%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN690-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:35:30 PM UTC 2026
% Result : Unsatisfiable 180.07s 28.14s
% Output : Proof 180.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 53 ( 22 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 137 ( 61 ~; 76 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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 : 103 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f60,negated_conjecture,
( ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p35(f10(X33,X35),f30(f32(c42,X33),X34))
| ~ p34(c36,X33)
| p4(f5(f26(f28(c43,X33),X34),X35),f5(f26(f28(c44,X33),X34),X35))
| p2(X31,X32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_61) ).
fof(f60_nnf,plain,
! [X31,X32,X33,X34,X35] :
( ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p35(f10(X33,X35),f30(f32(c42,X33),X34))
| ~ p34(c36,X33)
| p4(f5(f26(f28(c43,X33),X34),X35),f5(f26(f28(c44,X33),X34),X35))
| p2(X31,X32) ),
inference(nnf_transformation,[status(thm)],[f60]) ).
fof(f60_sk,plain,
! [X31,X32,X33,X34,X35] :
( ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p35(f10(X33,X35),f30(f32(c42,X33),X34))
| ~ p34(c36,X33)
| p4(f5(f26(f28(c43,X33),X34),X35),f5(f26(f28(c44,X33),X34),X35))
| p2(X31,X32) ),
inference(skolemisation,[status(esa)],[f60_nnf]) ).
cnf(c60,plain,
( ~ p4(f5(X1,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X1),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X0),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p35(f10(X2,X4),f30(f32(c42,X2),X3))
| ~ p34(c36,X2)
| p4(f5(f26(f28(c43,X2),X3),X4),f5(f26(f28(c44,X2),X3),X4))
| p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f60_sk]) ).
cnf(f18,negated_conjecture,
p34(c36,c37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_19) ).
fof(f18_nnf,plain,
p34(c36,c37),
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c18,plain,
p34(c36,c37),
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
cnf(p116,plain,
( ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X1),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X0),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
| ~ p35(f10(c37,X3),f30(f32(c42,c37),X2))
| p4(f5(f26(f28(c43,c37),X2),X3),f5(f26(f28(c44,c37),X2),X3))
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c60,c18]) ).
cnf(f56,negated_conjecture,
( p35(f10(c37,f12(f14(f16(c41,X103),X104),X105)),X105)
| p4(f5(f7(c39,X103),X105),f5(f7(c39,X104),X105)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_57) ).
fof(f56_nnf,plain,
! [X103,X105,X104] :
( p35(f10(c37,f12(f14(f16(c41,X103),X104),X105)),X105)
| p4(f5(f7(c39,X103),X105),f5(f7(c39,X104),X105)) ),
inference(nnf_transformation,[status(thm)],[f56]) ).
fof(f56_sk,plain,
! [X103,X105,X104] :
( p35(f10(c37,f12(f14(f16(c41,X103),X104),X105)),X105)
| p4(f5(f7(c39,X103),X105),f5(f7(c39,X104),X105)) ),
inference(skolemisation,[status(esa)],[f56_nnf]) ).
cnf(c56,plain,
( p35(f10(c37,f12(f14(f16(c41,X0),X2),X1)),X1)
| p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1)) ),
inference(cnf_transformation,[status(esa)],[f56_sk]) ).
cnf(p161,plain,
( p4(f5(f7(c39,X3),f30(f32(c42,c37),X2)),f5(f7(c39,X4),f30(f32(c42,c37),X2)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X1),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X0),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
| p4(f5(f26(f28(c43,c37),X2),f12(f14(f16(c41,X3),X4),f30(f32(c42,c37),X2))),f5(f26(f28(c44,c37),X2),f12(f14(f16(c41,X3),X4),f30(f32(c42,c37),X2))))
| p2(X0,X1) ),
inference(resolution,[status(thm)],[p116,c56]) ).
cnf(f20,negated_conjecture,
p4(f5(c40,X114),f5(f7(c39,c40),X114)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_21) ).
fof(f20_nnf,plain,
! [X114] : p4(f5(c40,X114),f5(f7(c39,c40),X114)),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X114] : p4(f5(c40,X114),f5(f7(c39,c40),X114)),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
p4(f5(c40,X0),f5(f7(c39,c40),X0)),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p243,plain,
( p4(f5(f7(c39,X1),f30(f32(c42,c37),c39)),f5(f7(c39,X2),f30(f32(c42,c37),c39)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),c40),X0)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),c40),X0)))
| 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))))
| p2(c40,X0) ),
inference(resolution,[status(thm)],[p161,c20]) ).
cnf(f21,negated_conjecture,
p4(f5(c38,X113),f5(f7(c39,c38),X113)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_22) ).
fof(f21_nnf,plain,
! [X113] : p4(f5(c38,X113),f5(f7(c39,c38),X113)),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X113] : p4(f5(c38,X113),f5(f7(c39,c38),X113)),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
p4(f5(c38,X0),f5(f7(c39,c38),X0)),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p484,plain,
( p4(f5(f7(c39,X0),f30(f32(c42,c37),c39)),f5(f7(c39,X1),f30(f32(c42,c37),c39)))
| p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,X0),X1),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,X0),X1),f30(f32(c42,c37),c39))))
| p2(c40,c38) ),
inference(resolution,[status(thm)],[p243,c21]) ).
cnf(f57,negated_conjecture,
( ~ p4(f5(X103,f12(f14(f16(c41,X103),X104),X105)),f5(X104,f12(f14(f16(c41,X103),X104),X105)))
| p4(f5(f7(c39,X103),X105),f5(f7(c39,X104),X105)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).
fof(f57_nnf,plain,
! [X103,X105,X104] :
( ~ p4(f5(X103,f12(f14(f16(c41,X103),X104),X105)),f5(X104,f12(f14(f16(c41,X103),X104),X105)))
| p4(f5(f7(c39,X103),X105),f5(f7(c39,X104),X105)) ),
inference(nnf_transformation,[status(thm)],[f57]) ).
fof(f57_sk,plain,
! [X103,X105,X104] :
( ~ p4(f5(X103,f12(f14(f16(c41,X103),X104),X105)),f5(X104,f12(f14(f16(c41,X103),X104),X105)))
| p4(f5(f7(c39,X103),X105),f5(f7(c39,X104),X105)) ),
inference(skolemisation,[status(esa)],[f57_nnf]) ).
cnf(c57,plain,
( ~ p4(f5(X0,f12(f14(f16(c41,X0),X2),X1)),f5(X2,f12(f14(f16(c41,X0),X2),X1)))
| p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1)) ),
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
cnf(p1730,plain,
( 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)))
| 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)))
| p2(c40,c38) ),
inference(resolution,[status(thm)],[p484,c57]) ).
cnf(p5598,plain,
( 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)))
| p2(c40,c38) ),
inference(factoring,[status(thm)],[p1730]) ).
cnf(f61,negated_conjecture,
( ~ p4(f5(f7(X34,f26(f28(c43,X33),X34)),f30(f32(c42,X33),X34)),f5(f7(X34,f26(f28(c44,X33),X34)),f30(f32(c42,X33),X34)))
| ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p34(c36,X33)
| p2(X31,X32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_62) ).
fof(f61_nnf,plain,
! [X31,X32,X33,X34] :
( ~ p4(f5(f7(X34,f26(f28(c43,X33),X34)),f30(f32(c42,X33),X34)),f5(f7(X34,f26(f28(c44,X33),X34)),f30(f32(c42,X33),X34)))
| ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p34(c36,X33)
| p2(X31,X32) ),
inference(nnf_transformation,[status(thm)],[f61]) ).
fof(f61_sk,plain,
! [X31,X32,X33,X34] :
( ~ p4(f5(f7(X34,f26(f28(c43,X33),X34)),f30(f32(c42,X33),X34)),f5(f7(X34,f26(f28(c44,X33),X34)),f30(f32(c42,X33),X34)))
| ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p34(c36,X33)
| p2(X31,X32) ),
inference(skolemisation,[status(esa)],[f61_nnf]) ).
cnf(c61,plain,
( ~ p4(f5(f7(X3,f26(f28(c43,X2),X3)),f30(f32(c42,X2),X3)),f5(f7(X3,f26(f28(c44,X2),X3)),f30(f32(c42,X2),X3)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X1),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X0),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p34(c36,X2)
| p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f61_sk]) ).
cnf(p124,plain,
( ~ p4(f5(f7(X2,f26(f28(c43,c37),X2)),f30(f32(c42,c37),X2)),f5(f7(X2,f26(f28(c44,c37),X2)),f30(f32(c42,c37),X2)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X1),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X0),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c61,c18]) ).
cnf(p166,plain,
( ~ 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)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),c40),X0)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),c40),X0)))
| p2(c40,X0) ),
inference(resolution,[status(thm)],[p124,c20]) ).
cnf(p256,plain,
( ~ 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)))
| p2(c40,c38) ),
inference(resolution,[status(thm)],[p166,c21]) ).
cnf(p5600,plain,
( p2(c40,c38)
| p2(c40,c38) ),
inference(resolution,[status(thm)],[p5598,p256]) ).
cnf(p6190,plain,
p2(c40,c38),
inference(factoring,[status(thm)],[p5600]) ).
cnf(f35,negated_conjecture,
( ~ p2(X36,X38)
| ~ p2(X36,X37)
| p2(X37,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_36) ).
fof(f35_nnf,plain,
! [X37,X38,X36] :
( ~ p2(X36,X38)
| ~ p2(X36,X37)
| p2(X37,X38) ),
inference(nnf_transformation,[status(thm)],[f35]) ).
fof(f35_sk,plain,
! [X37,X38,X36] :
( ~ p2(X36,X38)
| ~ p2(X36,X37)
| p2(X37,X38) ),
inference(skolemisation,[status(esa)],[f35_nnf]) ).
cnf(c35,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f35_sk]) ).
cnf(p6191,plain,
( ~ p2(c40,X0)
| p2(c38,X0) ),
inference(resolution,[status(thm)],[p6190,c35]) ).
cnf(f13,negated_conjecture,
p2(X36,X36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
fof(f13_nnf,plain,
! [X36] : p2(X36,X36),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X36] : p2(X36,X36),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p6198,plain,
p2(c38,c40),
inference(resolution,[status(thm)],[p6191,c13]) ).
cnf(f19,negated_conjecture,
~ p2(c38,c40),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_20) ).
fof(f19_nnf,plain,
~ p2(c38,c40),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
~ p2(c38,c40),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
~ p2(c38,c40),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p6200,plain,
$false,
inference(resolution,[status(thm)],[p6198,c19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN690-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.36 % Computer : n003.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Fri Sep 25 02:07:44 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 180.07/28.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 180.07/28.14 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------