%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CAT019-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n009.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 01:00:44 PM UTC 2026
% Result : Unsatisfiable 5.94s 1.29s
% Output : Proof 5.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 13 unt; 0 def)
% Number of atoms : 21 ( 20 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 12 ( 2 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f19,hypothesis,
( c1 != Z
| c2 = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality_to_c1_and_c2_2) ).
fof(f19_nnf,plain,
! [Z] :
( c1 != Z
| c2 = Z ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [Z] :
( c1 != Z
| c2 = Z ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
( c1 != X0
| c2 = X0 ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(t5,plain,
ifeq(c1,X1,c2,X1) = X1,
inference(equality_encoding,[status(esa)],[c19]) ).
cnf(t24,plain,
ifeq(c1,X1,c2,X1) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t4,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t21,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t4]) ).
cnf(t25,plain,
c1 = c2,
inference(cp,[status(thm)],[t24,t21]) ).
cnf(t128,plain,
c1 = c2,
inference(orient,[status(thm)],[t25]) ).
cnf(f20,negated_conjecture,
c2 != c1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c1_equals_c2) ).
fof(f20_nnf,plain,
c2 != c1,
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
c2 != c1,
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
c2 != c1,
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(goal_0,negated_conjecture,
c2 != c1,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(g0_0,plain,
c2 != c2,
inference(rw,[status(thm)],[goal_0,t128]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT019-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 06:58:28 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.94/1.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.94/1.29 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------