%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEV515+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n012.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 03:00:56 PM UTC 2026
% Result : Theorem 0.97s 0.80s
% Output : Proof 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 5
% Syntax : Number of formulae : 89 ( 4 unt; 0 def)
% Number of atoms : 463 ( 0 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 459 ( 85 ~; 312 |; 59 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 81 ( 0 sgn 34 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X_2,X_1] :
( g_false_only(X_2,X_1)
| g_both(X_2,X_1)
| g_true_only(X_2,X_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).
fof(f4_nnf,plain,
! [X_2,X_1] :
( g_false_only(X_2,X_1)
| g_both(X_2,X_1)
| g_true_only(X_2,X_1) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X_2,X_1] :
( g_false_only(X_2,X_1)
| g_both(X_2,X_1)
| g_true_only(X_2,X_1) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c47,plain,
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
fof(f0,conjecture,
( ( ~ ? [A] :
! [B] :
( ( g_true_only(B,B)
& g_false_only(B,A) )
| ( g_false_only(B,B)
& g_true_only(B,A) ) )
& ? [A] :
( ~ ? [B] :
( ( ( g_both(B,B)
| g_false_only(B,B) )
& g_false_only(B,A) )
| ( ( g_true_only(B,B)
| g_false_only(B,B) )
& g_both(B,A) )
| ( ( g_true_only(B,B)
| g_both(B,B) )
& g_true_only(B,A) ) )
& ? [B] :
( g_both(B,B)
& g_both(B,A) ) ) )
| ! [A] :
? [B] :
( ( ( g_both(B,B)
| g_false_only(B,B) )
& g_false_only(B,A) )
| ( ( g_true_only(B,B)
| g_false_only(B,B) )
& g_both(B,A) )
| ( ( g_true_only(B,B)
| g_both(B,B) )
& g_true_only(B,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc1) ).
fof(f0_neg,negated_conjecture,
~ ( ( ~ ? [A] :
! [B] :
( ( g_true_only(B,B)
& g_false_only(B,A) )
| ( g_false_only(B,B)
& g_true_only(B,A) ) )
& ? [A] :
( ~ ? [B] :
( ( ( g_both(B,B)
| g_false_only(B,B) )
& g_false_only(B,A) )
| ( ( g_true_only(B,B)
| g_false_only(B,B) )
& g_both(B,A) )
| ( ( g_true_only(B,B)
| g_both(B,B) )
& g_true_only(B,A) ) )
& ? [B] :
( g_both(B,B)
& g_both(B,A) ) ) )
| ! [A] :
? [B] :
( ( ( g_both(B,B)
| g_false_only(B,B) )
& g_false_only(B,A) )
| ( ( g_true_only(B,B)
| g_false_only(B,B) )
& g_both(B,A) )
| ( ( g_true_only(B,B)
| g_both(B,B) )
& g_true_only(B,A) ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ( ? [A] :
! [B] :
( ( g_true_only(B,B)
& g_false_only(B,A) )
| ( g_false_only(B,B)
& g_true_only(B,A) ) )
| ! [A] :
( ? [B] :
( ( ( g_both(B,B)
| g_false_only(B,B) )
& g_false_only(B,A) )
| ( ( g_true_only(B,B)
| g_false_only(B,B) )
& g_both(B,A) )
| ( ( g_true_only(B,B)
| g_both(B,B) )
& g_true_only(B,A) ) )
| ! [B] :
( ~ g_both(B,B)
| ~ g_both(B,A) ) ) )
& ? [A] :
! [B] :
( ( ( ~ g_both(B,B)
& ~ g_false_only(B,B) )
| ~ g_false_only(B,A) )
& ( ( ~ g_true_only(B,B)
& ~ g_false_only(B,B) )
| ~ g_both(B,A) )
& ( ( ~ g_true_only(B,B)
& ~ g_both(B,B) )
| ~ g_true_only(B,A) ) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [B,A] :
( ( ( g_true_only(B,B)
& g_false_only(B,sk2) )
| ( g_false_only(B,B)
& g_true_only(B,sk2) )
| ( ( g_both(sk1(A),sk1(A))
| g_false_only(sk1(A),sk1(A)) )
& g_false_only(sk1(A),A) )
| ( ( g_true_only(sk1(A),sk1(A))
| g_false_only(sk1(A),sk1(A)) )
& g_both(sk1(A),A) )
| ( ( g_true_only(sk1(A),sk1(A))
| g_both(sk1(A),sk1(A)) )
& g_true_only(sk1(A),A) )
| ~ g_both(B,B)
| ~ g_both(B,A) )
& ( ( ~ g_both(B,B)
& ~ g_false_only(B,B) )
| ~ g_false_only(B,sk0) )
& ( ( ~ g_true_only(B,B)
& ~ g_false_only(B,B) )
| ~ g_both(B,sk0) )
& ( ( ~ g_true_only(B,B)
& ~ g_both(B,B) )
| ~ g_true_only(B,sk0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f0_nnf]) ).
cnf(c4,plain,
( ~ g_false_only(X1,X1)
| ~ g_false_only(X1,sk0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p49,plain,
~ g_false_only(sk0,sk0),
inference(factoring,[status(thm)],[c4]) ).
cnf(p85,plain,
( g_both(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[c47,p49]) ).
cnf(c17,plain,
( g_true_only(X1,X1)
| g_false_only(X1,X1)
| g_false_only(sk1(X0),X0)
| g_true_only(sk1(X0),sk1(X0))
| g_false_only(sk1(X0),sk1(X0))
| g_true_only(sk1(X0),X0)
| ~ g_both(X1,X1)
| ~ g_both(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p71,plain,
( g_true_only(X0,X0)
| g_false_only(X0,X0)
| g_false_only(sk1(X0),X0)
| g_true_only(sk1(X0),sk1(X0))
| g_false_only(sk1(X0),sk1(X0))
| g_true_only(sk1(X0),X0)
| ~ g_both(X0,X0) ),
inference(factoring,[status(thm)],[c17]) ).
cnf(p96,plain,
( g_true_only(sk0,sk0)
| g_false_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk1(sk0))
| g_false_only(sk1(sk0),sk1(sk0))
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p85,p71]) ).
cnf(p246,plain,
( g_false_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk1(sk0))
| g_false_only(sk1(sk0),sk1(sk0))
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p96]) ).
cnf(p84,plain,
( ~ g_false_only(X0,X0)
| g_both(X0,sk0)
| g_true_only(X0,sk0) ),
inference(resolution,[status(thm)],[c47,c4]) ).
cnf(p103,plain,
( g_both(X0,X0)
| g_true_only(X0,X0)
| g_both(X0,sk0)
| g_true_only(X0,sk0) ),
inference(resolution,[status(thm)],[p84,c47]) ).
cnf(c5,plain,
( ~ g_both(X1,X1)
| ~ g_false_only(X1,sk0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p86,plain,
( ~ g_both(X0,X0)
| g_both(X0,sk0)
| g_true_only(X0,sk0) ),
inference(resolution,[status(thm)],[c47,c5]) ).
cnf(p127,plain,
( g_both(X0,sk0)
| g_true_only(X0,sk0)
| g_true_only(X0,X0)
| g_both(X0,sk0)
| g_true_only(X0,sk0) ),
inference(resolution,[status(thm)],[p103,p86]) ).
cnf(p170,plain,
( g_both(X0,sk0)
| g_true_only(X0,X0)
| g_both(X0,sk0)
| g_true_only(X0,sk0) ),
inference(factoring,[status(thm)],[p127]) ).
cnf(p172,plain,
( g_true_only(X0,X0)
| g_both(X0,sk0)
| g_true_only(X0,sk0) ),
inference(factoring,[status(thm)],[p170]) ).
cnf(c2,plain,
( ~ g_false_only(X1,X1)
| ~ g_both(X1,sk0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p173,plain,
( ~ g_false_only(X0,X0)
| g_true_only(X0,X0)
| g_true_only(X0,sk0) ),
inference(resolution,[status(thm)],[p172,c2]) ).
cnf(p248,plain,
( g_true_only(sk1(sk0),sk1(sk0))
| g_true_only(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk1(sk0))
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p246,p173]) ).
cnf(p436,plain,
( g_true_only(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk1(sk0))
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p248]) ).
cnf(p437,plain,
( g_false_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk1(sk0))
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p436]) ).
cnf(c13,plain,
( g_true_only(X1,X1)
| g_false_only(X1,X1)
| g_both(sk1(X0),sk1(X0))
| g_false_only(sk1(X0),sk1(X0))
| g_both(sk1(X0),X0)
| g_true_only(sk1(X0),X0)
| ~ g_both(X1,X1)
| ~ g_both(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p57,plain,
( g_true_only(X0,X0)
| g_false_only(X0,X0)
| g_both(sk1(X0),sk1(X0))
| g_false_only(sk1(X0),sk1(X0))
| g_both(sk1(X0),X0)
| g_true_only(sk1(X0),X0)
| ~ g_both(X0,X0) ),
inference(factoring,[status(thm)],[c13]) ).
cnf(p92,plain,
( g_true_only(sk0,sk0)
| g_false_only(sk0,sk0)
| g_both(sk1(sk0),sk1(sk0))
| g_false_only(sk1(sk0),sk1(sk0))
| g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p85,p57]) ).
cnf(p234,plain,
( g_false_only(sk0,sk0)
| g_both(sk1(sk0),sk1(sk0))
| g_false_only(sk1(sk0),sk1(sk0))
| g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p92]) ).
cnf(p237,plain,
( g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_both(sk1(sk0),sk1(sk0))
| g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p234,p84]) ).
cnf(p347,plain,
( g_both(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_both(sk1(sk0),sk1(sk0))
| g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p237]) ).
cnf(p349,plain,
( g_false_only(sk0,sk0)
| g_both(sk1(sk0),sk1(sk0))
| g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p347]) ).
cnf(p357,plain,
( g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p349,p86]) ).
cnf(p359,plain,
( g_both(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p357]) ).
cnf(p361,plain,
( g_false_only(sk0,sk0)
| g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p359]) ).
cnf(c3,plain,
( ~ g_true_only(X1,X1)
| ~ g_both(X1,sk0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p363,plain,
( ~ g_true_only(sk1(sk0),sk1(sk0))
| g_false_only(sk0,sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p361,c3]) ).
cnf(p440,plain,
( g_false_only(sk0,sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0)
| g_false_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p437,p363]) ).
cnf(p442,plain,
( g_false_only(sk0,sk0)
| g_true_only(sk0,sk0)
| g_false_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p440]) ).
cnf(p444,plain,
( g_false_only(sk0,sk0)
| g_false_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p442]) ).
cnf(p446,plain,
( g_false_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p444]) ).
fof(f3,axiom,
! [X_2,X_1] :
( g_false_only(X_2,X_1)
<=> ( ~ g_true(X_2,X_1)
& g_false(X_2,X_1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_g) ).
fof(f3_nnf,plain,
! [X_2,X_1] :
( ( g_true(X_2,X_1)
| ~ g_false(X_2,X_1)
| g_false_only(X_2,X_1) )
& ( ( ~ g_true(X_2,X_1)
& g_false(X_2,X_1) )
| ~ g_false_only(X_2,X_1) ) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X_2,X_1] :
( ( g_true(X_2,X_1)
| ~ g_false(X_2,X_1)
| g_false_only(X_2,X_1) )
& ( ( ~ g_true(X_2,X_1)
& g_false(X_2,X_1) )
| ~ g_false_only(X_2,X_1) ) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c45,plain,
( ~ g_true(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p448,plain,
( ~ g_true(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p446,c45]) ).
fof(f2,axiom,
! [X_2,X_1] :
( g_both(X_2,X_1)
<=> ( g_false(X_2,X_1)
& g_true(X_2,X_1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_g) ).
fof(f2_nnf,plain,
! [X_2,X_1] :
( ( ~ g_false(X_2,X_1)
| ~ g_true(X_2,X_1)
| g_both(X_2,X_1) )
& ( ( g_false(X_2,X_1)
& g_true(X_2,X_1) )
| ~ g_both(X_2,X_1) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X_2,X_1] :
( ( ~ g_false(X_2,X_1)
| ~ g_true(X_2,X_1)
| g_both(X_2,X_1) )
& ( ( g_false(X_2,X_1)
& g_true(X_2,X_1) )
| ~ g_both(X_2,X_1) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c41,plain,
( g_true(X0,X1)
| ~ g_both(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p364,plain,
( g_true(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p361,c41]) ).
cnf(p451,plain,
( g_false_only(sk0,sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p448,p364]) ).
cnf(p456,plain,
( g_false_only(sk0,sk0)
| g_true_only(sk0,sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p451]) ).
cnf(p458,plain,
( g_false_only(sk0,sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p456]) ).
cnf(p460,plain,
( g_false_only(sk0,sk0)
| g_true_only(sk1(sk0),sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p458]) ).
cnf(c0,plain,
( ~ g_both(X1,X1)
| ~ g_true_only(X1,sk0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p461,plain,
( ~ g_both(sk1(sk0),sk1(sk0))
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p460,c0]) ).
cnf(c25,plain,
( g_true_only(X1,X1)
| g_false_only(X1,X1)
| g_false_only(sk1(X0),X0)
| g_both(sk1(X0),X0)
| g_true_only(sk1(X0),sk1(X0))
| g_both(sk1(X0),sk1(X0))
| ~ g_both(X1,X1)
| ~ g_both(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p81,plain,
( g_true_only(X0,X0)
| g_false_only(X0,X0)
| g_false_only(sk1(X0),X0)
| g_both(sk1(X0),X0)
| g_true_only(sk1(X0),sk1(X0))
| g_both(sk1(X0),sk1(X0))
| ~ g_both(X0,X0) ),
inference(factoring,[status(thm)],[c25]) ).
cnf(p100,plain,
( g_true_only(sk0,sk0)
| g_false_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk1(sk0))
| g_both(sk1(sk0),sk1(sk0))
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p85,p81]) ).
cnf(p292,plain,
( g_false_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk1(sk0))
| g_both(sk1(sk0),sk1(sk0))
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p100]) ).
cnf(p465,plain,
( g_false_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk1(sk0))
| g_true_only(sk0,sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p461,p292]) ).
cnf(p466,plain,
( g_false_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk1(sk0))
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p465]) ).
cnf(p468,plain,
( g_false_only(sk1(sk0),sk0)
| g_both(sk1(sk0),sk0)
| g_true_only(sk1(sk0),sk1(sk0))
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p466]) ).
cnf(c1,plain,
( ~ g_true_only(X1,X1)
| ~ g_true_only(X1,sk0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p462,plain,
( ~ g_true_only(sk1(sk0),sk1(sk0))
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p460,c1]) ).
cnf(p471,plain,
( g_false_only(sk0,sk0)
| g_true_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_both(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p468,p462]) ).
cnf(p472,plain,
( g_false_only(sk0,sk0)
| g_false_only(sk1(sk0),sk0)
| g_both(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p471]) ).
cnf(p474,plain,
( g_false_only(sk1(sk0),sk0)
| g_both(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p472]) ).
cnf(c44,plain,
( g_false(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p476,plain,
( g_false(sk1(sk0),sk0)
| g_both(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p474,c44]) ).
fof(f1,axiom,
! [X_2,X_1] :
( g_true_only(X_2,X_1)
<=> ( ~ g_false(X_2,X_1)
& g_true(X_2,X_1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_g) ).
fof(f1_nnf,plain,
! [X_2,X_1] :
( ( g_false(X_2,X_1)
| ~ g_true(X_2,X_1)
| g_true_only(X_2,X_1) )
& ( ( ~ g_false(X_2,X_1)
& g_true(X_2,X_1) )
| ~ g_true_only(X_2,X_1) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X_2,X_1] :
( ( g_false(X_2,X_1)
| ~ g_true(X_2,X_1)
| g_true_only(X_2,X_1) )
& ( ( ~ g_false(X_2,X_1)
& g_true(X_2,X_1) )
| ~ g_true_only(X_2,X_1) ) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c39,plain,
( ~ g_false(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p464,plain,
( ~ g_false(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p460,c39]) ).
cnf(p478,plain,
( g_false_only(sk0,sk0)
| g_true_only(sk0,sk0)
| g_both(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p476,p464]) ).
cnf(p480,plain,
( g_false_only(sk0,sk0)
| g_both(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p478]) ).
cnf(p482,plain,
( g_both(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p480]) ).
cnf(c42,plain,
( g_false(X0,X1)
| ~ g_both(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p484,plain,
( g_false(sk1(sk0),sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p482,c42]) ).
cnf(p485,plain,
( g_false_only(sk0,sk0)
| g_true_only(sk0,sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(resolution,[status(thm)],[p484,p464]) ).
cnf(p487,plain,
( g_false_only(sk0,sk0)
| g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p485]) ).
cnf(p489,plain,
( g_false_only(sk0,sk0)
| g_true_only(sk0,sk0) ),
inference(factoring,[status(thm)],[p487]) ).
cnf(p490,plain,
g_true_only(sk0,sk0),
inference(resolution,[status(thm)],[p489,p49]) ).
cnf(p48,plain,
~ g_true_only(sk0,sk0),
inference(factoring,[status(thm)],[c1]) ).
cnf(p492,plain,
$false,
inference(resolution,[status(thm)],[p490,p48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEV515+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Thu Sep 24 14:54:51 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.29 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.97/0.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.97/0.80 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------