%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN145-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 03:33:55 PM UTC 2026
% Result : Unsatisfiable 7.26s 1.65s
% Output : Proof 7.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 4 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f368,negated_conjecture,
~ n0(d,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
! [X] : ~ n0(d,X),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
! [X] : ~ n0(d,X),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ n0(d,X0),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(t87,plain,
eq(n0(d,X1),true) = efalse,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(t1156,plain,
eq(n0(d,X1),true) = efalse,
inference(orient,[status(thm)],[t87]) ).
cnf(f25,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f25_nnf,plain,
n0(d,c),
inference(nnf_transformation,[status(thm)],[f25]) ).
cnf(c25,plain,
n0(d,c),
inference(cnf_transformation,[status(esa)],[f25_nnf]) ).
cnf(t23,plain,
n0(d,c) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(t1058,plain,
n0(d,c) = true,
inference(orient,[status(thm)],[t23]) ).
cnf(t1157,plain,
efalse = eq(true,true),
inference(cp,[status(thm)],[t1156,t1058]) ).
cnf(t11,plain,
eq(X1,X1) = etrue,
introduced(definition) ).
cnf(t1155,plain,
eq(X1,X1) = etrue,
inference(orient,[status(thm)],[t11]) ).
cnf(t1216,plain,
efalse = etrue,
inference(step,[status(thm)],[t1157,t1155]) ).
cnf(t1160,plain,
efalse = etrue,
inference(orient,[status(thm)],[t1216]) ).
cnf(goal_0,negated_conjecture,
etrue != efalse,
introduced(definition) ).
cnf(g0_0,plain,
etrue != etrue,
inference(rw,[status(thm)],[goal_0,t1160]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN145-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % 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 00:18:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.26/1.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.26/1.65 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------