%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN650-1 : 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 : n010.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 05:39:50 PM UTC 2026
% Result : Unsatisfiable 6.49s 4.35s
% Output : CNFRefutation 6.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 39 ( 20 unt; 5 nHn; 32 RR)
% Number of literals : 87 ( 0 equ; 44 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 : 21 ( 21 usr; 7 con; 0-5 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p25_25,negated_conjecture,
( p25(X1,X2)
| ~ p8(X3,X1)
| ~ p8(X4,X2)
| ~ p25(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_25) ).
cnf(p25_40,negated_conjecture,
( p25(f16(f17(X1,f9(f11(X2,f12(X3,X4)),c31,X1))),f16(f17(X1,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p24(X5,f20(f11(X2,f12(X3,X4)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_40) ).
cnf(p8_44,negated_conjecture,
( p8(X1,f9(f11(X2,f12(X3,X4)),c31,X5))
| p24(f21(X2,X3,X4,X5,X1),f20(f11(X2,f12(X3,X4))))
| p23(f18(f11(X2,f12(X3,X4)),f9(f11(X2,f12(X3,X4)),c31,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p24(X1,f20(f11(X2,f12(X3,X4)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_44) ).
cnf(p24_10,negated_conjecture,
p24(c33,f20(f11(c29,f12(c27,c30)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_10) ).
cnf(p22_8,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_8) ).
cnf(p8_18,negated_conjecture,
( p8(X1,X2)
| ~ p8(X3,X1)
| ~ p8(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_18) ).
cnf(p8_2,negated_conjecture,
p8(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_2) ).
cnf(f18_is_not_p23_34,negated_conjecture,
~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f18_is_not_p23_34) ).
cnf(not_p8_24,negated_conjecture,
~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_24) ).
cnf(p8_35,negated_conjecture,
p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_35) ).
cnf(p8_38,negated_conjecture,
p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_38) ).
cnf(p8_45,negated_conjecture,
( p8(X1,f9(f11(X2,f12(X3,X4)),c31,X5))
| p23(f18(f11(X2,f12(X3,X4)),f9(f11(X2,f12(X3,X4)),c31,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p24(X1,f20(f11(X2,f12(X3,X4))))
| ~ p25(f16(f17(X5,X1)),f16(f17(X5,f21(X2,X3,X4,X5,X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_45) ).
cnf(c_0_12,negated_conjecture,
( p25(X1,X2)
| ~ p8(X3,X1)
| ~ p8(X4,X2)
| ~ p25(X3,X4) ),
p25_25 ).
cnf(c_0_13,negated_conjecture,
( p25(f16(f17(X1,f9(f11(X2,f12(X3,X4)),c31,X1))),f16(f17(X1,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p24(X5,f20(f11(X2,f12(X3,X4)))) ),
p25_40 ).
cnf(c_0_14,negated_conjecture,
( p8(X1,f9(f11(X2,f12(X3,X4)),c31,X5))
| p24(f21(X2,X3,X4,X5,X1),f20(f11(X2,f12(X3,X4))))
| p23(f18(f11(X2,f12(X3,X4)),f9(f11(X2,f12(X3,X4)),c31,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p24(X1,f20(f11(X2,f12(X3,X4)))) ),
p8_44 ).
cnf(c_0_15,negated_conjecture,
p24(c33,f20(f11(c29,f12(c27,c30)))),
p24_10 ).
cnf(c_0_16,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
p22_8 ).
cnf(c_0_17,negated_conjecture,
( p8(X1,X2)
| ~ p8(X3,X1)
| ~ p8(X3,X2) ),
p8_18 ).
cnf(c_0_18,negated_conjecture,
p8(X1,X1),
p8_2 ).
cnf(c_0_19,negated_conjecture,
( p25(X1,X2)
| ~ p24(X3,f20(f11(X4,f12(X5,X6))))
| ~ p22(f3(f4(f5(c26))),X5)
| ~ p8(f16(f17(X7,f9(f11(X4,f12(X5,X6)),c31,X7))),X1)
| ~ p8(f16(f17(X7,X3)),X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,negated_conjecture,
~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
f18_is_not_p23_34 ).
cnf(c_0_21,negated_conjecture,
( p24(f21(c29,c27,c30,X1,c33),f20(f11(c29,f12(c27,c30))))
| p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,X1)))
| p8(c33,f9(f11(c29,f12(c27,c30)),c31,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_22,negated_conjecture,
~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)),
not_p8_24 ).
cnf(c_0_23,negated_conjecture,
( p8(X1,X2)
| ~ p8(X2,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
p8_35 ).
cnf(c_0_25,negated_conjecture,
( p25(f16(f17(X1,f9(f11(X2,f12(X3,X4)),c31,X1))),X5)
| ~ p24(X6,f20(f11(X2,f12(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p8(f16(f17(X1,X6)),X5) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
p24(f21(c29,c27,c30,c32,c33),f20(f11(c29,f12(c27,c30)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_27,negated_conjecture,
p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,c33))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
p8_38 ).
cnf(c_0_29,negated_conjecture,
( p25(f16(f17(X1,f9(f11(c29,f12(c27,c30)),c31,X1))),X2)
| ~ p8(f16(f17(X1,f21(c29,c27,c30,c32,c33))),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_16])]) ).
cnf(c_0_30,negated_conjecture,
( p8(X1,f16(f17(c32,c33)))
| ~ p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32)))),
inference(spm,[status(thm)],[c_0_23,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( p25(X1,X2)
| ~ p8(f16(f17(X3,f9(f11(c29,f12(c27,c30)),c31,X3))),X1)
| ~ p8(f16(f17(X3,f21(c29,c27,c30,c32,c33))),X4)
| ~ p8(X4,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,c33))),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( p25(f16(f17(c32,c33)),X1)
| ~ p8(f16(f17(c32,f21(c29,c27,c30,c32,c33))),X2)
| ~ p8(X2,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,negated_conjecture,
( p25(f16(f17(c32,c33)),X1)
| ~ p8(f16(f17(c32,f21(c29,c27,c30,c32,c33))),X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_18]) ).
cnf(c_0_36,negated_conjecture,
( p8(X1,f9(f11(X2,f12(X3,X4)),c31,X5))
| p23(f18(f11(X2,f12(X3,X4)),f9(f11(X2,f12(X3,X4)),c31,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p24(X1,f20(f11(X2,f12(X3,X4))))
| ~ p25(f16(f17(X5,X1)),f16(f17(X5,f21(X2,X3,X4,X5,X1)))) ),
p8_45 ).
cnf(c_0_37,negated_conjecture,
p25(f16(f17(c32,c33)),f16(f17(c32,f21(c29,c27,c30,c32,c33)))),
inference(spm,[status(thm)],[c_0_35,c_0_18]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_15]),c_0_16])]),c_0_20]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN650-1 : 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 : n010.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 08:42:21 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 6.49/4.35 % Version : CSE_E---1.7
% 6.49/4.35 % Problem : theBenchmark.p
% 6.49/4.35 % SZS status Unsatisfiable for theBenchmark.p
% 6.49/4.35 % SZS output start CNFRefutation
% See solution above
% 6.49/4.37 % Total time : 3.371s
%------------------------------------------------------------------------------