%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT115+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.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 02:12:00 PM UTC 2026
% Result : Theorem 5.29s 1.17s
% Output : Proof 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 21 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 12 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 20 ( 2 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,axiom,
! [A,B] :
( issue(A) = issue(B)
=> A = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',issue_injective) ).
fof(f0_nnf,plain,
! [A,B] :
( A = B
| issue(A) != issue(B) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,B] :
( A = B
| issue(A) != issue(B) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( X0 = X1
| issue(X0) != issue(X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t4,plain,
ifeq(issue(X1),issue(X2),X1,X2) = X2,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t6,plain,
ifeq(issue(X1),issue(X2),X1,X2) = X2,
inference(orient,[status(thm)],[t4]) ).
fof(f4,conjecture,
issue(pi1) != issue(pi2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).
fof(f4_neg,negated_conjecture,
~ ( issue(pi1) != issue(pi2) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f4_nnf,plain,
issue(pi1) = issue(pi2),
inference(nnf_transformation,[status(thm)],[f4_neg]) ).
cnf(c4,plain,
issue(pi1) = issue(pi2),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(t2,plain,
issue(pi2) = issue(pi1),
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t7,plain,
issue(pi1) = issue(pi2),
inference(orient,[status(thm)],[t2]) ).
cnf(t8,plain,
X1 = ifeq(issue(pi2),issue(X1),pi1,X1),
inference(cp,[status(thm)],[t6,t7]) ).
cnf(t12,plain,
ifeq(issue(pi2),issue(X1),pi1,X1) = X1,
inference(orient,[status(thm)],[t8]) ).
cnf(t3,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t5,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t13,plain,
pi2 = pi1,
inference(cp,[status(thm)],[t12,t5]) ).
cnf(t14,plain,
pi1 = pi2,
inference(orient,[status(thm)],[t13]) ).
fof(f3,axiom,
pi1 != pi2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pi1_neq_pi2) ).
fof(f3_nnf,plain,
pi1 != pi2,
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
pi1 != pi2,
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
pi1 != pi2,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(goal_0,negated_conjecture,
pi2 != pi1,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(g0_0,plain,
pi2 != pi2,
inference(rw,[status(thm)],[goal_0,t14]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT115+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.36 % Computer : n020.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Thu Sep 24 01:26:17 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.29/1.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.29/1.17 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------