%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : FLD039-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 01:15:00 PM UTC 2026
% Result : Unsatisfiable 6.16s 1.29s
% Output : Proof 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 26 unt; 0 def)
% Number of atoms : 34 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 14 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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; 0-4 aty)
% Number of variables : 18 ( 2 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f21,axiom,
( ~ equalish(Y,X)
| equalish(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f21_nnf,plain,
! [X,Y] :
( ~ equalish(Y,X)
| equalish(X,Y) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X,Y] :
( ~ equalish(Y,X)
| equalish(X,Y) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(t15,plain,
ifeq(equalish(X1,X2),true,equalish(X2,X1),true) = true,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(t59,plain,
ifeq(equalish(X1,X2),true,equalish(X2,X1),true) = true,
inference(orient,[status(thm)],[t15]) ).
cnf(f26,axiom,
~ equalish(additive_identity,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',different_identities) ).
fof(f26_nnf,plain,
~ equalish(additive_identity,multiplicative_identity),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
~ equalish(additive_identity,multiplicative_identity),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
~ equalish(additive_identity,multiplicative_identity),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(t4,plain,
equalish(additive_identity,multiplicative_identity) = false,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(t171,plain,
equalish(additive_identity,multiplicative_identity) = false,
inference(orient,[status(thm)],[t4]) ).
cnf(t173,plain,
true = ifeq(equalish(multiplicative_identity,additive_identity),true,false,true),
inference(cp,[status(thm)],[t59,t171]) ).
cnf(f29,negated_conjecture,
equalish(multiplicative_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity_equals_additive_identity_3) ).
fof(f29_nnf,plain,
equalish(multiplicative_identity,additive_identity),
inference(nnf_transformation,[status(thm)],[f29]) ).
cnf(c29,plain,
equalish(multiplicative_identity,additive_identity),
inference(cnf_transformation,[status(esa)],[f29_nnf]) ).
cnf(t5,plain,
equalish(multiplicative_identity,additive_identity) = true,
inference(equality_encoding,[status(esa)],[c29]) ).
cnf(t157,plain,
equalish(multiplicative_identity,additive_identity) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t204,plain,
true = ifeq(true,true,false,true),
inference(step,[status(thm)],[t173,t157]) ).
cnf(t10,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t37,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t10]) ).
cnf(t205,plain,
true = false,
inference(step,[status(thm)],[t204,t37]) ).
cnf(t195,plain,
false = true,
inference(orient,[status(thm)],[t205]) ).
cnf(f28,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_1) ).
fof(f28_nnf,plain,
~ equalish(a,additive_identity),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
~ equalish(a,additive_identity),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
~ equalish(a,additive_identity),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c26,c28]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t195]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD039-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n015.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Fri Sep 25 10:50:58 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.16/1.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.16/1.29 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------