%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN719-1 : 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 : n011.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 05:39:58 PM UTC 2026
% Result : Unsatisfiable 1.44s 1.77s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of clauses : 66 ( 26 unt; 0 nHn; 44 RR)
% Number of literals : 143 ( 0 equ; 79 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 15 con; 0-2 aty)
% Number of variables : 129 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p14_90,negated_conjecture,
( p14(X1,X2)
| ~ p14(X3,X1)
| ~ p14(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_90) ).
cnf(p14_38,negated_conjecture,
p14(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_38) ).
cnf(p67_96,negated_conjecture,
( p67(X1,X2)
| ~ p67(X3,X4)
| ~ p7(X4,X2)
| ~ p15(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p67_96) ).
cnf(p67_42,negated_conjecture,
p67(f16(c80,c81),c82),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p67_42) ).
cnf(p14_45,negated_conjecture,
p14(f23(f26(c84,c85),X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_45) ).
cnf(p15_37,negated_conjecture,
p15(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_37) ).
cnf(p69_98,negated_conjecture,
( p69(X1,X2)
| ~ p35(X3,X1)
| ~ p69(X3,X4)
| ~ p29(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p69_98) ).
cnf(p69_52,negated_conjecture,
( p69(f36(c86,X1),X2)
| ~ p70(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p69_52) ).
cnf(p68_48,negated_conjecture,
( p68(X1,X2)
| ~ p67(f16(c80,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p68_48) ).
cnf(p35_22,negated_conjecture,
p35(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35_22) ).
cnf(p68_97,negated_conjecture,
( p68(X1,X2)
| ~ p68(X3,X4)
| ~ p7(X3,X1)
| ~ p14(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p68_97) ).
cnf(p70_43,negated_conjecture,
p70(f30(c88,X1),f38(c85,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p70_43) ).
cnf(p14_124,negated_conjecture,
( p14(f23(X1,X2),f23(X3,X4))
| ~ p14(X2,X4)
| ~ p22(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_124) ).
cnf(p67_50,negated_conjecture,
( p67(f16(c80,X1),X2)
| ~ p68(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p67_50) ).
cnf(p29_27,negated_conjecture,
p29(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_27) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
cnf(p68_126,negated_conjecture,
( p68(f19(f21(c83,c77),X1),X2)
| ~ p67(f16(c80,X3),c82)
| ~ p66(f12(c78,c77),X1)
| ~ p14(X2,f23(f26(c84,X4),X3))
| ~ p69(f36(c86,f38(X4,f40(f42(f44(f46(c87,X1),X2),X4),X3))),f30(c88,f32(c89,f8(c75,c76)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p68_126) ).
cnf(p22_32,negated_conjecture,
p22(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_32) ).
cnf(not_p68_46,negated_conjecture,
~ p68(f19(f21(c83,c77),c79),c81),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p68_46) ).
cnf(p66_41,negated_conjecture,
p66(f12(c78,c77),c79),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p66_41) ).
cnf(c_0_20,negated_conjecture,
( p14(X1,X2)
| ~ p14(X3,X1)
| ~ p14(X3,X2) ),
p14_90 ).
cnf(c_0_21,negated_conjecture,
p14(X1,X1),
p14_38 ).
cnf(c_0_22,negated_conjecture,
( p67(X1,X2)
| ~ p67(X3,X4)
| ~ p7(X4,X2)
| ~ p15(X3,X1) ),
p67_96 ).
cnf(c_0_23,negated_conjecture,
p67(f16(c80,c81),c82),
p67_42 ).
cnf(c_0_24,negated_conjecture,
p14(f23(f26(c84,c85),X1),X1),
p14_45 ).
cnf(c_0_25,negated_conjecture,
( p14(X1,X2)
| ~ p14(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( p67(X1,X2)
| ~ p15(f16(c80,c81),X1)
| ~ p7(c82,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
p15(X1,X1),
p15_37 ).
cnf(c_0_28,negated_conjecture,
( p69(X1,X2)
| ~ p35(X3,X1)
| ~ p69(X3,X4)
| ~ p29(X4,X2) ),
p69_98 ).
cnf(c_0_29,negated_conjecture,
( p69(f36(c86,X1),X2)
| ~ p70(X2,X1) ),
p69_52 ).
cnf(c_0_30,negated_conjecture,
( p14(X1,X2)
| ~ p14(f23(f26(c84,c85),X2),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
p14(X1,f23(f26(c84,c85),X1)),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( p68(X1,X2)
| ~ p67(f16(c80,X2),X1) ),
p68_48 ).
cnf(c_0_33,negated_conjecture,
( p67(f16(c80,c81),X1)
| ~ p7(c82,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( p69(X1,X2)
| ~ p70(X3,X4)
| ~ p29(X3,X2)
| ~ p35(f36(c86,X4),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
p35(X1,X1),
p35_22 ).
cnf(c_0_36,negated_conjecture,
p14(f23(f26(c84,c85),f23(f26(c84,c85),X1)),X1),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( p68(X1,X2)
| ~ p68(X3,X4)
| ~ p7(X3,X1)
| ~ p14(X4,X2) ),
p68_97 ).
cnf(c_0_38,negated_conjecture,
( p68(X1,c81)
| ~ p7(c82,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( p69(f36(c86,X1),X2)
| ~ p70(X3,X1)
| ~ p29(X3,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
p70(f30(c88,X1),f38(c85,X2)),
p70_43 ).
cnf(c_0_41,negated_conjecture,
( p14(X1,X2)
| ~ p14(f23(f26(c84,c85),f23(f26(c84,c85),X2)),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( p14(f23(X1,X2),f23(X3,X4))
| ~ p14(X2,X4)
| ~ p22(X1,X3) ),
p14_124 ).
cnf(c_0_43,negated_conjecture,
( p67(f16(c80,X1),X2)
| ~ p68(X2,X1) ),
p67_50 ).
cnf(c_0_44,negated_conjecture,
( p68(X1,X2)
| ~ p14(c81,X2)
| ~ p7(c82,X3)
| ~ p7(X3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( p69(f36(c86,f38(c85,X1)),X2)
| ~ p29(f30(c88,X3),X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,negated_conjecture,
p29(X1,X1),
p29_27 ).
cnf(c_0_47,negated_conjecture,
( p14(f23(X1,X2),X3)
| ~ p14(f23(f26(c84,c85),X3),X2)
| ~ p22(f26(c84,c85),X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( p67(X1,X2)
| ~ p68(X3,X4)
| ~ p15(f16(c80,X4),X1)
| ~ p7(X3,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( p68(X1,f23(f26(c84,c85),c81))
| ~ p7(c82,X2)
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_31]) ).
cnf(c_0_50,negated_conjecture,
p7(X1,X1),
p7_3 ).
cnf(c_0_51,negated_conjecture,
( p68(f19(f21(c83,c77),X1),X2)
| ~ p67(f16(c80,X3),c82)
| ~ p66(f12(c78,c77),X1)
| ~ p14(X2,f23(f26(c84,X4),X3))
| ~ p69(f36(c86,f38(X4,f40(f42(f44(f46(c87,X1),X2),X4),X3))),f30(c88,f32(c89,f8(c75,c76)))) ),
p68_126 ).
cnf(c_0_52,negated_conjecture,
p69(f36(c86,f38(c85,X1)),f30(c88,X2)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,negated_conjecture,
( p14(f23(X1,f23(f26(c84,c85),X2)),X2)
| ~ p22(f26(c84,c85),X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_21]) ).
cnf(c_0_54,negated_conjecture,
( p67(f16(c80,X1),X2)
| ~ p68(X3,X1)
| ~ p7(X3,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_55,negated_conjecture,
( p68(X1,f23(f26(c84,c85),c81))
| ~ p7(c82,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( p68(f19(f21(c83,c77),X1),X2)
| ~ p67(f16(c80,X3),c82)
| ~ p66(f12(c78,c77),X1)
| ~ p14(X2,f23(f26(c84,c85),X3)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
( p14(X1,f23(X2,f23(f26(c84,c85),X1)))
| ~ p22(f26(c84,c85),X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
p22(X1,X1),
p22_32 ).
cnf(c_0_59,negated_conjecture,
( p67(f16(c80,f23(f26(c84,c85),c81)),X1)
| ~ p7(c82,X2)
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,negated_conjecture,
( p68(f19(f21(c83,c77),X1),X2)
| ~ p67(f16(c80,f23(f26(c84,c85),X2)),c82)
| ~ p66(f12(c78,c77),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_61,negated_conjecture,
( p67(f16(c80,f23(f26(c84,c85),c81)),X1)
| ~ p7(c82,X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_50]) ).
cnf(c_0_62,negated_conjecture,
~ p68(f19(f21(c83,c77),c79),c81),
not_p68_46 ).
cnf(c_0_63,negated_conjecture,
( p68(f19(f21(c83,c77),X1),c81)
| ~ p66(f12(c78,c77),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_50])]) ).
cnf(c_0_64,negated_conjecture,
p66(f12(c78,c77),c79),
p66_41 ).
cnf(c_0_65,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN719-1 : 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
% 0.16/0.33 % Computer : n011.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 08:43:32 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.44/1.77 % Version : CSE_E---1.7
% 1.44/1.77 % Problem : theBenchmark.p
% 1.44/1.77 % SZS status Unsatisfiable for theBenchmark.p
% 1.44/1.77 % SZS output start CNFRefutation
% See solution above
% 1.44/1.77 % Total time : 1.370s
%------------------------------------------------------------------------------