%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN687-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.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 03:35:29 PM UTC 2026
% Result : Unsatisfiable 25.28s 8.69s
% Output : Proof 25.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 10 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 61 ( 26 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f56,negated_conjecture,
( ~ p35(f12(X116,X118),f30(f32(c45,X116),X117))
| ~ p34(c36,X116)
| p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119))
| p4(f5(f26(f28(c46,X116),X117),X118),f5(f26(f28(c47,X116),X117),X118)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_57) ).
fof(f56_nnf,plain,
! [X116,X117,X118,X119] :
( ~ p35(f12(X116,X118),f30(f32(c45,X116),X117))
| ~ p34(c36,X116)
| p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119))
| p4(f5(f26(f28(c46,X116),X117),X118),f5(f26(f28(c47,X116),X117),X118)) ),
inference(nnf_transformation,[status(thm)],[f56]) ).
fof(f56_sk,plain,
! [X116,X117,X118,X119] :
( ~ p35(f12(X116,X118),f30(f32(c45,X116),X117))
| ~ p34(c36,X116)
| p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119))
| p4(f5(f26(f28(c46,X116),X117),X118),f5(f26(f28(c47,X116),X117),X118)) ),
inference(skolemisation,[status(esa)],[f56_nnf]) ).
cnf(c56,plain,
( ~ p35(f12(X0,X2),f30(f32(c45,X0),X1))
| ~ p34(c36,X0)
| p4(f5(f26(f28(c46,X0),X1),X3),f5(f9(X1,f26(f28(c46,X0),X1)),X3))
| p4(f5(f26(f28(c46,X0),X1),X2),f5(f26(f28(c47,X0),X1),X2)) ),
inference(cnf_transformation,[status(esa)],[f56_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(p78,plain,
( ~ p35(f12(c37,X1),f30(f32(c45,c37),X0))
| p4(f5(f26(f28(c46,c37),X0),X2),f5(f9(X0,f26(f28(c46,c37),X0)),X2))
| p4(f5(f26(f28(c46,c37),X0),X1),f5(f26(f28(c47,c37),X0),X1)) ),
inference(resolution,[status(thm)],[c56,c18]) ).
cnf(f54,negated_conjecture,
( p35(f12(c37,f14(f16(f18(c40,X106),X107),X108)),X108)
| p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_55) ).
fof(f54_nnf,plain,
! [X106,X108,X107] :
( p35(f12(c37,f14(f16(f18(c40,X106),X107),X108)),X108)
| p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108)) ),
inference(nnf_transformation,[status(thm)],[f54]) ).
fof(f54_sk,plain,
! [X106,X108,X107] :
( p35(f12(c37,f14(f16(f18(c40,X106),X107),X108)),X108)
| p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108)) ),
inference(skolemisation,[status(esa)],[f54_nnf]) ).
cnf(c54,plain,
( p35(f12(c37,f14(f16(f18(c40,X0),X2),X1)),X1)
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ),
inference(cnf_transformation,[status(esa)],[f54_sk]) ).
cnf(p79,plain,
( p4(f5(f9(c39,X1),f30(f32(c45,c37),X0)),f5(f9(c39,X2),f30(f32(c45,c37),X0)))
| p4(f5(f26(f28(c46,c37),X0),X3),f5(f9(X0,f26(f28(c46,c37),X0)),X3))
| p4(f5(f26(f28(c46,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0))),f5(f26(f28(c47,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0)))) ),
inference(resolution,[status(thm)],[p78,c54]) ).
cnf(f39,negated_conjecture,
~ p4(f5(X130,f7(c38,X130)),f5(f9(c39,X130),f7(c38,X130))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_40) ).
fof(f39_nnf,plain,
! [X130] : ~ p4(f5(X130,f7(c38,X130)),f5(f9(c39,X130),f7(c38,X130))),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
! [X130] : ~ p4(f5(X130,f7(c38,X130)),f5(f9(c39,X130),f7(c38,X130))),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c39,plain,
~ p4(f5(X0,f7(c38,X0)),f5(f9(c39,X0),f7(c38,X0))),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(p83,plain,
( p4(f5(f9(c39,X0),f30(f32(c45,c37),c39)),f5(f9(c39,X1),f30(f32(c45,c37),c39)))
| p4(f5(f26(f28(c46,c37),c39),f14(f16(f18(c40,X0),X1),f30(f32(c45,c37),c39))),f5(f26(f28(c47,c37),c39),f14(f16(f18(c40,X0),X1),f30(f32(c45,c37),c39)))) ),
inference(resolution,[status(thm)],[p79,c39]) ).
cnf(f55,negated_conjecture,
( ~ p4(f5(X106,f14(f16(f18(c40,X106),X107),X108)),f5(X107,f14(f16(f18(c40,X106),X107),X108)))
| p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_56) ).
fof(f55_nnf,plain,
! [X106,X108,X107] :
( ~ p4(f5(X106,f14(f16(f18(c40,X106),X107),X108)),f5(X107,f14(f16(f18(c40,X106),X107),X108)))
| p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108)) ),
inference(nnf_transformation,[status(thm)],[f55]) ).
fof(f55_sk,plain,
! [X106,X108,X107] :
( ~ p4(f5(X106,f14(f16(f18(c40,X106),X107),X108)),f5(X107,f14(f16(f18(c40,X106),X107),X108)))
| p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108)) ),
inference(skolemisation,[status(esa)],[f55_nnf]) ).
cnf(c55,plain,
( ~ p4(f5(X0,f14(f16(f18(c40,X0),X2),X1)),f5(X2,f14(f16(f18(c40,X0),X2),X1)))
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ),
inference(cnf_transformation,[status(esa)],[f55_sk]) ).
cnf(p88,plain,
( p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))
| p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))) ),
inference(resolution,[status(thm)],[p83,c55]) ).
cnf(p89,plain,
p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),
inference(factoring,[status(thm)],[p88]) ).
cnf(f57,negated_conjecture,
( ~ p4(f5(f9(X117,f26(f28(c46,X116),X117)),f30(f32(c45,X116),X117)),f5(f9(X117,f26(f28(c47,X116),X117)),f30(f32(c45,X116),X117)))
| ~ p34(c36,X116)
| p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).
fof(f57_nnf,plain,
! [X116,X117,X119] :
( ~ p4(f5(f9(X117,f26(f28(c46,X116),X117)),f30(f32(c45,X116),X117)),f5(f9(X117,f26(f28(c47,X116),X117)),f30(f32(c45,X116),X117)))
| ~ p34(c36,X116)
| p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119)) ),
inference(nnf_transformation,[status(thm)],[f57]) ).
fof(f57_sk,plain,
! [X116,X117,X119] :
( ~ p4(f5(f9(X117,f26(f28(c46,X116),X117)),f30(f32(c45,X116),X117)),f5(f9(X117,f26(f28(c47,X116),X117)),f30(f32(c45,X116),X117)))
| ~ p34(c36,X116)
| p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119)) ),
inference(skolemisation,[status(esa)],[f57_nnf]) ).
cnf(c57,plain,
( ~ p4(f5(f9(X1,f26(f28(c46,X0),X1)),f30(f32(c45,X0),X1)),f5(f9(X1,f26(f28(c47,X0),X1)),f30(f32(c45,X0),X1)))
| ~ p34(c36,X0)
| p4(f5(f26(f28(c46,X0),X1),X2),f5(f9(X1,f26(f28(c46,X0),X1)),X2)) ),
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
cnf(p80,plain,
( ~ p4(f5(f9(X0,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(X0,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0)))
| p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1)) ),
inference(resolution,[status(thm)],[c57,c18]) ).
cnf(p91,plain,
p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0)),
inference(resolution,[status(thm)],[p89,p80]) ).
cnf(p93,plain,
$false,
inference(resolution,[status(thm)],[p91,c39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN687-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.38 % Computer : n014.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Fri Sep 25 02:05:08 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 25.28/8.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.28/8.69 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------