%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN691-1 : 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 : n022.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 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 33 ( 14 unt; 0 nHn; 23 RR)
% Number of literals : 67 ( 0 equ; 37 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 70 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p39_45,negated_conjecture,
( p39(X1,X2)
| ~ p39(X3,X4)
| ~ p4(X3,X1)
| ~ p22(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_45) ).
cnf(p39_46,negated_conjecture,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_46) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
cnf(p4_50,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_50) ).
cnf(p3_67,negated_conjecture,
p3(f7(c41,f10(f13(f15(c42,X1),X2),X3)),f10(f13(f15(c42,f17(f19(f21(c47,X1),X2),X3)),f26(f28(f30(c48,X1),X2),X3)),f34(f36(f38(c49,X1),X2),X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_67) ).
cnf(p2_17,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
cnf(p22_15,negated_conjecture,
p22(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_15) ).
cnf(p39_63,negated_conjecture,
( p39(X1,X2)
| ~ p39(f5(c40,f10(f13(f15(c42,X1),X3),X4)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_63) ).
cnf(p39_44,negated_conjecture,
( p39(X1,X2)
| ~ p39(f17(f19(f21(c47,X1),X3),X4),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_44) ).
cnf(not_p39_43,negated_conjecture,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p39_43) ).
cnf(p39_64,negated_conjecture,
( p39(f5(c40,f10(f13(f15(c42,X1),X2),X3)),X4)
| ~ p39(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_64) ).
cnf(c_0_11,negated_conjecture,
( p39(X1,X2)
| ~ p39(X3,X4)
| ~ p4(X3,X1)
| ~ p22(X4,X2) ),
p39_45 ).
cnf(c_0_12,negated_conjecture,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
p39_46 ).
cnf(c_0_13,negated_conjecture,
( p39(X1,X2)
| ~ p22(c46,X2)
| ~ p4(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_15,negated_conjecture,
( p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),X1)
| ~ p22(c46,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( p39(X1,X2)
| ~ p22(c46,X3)
| ~ p22(X3,X2)
| ~ p4(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_50 ).
cnf(c_0_18,negated_conjecture,
( p39(f5(X1,X2),X3)
| ~ p2(c40,X1)
| ~ p22(c46,X4)
| ~ p22(X4,X3)
| ~ p3(f7(c41,f10(f13(f15(c42,c43),c44),c45)),X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
p3(f7(c41,f10(f13(f15(c42,X1),X2),X3)),f10(f13(f15(c42,f17(f19(f21(c47,X1),X2),X3)),f26(f28(f30(c48,X1),X2),X3)),f34(f36(f38(c49,X1),X2),X3))),
p3_67 ).
cnf(c_0_20,negated_conjecture,
( p39(f5(X1,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),X2)
| ~ p2(c40,X1)
| ~ p22(c46,X3)
| ~ p22(X3,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
p2(X1,X1),
p2_17 ).
cnf(c_0_22,negated_conjecture,
( p39(f5(c40,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),X1)
| ~ p22(c46,X2)
| ~ p22(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
p22(X1,X1),
p22_15 ).
cnf(c_0_24,negated_conjecture,
( p39(X1,X2)
| ~ p39(f5(c40,f10(f13(f15(c42,X1),X3),X4)),X2) ),
p39_63 ).
cnf(c_0_25,negated_conjecture,
( p39(f5(c40,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),X1)
| ~ p22(c46,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( p39(X1,X2)
| ~ p39(f17(f19(f21(c47,X1),X3),X4),X2) ),
p39_44 ).
cnf(c_0_27,negated_conjecture,
( p39(f17(f19(f21(c47,c43),c44),c45),X1)
| ~ p22(c46,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
not_p39_43 ).
cnf(c_0_29,negated_conjecture,
( p39(f5(c40,f10(f13(f15(c42,X1),X2),X3)),X4)
| ~ p39(X1,X4) ),
p39_64 ).
cnf(c_0_30,negated_conjecture,
( p39(c43,X1)
| ~ p22(c46,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
~ p39(c43,c46),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_23]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN691-1 : 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
% 0.14/0.33 % Computer : n022.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:43:21 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------