%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN618-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 03:35:20 PM UTC 2026
% Result : Unsatisfiable 6.03s 1.32s
% Output : Proof 6.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 44 unt; 0 def)
% Number of atoms : 96 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 42 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 67 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f23,negated_conjecture,
( ~ p2(X24,X26)
| ~ p2(X24,X25)
| p2(X25,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_24) ).
fof(f23_nnf,plain,
! [X25,X26,X24] :
( ~ p2(X24,X26)
| ~ p2(X24,X25)
| p2(X25,X26) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X25,X26,X24] :
( ~ p2(X24,X26)
| ~ p2(X24,X25)
| p2(X25,X26) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(hi22,negated_conjecture,
ifeq(p2(X0,X1),true,ifeq(p2(X0,X2),true,p2(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(f11,negated_conjecture,
p2(c17,f3(c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f11_nnf,plain,
p2(c17,f3(c16)),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
p2(c17,f3(c16)),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(hi11,negated_conjecture,
p2(c17,f3(c16)) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(f4,negated_conjecture,
p2(X24,X24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f4_nnf,plain,
! [X24] : p2(X24,X24),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X24] : p2(X24,X24),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi4,negated_conjecture,
p2(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h6,plain,
p2(f3(c16),c17) = true,
inference(hyper_resolution,[status(thm)],[hi22,hi11,hi4]) ).
cnf(f29,negated_conjecture,
( ~ p5(X41,X43)
| ~ p2(X40,X42)
| p5(f8(X40,X41),f8(X42,X43)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_30) ).
fof(f29_nnf,plain,
! [X40,X41,X42,X43] :
( ~ p5(X41,X43)
| ~ p2(X40,X42)
| p5(f8(X40,X41),f8(X42,X43)) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [X40,X41,X42,X43] :
( ~ p5(X41,X43)
| ~ p2(X40,X42)
| p5(f8(X40,X41),f8(X42,X43)) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( ~ p5(X1,X3)
| ~ p2(X0,X2)
| p5(f8(X0,X1),f8(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(hi28,negated_conjecture,
ifeq(p2(X0,X1),true,ifeq(p5(X2,X3),true,p5(f8(X0,X2),f8(X1,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c29]) ).
cnf(f2,negated_conjecture,
p5(X34,X34),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
fof(f2_nnf,plain,
! [X34] : p5(X34,X34),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X34] : p5(X34,X34),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
p5(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,negated_conjecture,
p5(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h20,plain,
p5(f8(f3(c16),V0),f8(c17,V0)) = true,
inference(hyper_resolution,[status(thm)],[hi28,h6,hi2]) ).
cnf(f21,negated_conjecture,
( ~ p5(X34,X36)
| ~ p5(X34,X35)
| p5(X35,X36) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_22) ).
fof(f21_nnf,plain,
! [X35,X36,X34] :
( ~ p5(X34,X36)
| ~ p5(X34,X35)
| p5(X35,X36) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X35,X36,X34] :
( ~ p5(X34,X36)
| ~ p5(X34,X35)
| p5(X35,X36) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( ~ p5(X2,X1)
| ~ p5(X2,X0)
| p5(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(hi20,negated_conjecture,
ifeq(p5(X0,X1),true,ifeq(p5(X0,X2),true,p5(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(f15,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_16) ).
fof(f15_nnf,plain,
p5(f8(f3(c16),c23),f6(f7(c22))),
inference(nnf_transformation,[status(thm)],[f15]) ).
cnf(c15,plain,
p5(f8(f3(c16),c23),f6(f7(c22))),
inference(cnf_transformation,[status(esa)],[f15_nnf]) ).
cnf(hi15,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(h198,plain,
p5(f8(c17,c23),f6(f7(c22))) = true,
inference(hyper_resolution,[status(thm)],[hi20,h20,hi15]) ).
cnf(f30,negated_conjecture,
( ~ p5(f8(c17,X37),f6(f7(c22)))
| ~ p13(c19,X37)
| ~ p13(X37,c21)
| p5(X37,c20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_31) ).
fof(f30_nnf,plain,
! [X37] :
( ~ p5(f8(c17,X37),f6(f7(c22)))
| ~ p13(c19,X37)
| ~ p13(X37,c21)
| p5(X37,c20) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X37] :
( ~ p5(f8(c17,X37),f6(f7(c22)))
| ~ p13(c19,X37)
| ~ p13(X37,c21)
| p5(X37,c20) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ~ p5(f8(c17,X0),f6(f7(c22)))
| ~ p13(c19,X0)
| ~ p13(X0,c21)
| p5(X0,c20) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(hi29,negated_conjecture,
ifeq(p13(X0,c21),true,ifeq(p13(c19,X0),true,ifeq(p5(f8(c17,X0),f6(f7(c22))),true,p5(X0,c20),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(f7,negated_conjecture,
p13(c23,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_8) ).
fof(f7_nnf,plain,
p13(c23,c21),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
p13(c23,c21),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(hi7,negated_conjecture,
p13(c23,c21) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(f8,negated_conjecture,
p13(c19,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_9) ).
fof(f8_nnf,plain,
p13(c19,c23),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
p13(c19,c23),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(hi8,negated_conjecture,
p13(c19,c23) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(h456,plain,
p5(c23,c20) = true,
inference(hyper_resolution,[status(thm)],[hi29,hi7,hi8,h198]) ).
cnf(h520,plain,
p5(f8(V0,c23),f8(V0,c20)) = true,
inference(hyper_resolution,[status(thm)],[hi28,hi4,h456]) ).
cnf(t35,plain,
p5(f8(f3(c16),c20),f6(f7(c22))) = true,
inference(hyper_resolution,[status(thm)],[hi20,h520,hi15]) ).
cnf(t306,plain,
p5(f8(f3(c16),c20),f6(f7(c22))) = true,
inference(orient,[status(thm)],[t35]) ).
cnf(f16,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p5_17) ).
fof(f16_nnf,plain,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(goal_0,negated_conjecture,
p5(f8(f3(c16),c20),f6(f7(c22))) != true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t306]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN618-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 01:50:02 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.03/1.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.03/1.32 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------