%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN690-1 : 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 : n017.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 05:39:55 PM UTC 2026
% Result : Unsatisfiable 1.34s 1.74s
% Output : CNFRefutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 12 unt; 6 nHn; 20 RR)
% Number of literals : 67 ( 0 equ; 34 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_27,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_27) ).
cnf(p4_21,negated_conjecture,
p4(f5(c40,X1),f5(f7(c39,c40),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_21) ).
cnf(p2_61,negated_conjecture,
( p2(X1,X2)
| p4(f5(f26(f28(c43,X3),X4),X5),f5(f26(f28(c44,X3),X4),X5))
| ~ p34(c36,X3)
| ~ p35(f10(X3,X5),f30(f32(c42,X3),X4))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_61) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
cnf(p4_22,negated_conjecture,
p4(f5(c38,X1),f5(f7(c39,c38),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_22) ).
cnf(not_p2_20,negated_conjecture,
~ p2(c38,c40),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_20) ).
cnf(p4_57,negated_conjecture,
( p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2))
| p35(f10(c37,f12(f14(f16(c41,X1),X3),X2)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_57) ).
cnf(p34_19,negated_conjecture,
p34(c36,c37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_19) ).
cnf(p4_58,negated_conjecture,
( p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2))
| ~ p4(f5(X1,f12(f14(f16(c41,X1),X3),X2)),f5(X3,f12(f14(f16(c41,X1),X3),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).
cnf(p2_62,negated_conjecture,
( p2(X1,X2)
| ~ p34(c36,X3)
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(f7(X4,f26(f28(c43,X3),X4)),f30(f32(c42,X3),X4)),f5(f7(X4,f26(f28(c44,X3),X4)),f30(f32(c42,X3),X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_62) ).
cnf(c_0_10,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_27 ).
cnf(c_0_11,negated_conjecture,
p4(f5(c40,X1),f5(f7(c39,c40),X1)),
p4_21 ).
cnf(c_0_12,negated_conjecture,
( p2(X1,X2)
| p4(f5(f26(f28(c43,X3),X4),X5),f5(f26(f28(c44,X3),X4),X5))
| ~ p34(c36,X3)
| ~ p35(f10(X3,X5),f30(f32(c42,X3),X4))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2))) ),
p2_61 ).
cnf(c_0_13,negated_conjecture,
( p4(X1,f5(f7(c39,c40),X2))
| ~ p4(f5(c40,X2),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_15,negated_conjecture,
p4(f5(c38,X1),f5(f7(c39,c38),X1)),
p4_22 ).
cnf(c_0_16,negated_conjecture,
( p2(X1,c40)
| p4(f5(f26(f28(c43,X2),c39),X3),f5(f26(f28(c44,X2),c39),X3))
| ~ p35(f10(X2,X3),f30(f32(c42,X2),c39))
| ~ p34(c36,X2)
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X2),c39),X1),c40)),f5(f7(c39,X1),f18(f20(f22(f24(c45,X2),c39),X1),c40))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,negated_conjecture,
( p4(X1,f5(f7(c39,c38),X2))
| ~ p4(f5(c38,X2),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
~ p2(c38,c40),
not_p2_20 ).
cnf(c_0_19,negated_conjecture,
( p4(f5(f26(f28(c43,X1),c39),X2),f5(f26(f28(c44,X1),c39),X2))
| ~ p35(f10(X1,X2),f30(f32(c42,X1),c39))
| ~ p34(c36,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14])]),c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2))
| p35(f10(c37,f12(f14(f16(c41,X1),X3),X2)),X2) ),
p4_57 ).
cnf(c_0_21,negated_conjecture,
p34(c36,c37),
p34_19 ).
cnf(c_0_22,negated_conjecture,
( p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2))
| ~ p4(f5(X1,f12(f14(f16(c41,X1),X3),X2)),f5(X3,f12(f14(f16(c41,X1),X3),X2))) ),
p4_58 ).
cnf(c_0_23,negated_conjecture,
( p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),c39))))
| p4(f5(f7(c39,X1),f30(f32(c42,c37),c39)),f5(f7(c39,X2),f30(f32(c42,c37),c39))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_24,negated_conjecture,
( p2(X1,X2)
| ~ p34(c36,X3)
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(f7(X4,f26(f28(c43,X3),X4)),f30(f32(c42,X3),X4)),f5(f7(X4,f26(f28(c44,X3),X4)),f30(f32(c42,X3),X4))) ),
p2_62 ).
cnf(c_0_25,negated_conjecture,
p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( p2(X1,X2)
| ~ p4(f5(X2,f18(f20(f22(f24(c45,c37),c39),X1),X2)),f5(f7(c39,X2),f18(f20(f22(f24(c45,c37),c39),X1),X2)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X1),X2)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X1),X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21])]) ).
cnf(c_0_27,negated_conjecture,
( p2(X1,c40)
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X1),c40)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X1),c40))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_13]),c_0_14])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_17]),c_0_14])]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN690-1 : 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
% 0.16/0.33 % Computer : n017.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:41:57 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.34/1.74 % Version : CSE_E---1.7
% 1.34/1.74 % Problem : theBenchmark.p
% 1.34/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.34/1.74 % SZS output start CNFRefutation
% See solution above
% 1.34/1.74 % Total time : 1.370s
%------------------------------------------------------------------------------