1)),f30(f32(c45,c37),X1)),f5(f9(c39,f26(f28(c47,c37),X1)),f30(f32(c45,c37),X1)))
| p4(f5(f26(f28(c46,c37),X1),X2),f5(f9(X1,f26(f28(c46,c37),X1)),X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( p4(f5(f26(f28(c46,c37),c39),X1),f5(f9(c39,f26(f28(c46,c37),c39)),X1))
| p4(f5(f26(f28(c46,c37),c39),X2),f5(f9(c39,f26(f28(c46,c37),c39)),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_8])]) ).
cnf(c_0_14,negated_conjecture,
~ p4(f5(X1,f7(c38,X1)),f5(f9(c39,X1),f7(c38,X1))),
not_p4_40 ).
cnf(c_0_15,negated_conjecture,
p4(f5(f26(f28(c46,c37),c39),X1),f5(f9(c39,f26(f28(c46,c37),c39)),X1)),
inference(ef,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_14,c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN687-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n013.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % 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 08:43:11 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 3.34/2.81 % Version : CSE_E---1.7
% 3.34/2.81 % Problem : theBenchmark.p
% 3.34/2.81 % SZS status Unsatisfiable for theBenchmark.p
% 3.34/2.81 % SZS output start CNFRefutation
% See solution above
% 3.34/2.81 % Total time : 2.373s
%------------------------------------------------------------------------------