%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV188+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n018.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 03:12:27 PM UTC 2026
% Result : Theorem 58.86s 8.15s
% Output : Proof 58.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 139 ( 28 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 170 ( 53 ~; 46 |; 45 &)
% ( 1 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-3 aty)
% Number of variables : 56 ( 0 sgn 48 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& leq(X,Y) )
=> leq(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f4_nnf,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ leq(Y,Z)
| ~ leq(X,Y) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ leq(Y,Z)
| ~ leq(X,Y) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
fof(f52,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(sigmaold_init,G) = init ) )
& ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(rhoold_init,F) = init ) )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(E,n4)
& leq(n0,E) )
=> a_select2(muold_init,E) = init ) )
& ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select3(center_init,D,n0) = init )
& ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select2(rho_init,C) = init )
& ! [A] :
( ( leq(A,n135299)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) ) )
=> ! [H] :
( ( leq(H,tptp_minus_1)
& leq(n0,H) )
=> a_select2(mu_init,H) = init ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0116) ).
fof(f52_neg,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(sigmaold_init,G) = init ) )
& ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(rhoold_init,F) = init ) )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(E,n4)
& leq(n0,E) )
=> a_select2(muold_init,E) = init ) )
& ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select3(center_init,D,n0) = init )
& ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select2(rho_init,C) = init )
& ! [A] :
( ( leq(A,n135299)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) ) )
=> ! [H] :
( ( leq(H,tptp_minus_1)
& leq(n0,H) )
=> a_select2(mu_init,H) = init ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( ? [H] :
( a_select2(mu_init,H) != init
& leq(H,tptp_minus_1)
& leq(n0,H) )
& ( ! [G] :
( a_select2(sigmaold_init,G) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
| ~ gt(loopcounter,n1) )
& ( ! [F] :
( a_select2(rhoold_init,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
| ~ gt(loopcounter,n1) )
& ( ! [E] :
( a_select2(muold_init,E) = init
| ~ leq(E,n4)
| ~ leq(n0,E) )
| ~ gt(loopcounter,n1) )
& ! [D] :
( a_select3(center_init,D,n0) = init
| ~ leq(D,n4)
| ~ leq(n0,D) )
& ! [C] :
( a_select2(rho_init,C) = init
| ~ leq(C,n4)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(q_init,A,B) = init
| ~ leq(B,n4)
| ~ leq(n0,B) )
| ~ leq(A,n135299)
| ~ leq(n0,A) ) ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
! [A,B,C,D,E,F,G] :
( a_select2(mu_init,sk27) != init
& leq(sk27,tptp_minus_1)
& leq(n0,sk27)
& ( a_select2(sigmaold_init,G) = init
| ~ leq(G,n4)
| ~ leq(n0,G)
| ~ gt(loopcounter,n1) )
& ( a_select2(rhoold_init,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F)
| ~ gt(loopcounter,n1) )
& ( a_select2(muold_init,E) = init
| ~ leq(E,n4)
| ~ leq(n0,E)
| ~ gt(loopcounter,n1) )
& ( a_select3(center_init,D,n0) = init
| ~ leq(D,n4)
| ~ leq(n0,D) )
& ( a_select2(rho_init,C) = init
| ~ leq(C,n4)
| ~ leq(n0,C) )
& ( a_select3(q_init,A,B) = init
| ~ leq(B,n4)
| ~ leq(n0,B)
| ~ leq(A,n135299)
| ~ leq(n0,A) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk27])],[f52_nnf]) ).
cnf(c261,plain,
leq(n0,sk27),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p311,plain,
( leq(n0,X0)
| ~ leq(sk27,X0) ),
inference(resolution,[status(thm)],[c4,c261]) ).
cnf(c262,plain,
leq(sk27,tptp_minus_1),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p11500,plain,
leq(n0,tptp_minus_1),
inference(resolution,[status(thm)],[p311,c262]) ).
fof(f12,axiom,
! [X,Y] :
( leq(X,Y)
<=> gt(succ(Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f12_nnf,plain,
! [X,Y] :
( ( ~ gt(succ(Y),X)
| leq(X,Y) )
& ( gt(succ(Y),X)
| ~ leq(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X,Y] :
( ( ~ gt(succ(Y),X)
| leq(X,Y) )
& ( gt(succ(Y),X)
| ~ leq(X,Y) ) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c15,plain,
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p11504,plain,
gt(n0,n0),
inference(resolution,[status(thm)],[p11500,c15]) ).
fof(f2,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f2_nnf,plain,
! [X] : ~ gt(X,X),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] : ~ gt(X,X),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ gt(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p11641,plain,
$false,
inference(resolution,[status(thm)],[p11504,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV188+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 18:45:19 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 58.86/8.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.86/8.15 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------