%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN246-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 03:34:10 PM UTC 2026
% Result : Unsatisfiable 3.77s 1.03s
% Output : Proof 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 20 unt; 0 def)
% Number of atoms : 32 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 14 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 10 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f31,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f31_nnf,plain,
k0(b),
inference(nnf_transformation,[status(thm)],[f31]) ).
cnf(c31,plain,
k0(b),
inference(cnf_transformation,[status(esa)],[f31_nnf]) ).
cnf(hi31,axiom,
k0(b) = true,
inference(equality_encoding,[status(esa)],[c31]) ).
cnf(h1,plain,
k0(b) = true,
inference(hyper_resolution,[status(thm)],[hi31]) ).
cnf(f23,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f23_nnf,plain,
l0(c),
inference(nnf_transformation,[status(thm)],[f23]) ).
cnf(c23,plain,
l0(c),
inference(cnf_transformation,[status(esa)],[f23_nnf]) ).
cnf(hi23,axiom,
l0(c) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(h0,plain,
l0(c) = true,
inference(hyper_resolution,[status(thm)],[hi23]) ).
cnf(f58,axiom,
( ~ k0(J)
| ~ l0(I)
| m1(I,J,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_021) ).
fof(f58_nnf,plain,
! [I,J] :
( ~ k0(J)
| ~ l0(I)
| m1(I,J,I) ),
inference(nnf_transformation,[status(thm)],[f58]) ).
fof(f58_sk,plain,
! [I,J] :
( ~ k0(J)
| ~ l0(I)
| m1(I,J,I) ),
inference(skolemisation,[status(esa)],[f58_nnf]) ).
cnf(c58,plain,
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f58_sk]) ).
cnf(hi58,axiom,
ifeq(l0(X0),true,ifeq(k0(X1),true,m1(X0,X1,X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c58]) ).
cnf(t0,plain,
m1(c,b,c) = true,
inference(hyper_resolution,[status(thm)],[hi58,h0,h1]) ).
cnf(t4,plain,
m1(c,b,c) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f368,negated_conjecture,
~ m1(c,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ m1(c,b,c),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ m1(c,b,c),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ m1(c,b,c),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
m1(c,b,c) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t4]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN246-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 00:39:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.77/1.03 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.77/1.03 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------