%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN146-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 03:33:55 PM UTC 2026
% Result : Unsatisfiable 6.19s 1.47s
% Output : Proof 6.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 21 unt; 0 def)
% Number of atoms : 29 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 14 ( 8 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f368,negated_conjecture,
~ n1(X,c,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
! [X,Y] : ~ n1(X,c,Y),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
! [X,Y] : ~ n1(X,c,Y),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ n1(X0,c,X1),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(t12,plain,
eq(n1(X1,c,X2),true) = efalse,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(t66,plain,
eq(n1(X1,c,X2),true) = efalse,
inference(orient,[status(thm)],[t12]) ).
cnf(f86,axiom,
( ~ l0(c)
| n1(c,c,c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_049) ).
fof(f86_nnf,plain,
( ~ l0(c)
| n1(c,c,c) ),
inference(nnf_transformation,[status(thm)],[f86]) ).
fof(f86_sk,plain,
( ~ l0(c)
| n1(c,c,c) ),
inference(skolemisation,[status(esa)],[f86_nnf]) ).
cnf(c86,plain,
( ~ l0(c)
| n1(c,c,c) ),
inference(cnf_transformation,[status(esa)],[f86_sk]) ).
cnf(hi85,axiom,
ifeq(l0(c),true,n1(c,c,c),true) = true,
inference(equality_encoding,[status(esa)],[c86]) ).
cnf(f23,axiom,
l0(c),
file('/export/starexec/sandbox/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(t5,plain,
n1(c,c,c) = true,
inference(hyper_resolution,[status(thm)],[hi85,hi23]) ).
cnf(t64,plain,
n1(c,c,c) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t67,plain,
efalse = eq(true,true),
inference(cp,[status(thm)],[t66,t64]) ).
cnf(t0,plain,
eq(X1,X1) = etrue,
introduced(definition) ).
cnf(t65,plain,
eq(X1,X1) = etrue,
inference(orient,[status(thm)],[t0]) ).
cnf(t71,plain,
efalse = etrue,
inference(step,[status(thm)],[t67,t65]) ).
cnf(t68,plain,
efalse = etrue,
inference(orient,[status(thm)],[t71]) ).
cnf(goal_0,negated_conjecture,
etrue != efalse,
introduced(definition) ).
cnf(g0_0,plain,
etrue != etrue,
inference(rw,[status(thm)],[goal_0,t68]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN146-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.58 % Computer : n002.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Fri Sep 25 00:21:51 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.19/1.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.19/1.47 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------