%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV106+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 03:12:14 PM UTC 2026
% Result : Theorem 8.39s 1.61s
% Output : Proof 8.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 19 unt; 0 def)
% Number of atoms : 123 ( 38 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 150 ( 50 ~; 36 |; 48 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 17 con; 0-4 aty)
% Number of variables : 40 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,conjecture,
( ( ! [H,I] :
( ( leq(I,minus(n_steps,n1))
& leq(H,minus(m_measvars,n1))
& leq(n0,I)
& leq(n0,H) )
=> a_select3(z_defuse,H,I) = use )
& ! [G] :
( ( leq(G,minus(n_statevars,n1))
& leq(n0,G) )
=> a_select2(xinit_noise_defuse,G) = use )
& ! [F] :
( ( leq(F,minus(n_statevars,n1))
& leq(n0,F) )
=> a_select2(xinit_mean_defuse,F) = use )
& ! [E] :
( ( leq(E,minus(n_statevars,n1))
& leq(n0,E) )
=> a_select2(xinit_defuse,E) = use )
& ! [C,D] :
( ( leq(D,minus(n_steps,n1))
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(u_defuse,C,D) = use )
& ! [B] :
( ( leq(B,minus(n_statevars,n1))
& leq(n0,B) )
=> a_select2(sigma_defuse,B) = use )
& ! [A] :
( ( leq(A,minus(m_measvars,n1))
& leq(n0,A) )
=> a_select2(rho_defuse,A) = use ) )
=> true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0018) ).
fof(f52_neg,negated_conjecture,
~ ( ( ! [H,I] :
( ( leq(I,minus(n_steps,n1))
& leq(H,minus(m_measvars,n1))
& leq(n0,I)
& leq(n0,H) )
=> a_select3(z_defuse,H,I) = use )
& ! [G] :
( ( leq(G,minus(n_statevars,n1))
& leq(n0,G) )
=> a_select2(xinit_noise_defuse,G) = use )
& ! [F] :
( ( leq(F,minus(n_statevars,n1))
& leq(n0,F) )
=> a_select2(xinit_mean_defuse,F) = use )
& ! [E] :
( ( leq(E,minus(n_statevars,n1))
& leq(n0,E) )
=> a_select2(xinit_defuse,E) = use )
& ! [C,D] :
( ( leq(D,minus(n_steps,n1))
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(u_defuse,C,D) = use )
& ! [B] :
( ( leq(B,minus(n_statevars,n1))
& leq(n0,B) )
=> a_select2(sigma_defuse,B) = use )
& ! [A] :
( ( leq(A,minus(m_measvars,n1))
& leq(n0,A) )
=> a_select2(rho_defuse,A) = use ) )
=> true ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f52_nnf,plain,
( ~ true
& ! [H,I] :
( a_select3(z_defuse,H,I) = use
| ~ leq(I,minus(n_steps,n1))
| ~ leq(H,minus(m_measvars,n1))
| ~ leq(n0,I)
| ~ leq(n0,H) )
& ! [G] :
( a_select2(xinit_noise_defuse,G) = use
| ~ leq(G,minus(n_statevars,n1))
| ~ leq(n0,G) )
& ! [F] :
( a_select2(xinit_mean_defuse,F) = use
| ~ leq(F,minus(n_statevars,n1))
| ~ leq(n0,F) )
& ! [E] :
( a_select2(xinit_defuse,E) = use
| ~ leq(E,minus(n_statevars,n1))
| ~ leq(n0,E) )
& ! [C,D] :
( a_select3(u_defuse,C,D) = use
| ~ leq(D,minus(n_steps,n1))
| ~ leq(C,n2)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [B] :
( a_select2(sigma_defuse,B) = use
| ~ leq(B,minus(n_statevars,n1))
| ~ leq(n0,B) )
& ! [A] :
( a_select2(rho_defuse,A) = use
| ~ leq(A,minus(m_measvars,n1))
| ~ leq(n0,A) ) ),
inference(nnf_transformation,[status(thm)],[f52_neg]) ).
fof(f52_sk,plain,
! [A,B,C,D,E,F,G,H,I] :
( ~ true
& ( a_select3(z_defuse,H,I) = use
| ~ leq(I,minus(n_steps,n1))
| ~ leq(H,minus(m_measvars,n1))
| ~ leq(n0,I)
| ~ leq(n0,H) )
& ( a_select2(xinit_noise_defuse,G) = use
| ~ leq(G,minus(n_statevars,n1))
| ~ leq(n0,G) )
& ( a_select2(xinit_mean_defuse,F) = use
| ~ leq(F,minus(n_statevars,n1))
| ~ leq(n0,F) )
& ( a_select2(xinit_defuse,E) = use
| ~ leq(E,minus(n_statevars,n1))
| ~ leq(n0,E) )
& ( a_select3(u_defuse,C,D) = use
| ~ leq(D,minus(n_steps,n1))
| ~ leq(C,n2)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ( a_select2(sigma_defuse,B) = use
| ~ leq(B,minus(n_statevars,n1))
| ~ leq(n0,B) )
& ( a_select2(rho_defuse,A) = use
| ~ leq(A,minus(m_measvars,n1))
| ~ leq(n0,A) ) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c262,plain,
~ true,
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(hi294,negated_conjecture,
ifeq(true,trueq,false,trueq) = trueq,
inference(equality_encoding,[status(esa)],[c262]) ).
fof(f50,axiom,
true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ttrue) ).
fof(f50_nnf,plain,
true,
inference(nnf_transformation,[status(thm)],[f50]) ).
cnf(c253,plain,
true,
inference(cnf_transformation,[status(esa)],[f50_nnf]) ).
cnf(hi252,axiom,
true = trueq,
inference(equality_encoding,[status(esa)],[c253]) ).
cnf(t1,plain,
trueq = false,
inference(hyper_resolution,[status(thm)],[hi294,hi252]) ).
cnf(t300,plain,
false = trueq,
inference(orient,[status(thm)],[t1]) ).
fof(f2,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox2/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]) ).
fof(f51,axiom,
def != use,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defuse) ).
fof(f51_nnf,plain,
def != use,
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
def != use,
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c254,plain,
def != use,
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(goal_0,negated_conjecture,
trueq != false,
inference(equality_encoding,[status(esa)],[c2,c254,c262]) ).
cnf(g0_0,plain,
trueq != trueq,
inference(rw,[status(thm)],[goal_0,t300]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV106+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.07/0.34 % Computer : n020.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Thu Sep 24 18:32:48 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.39/1.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.39/1.61 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------