%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN645-1 : 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 05:39:49 PM UTC 2026
% Result : Unsatisfiable 3.60s 3.02s
% Output : CNFRefutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 35 ( 14 unt; 5 nHn; 28 RR)
% Number of literals : 87 ( 0 equ; 48 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-5 aty)
% Number of variables : 76 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p25_23,negated_conjecture,
( p25(X1,X2)
| ~ p12(X3,X2)
| ~ p25(X4,X3)
| ~ p12(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_23) ).
cnf(p25_37,negated_conjecture,
( p25(f13(f14(X1,f16(f10(X2,f11(X3,X4)),c32,X1))),f13(f14(X1,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X5,f8(f10(X2,f11(X3,X4)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_37) ).
cnf(p12_41,negated_conjecture,
( p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5))
| p23(f21(X2,X3,X4,X5,X1),f8(f10(X2,f11(X3,X4))))
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X1,f8(f10(X2,f11(X3,X4)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_41) ).
cnf(p23_9,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_9) ).
cnf(p22_7,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_7) ).
cnf(p12_1,negated_conjecture,
p12(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_1) ).
cnf(f17_is_not_p24_32,negated_conjecture,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f17_is_not_p24_32) ).
cnf(not_p12_22,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_22) ).
cnf(p12_16,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X1)
| ~ p12(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_16) ).
cnf(p12_33,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_33) ).
cnf(p12_42,negated_conjecture,
( p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5))
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| ~ p25(f13(f14(X5,X1)),f13(f14(X5,f21(X2,X3,X4,X5,X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_42) ).
cnf(c_0_11,negated_conjecture,
( p25(X1,X2)
| ~ p12(X3,X2)
| ~ p25(X4,X3)
| ~ p12(X4,X1) ),
p25_23 ).
cnf(c_0_12,negated_conjecture,
( p25(f13(f14(X1,f16(f10(X2,f11(X3,X4)),c32,X1))),f13(f14(X1,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X5,f8(f10(X2,f11(X3,X4)))) ),
p25_37 ).
cnf(c_0_13,negated_conjecture,
( p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5))
| p23(f21(X2,X3,X4,X5,X1),f8(f10(X2,f11(X3,X4))))
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X1,f8(f10(X2,f11(X3,X4)))) ),
p12_41 ).
cnf(c_0_14,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))),
p23_9 ).
cnf(c_0_15,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
p22_7 ).
cnf(c_0_16,negated_conjecture,
( p25(X1,X2)
| ~ p23(X3,f8(f10(X4,f11(X5,X6))))
| ~ p22(f3(f4(f5(c26))),X5)
| ~ p12(f13(f14(X7,f16(f10(X4,f11(X5,X6)),c32,X7))),X1)
| ~ p12(f13(f14(X7,X3)),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
p12(X1,X1),
p12_1 ).
cnf(c_0_18,negated_conjecture,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
f17_is_not_p24_32 ).
cnf(c_0_19,negated_conjecture,
( p23(f21(c29,c27,c30,X1,c28),f8(f10(c29,f11(c27,c30))))
| p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,X1)))
| p12(c28,f16(f10(c29,f11(c27,c30)),c32,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_20,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
not_p12_22 ).
cnf(c_0_21,negated_conjecture,
( p25(f13(f14(X1,f16(f10(X2,f11(X3,X4)),c32,X1))),X5)
| ~ p23(X6,f8(f10(X2,f11(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p12(f13(f14(X1,X6)),X5) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_23,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X1)
| ~ p12(X3,X2) ),
p12_16 ).
cnf(c_0_24,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
p12_33 ).
cnf(c_0_25,negated_conjecture,
( p25(f13(f14(X1,f16(f10(c29,f11(c27,c30)),c32,X1))),X2)
| ~ p12(f13(f14(X1,f21(c29,c27,c30,c31,c28))),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_15])]) ).
cnf(c_0_26,negated_conjecture,
( p12(X1,X2)
| ~ p12(X2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_17]) ).
cnf(c_0_27,negated_conjecture,
( p12(X1,f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))
| ~ p12(f13(f14(c31,c28)),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( p25(X1,X2)
| ~ p12(f13(f14(X3,f16(f10(c29,f11(c27,c30)),c32,X3))),X1)
| ~ p12(f13(f14(X3,f21(c29,c27,c30,c31,c28))),X4)
| ~ p12(X4,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),X1)
| ~ p12(f13(f14(c31,c28)),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( p25(X1,X2)
| ~ p12(f13(f14(c31,f21(c29,c27,c30,c31,c28))),X3)
| ~ p12(f13(f14(c31,c28)),X1)
| ~ p12(X3,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
( p25(X1,X2)
| ~ p12(f13(f14(c31,f21(c29,c27,c30,c31,c28))),X2)
| ~ p12(f13(f14(c31,c28)),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_17]) ).
cnf(c_0_32,negated_conjecture,
( p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5))
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| ~ p25(f13(f14(X5,X1)),f13(f14(X5,f21(X2,X3,X4,X5,X1)))) ),
p12_42 ).
cnf(c_0_33,negated_conjecture,
( p25(X1,f13(f14(c31,f21(c29,c27,c30,c31,c28))))
| ~ p12(f13(f14(c31,c28)),X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_17]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_14]),c_0_15]),c_0_17])]),c_0_18]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN645-1 : 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 : n006.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 08:42:46 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 3.60/3.02 % Version : CSE_E---1.7
% 3.60/3.02 % Problem : theBenchmark.p
% 3.60/3.02 % SZS status Unsatisfiable for theBenchmark.p
% 3.60/3.02 % SZS output start CNFRefutation
% See solution above
% 3.73/3.02 % Total time : 2.372s
%------------------------------------------------------------------------------