%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV204+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.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 03:16:40 PM UTC 2026
% Result : Theorem 4.00s 1.18s
% Output : CNFRefutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 294 ( 218 equ)
% Maximal formula atoms : 40 ( 9 avg)
% Number of connectives : 314 ( 51 ~; 59 |; 195 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 34 ( 0 sgn 31 !; 3 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ! [X2,X3] :
( ( leq(X3,n998)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(z_defuse,X2,X3) = use )
& ! [X0,X1] :
( ( leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(u_defuse,X0,X1) = use )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> a_select2(rho_defuse,X4) = use ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0015) ).
fof(f54,negated_conjecture,
~ ( ( ! [X2,X3] :
( ( leq(X3,n998)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(z_defuse,X2,X3) = use )
& ! [X0,X1] :
( ( leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(u_defuse,X0,X1) = use )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> a_select2(rho_defuse,X4) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f87,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( X0 = n2
| X0 = n1
| X0 = n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_2) ).
fof(f94,plain,
( ! [X2,X3] :
( ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(z_defuse,X2,X3) = use )
& ! [X0,X1] :
( ~ leq(X1,n998)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(u_defuse,X0,X1) = use )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ? [X4] :
( leq(X4,n2)
& leq(n0,X4)
& use != a_select2(rho_defuse,X4) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f95,plain,
( ! [X2,X3] :
( ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(z_defuse,X2,X3) = use )
& ! [X0,X1] :
( ~ leq(X1,n998)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(u_defuse,X0,X1) = use )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ? [X4] :
( leq(X4,n2)
& leq(n0,X4)
& use != a_select2(rho_defuse,X4) ) ),
inference(flattening,[],[f94]) ).
fof(f107,plain,
! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| X0 = n2
| X0 = n1
| X0 = n0 ),
inference(ennf_transformation,[],[f87]) ).
fof(f108,plain,
! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| X0 = n2
| X0 = n1
| X0 = n0 ),
inference(flattening,[],[f107]) ).
fof(f117,plain,
( ! [X3,X4] :
( ~ leq(X4,n998)
| ~ leq(X3,n2)
| ~ leq(n0,X4)
| ~ leq(n0,X3)
| use = a_select3(z_defuse,X3,X4) )
& ! [X1,X2] :
( ~ leq(X2,n998)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| use = a_select3(u_defuse,X1,X2) )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& use != a_select2(rho_defuse,X0) ) ),
inference(rectify,[],[f95]) ).
fof(f118,plain,
( ! [X3,X4] :
( ~ leq(X4,n998)
| ~ leq(X3,n2)
| ~ leq(n0,X4)
| ~ leq(n0,X3)
| use = a_select3(z_defuse,X3,X4) )
& ! [X1,X2] :
( ~ leq(X2,n998)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| use = a_select3(u_defuse,X1,X2) )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& leq(sK0,n2)
& leq(n0,sK0)
& use != a_select2(rho_defuse,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f117]) ).
fof(f147,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f118]) ).
fof(f148,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f118]) ).
fof(f149,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f118]) ).
fof(f150,plain,
leq(sK0,n2),
inference(cnf_transformation,[],[f118]) ).
fof(f151,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f118]) ).
fof(f152,plain,
use != a_select2(rho_defuse,sK0),
inference(cnf_transformation,[],[f118]) ).
fof(f167,plain,
! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| n2 = X0
| n1 = X0
| n0 = X0 ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_49,negated_conjecture,
a_select2(rho_defuse,sK0) != use,
inference(cnf_transformation,[],[f152]) ).
tcf(c_50,negated_conjecture,
leq(n0,sK0),
inference(cnf_transformation,[],[f151]) ).
tcf(c_51,negated_conjecture,
leq(sK0,n2),
inference(cnf_transformation,[],[f150]) ).
tcf(c_52,negated_conjecture,
a_select2(rho_defuse,n0) = use,
inference(cnf_transformation,[],[f149]) ).
tcf(c_53,negated_conjecture,
a_select2(rho_defuse,n1) = use,
inference(cnf_transformation,[],[f148]) ).
tcf(c_54,negated_conjecture,
a_select2(rho_defuse,n2) = use,
inference(cnf_transformation,[],[f147]) ).
tcf(c_95,plain,
! [X0: $i] :
( ( X0 = n1 )
| ( X0 = n2 )
| ( X0 = n0 )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_4273,plain,
( ( sK0 = n1 )
| ( sK0 = n2 )
| ( sK0 = n0 )
| ~ leq(sK0,n2) ),
inference(superposition,[status(thm)],[c_50,c_95]) ).
tcf(c_4293,plain,
( ( sK0 = n1 )
| ( sK0 = n2 )
| ( sK0 = n0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4273,c_51]) ).
tcf(c_4598,plain,
( ( sK0 = n1 )
| ( sK0 = n0 )
| ( a_select2(rho_defuse,n2) != use ) ),
inference(superposition,[status(thm)],[c_4293,c_49]) ).
tcf(c_4607,plain,
( ( sK0 = n1 )
| ( sK0 = n0 ) ),
inference(ground_joinability,[status(thm)],[c_4598,c_54]) ).
tcf(c_4642,plain,
( ( sK0 = n1 )
| ( a_select2(rho_defuse,n0) != use ) ),
inference(superposition,[status(thm)],[c_4607,c_49]) ).
tcf(c_4645,plain,
sK0 = n1,
inference(ground_joinability,[status(thm)],[c_4642,c_52]) ).
tcf(c_4675,plain,
a_select2(rho_defuse,n1) != use,
inference(demodulation,[status(thm)],[c_49,c_4645]) ).
tcf(c_4678,plain,
$false,
inference(ground_joinability,[status(thm)],[c_4675,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV204+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 18:41:16 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 4.00/1.18 % SZS status Started for theBenchmark.p
% 4.00/1.18 % SZS status Theorem for theBenchmark.p
% 4.00/1.18
% 4.00/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.00/1.18
% 4.00/1.18 % ------ iProver source info
% 4.00/1.18
% 4.00/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 4.00/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.00/1.18 % git: non_committed_changes: false
% 4.00/1.18
% 4.00/1.18 % ------ Parsing...
% 4.00/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.00/1.18
% 4.00/1.18 % ------ Preprocessing... sup_sim: 10 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.00/1.18
% 4.00/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.00/1.18
% 4.00/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.00/1.18 % ------ Proving...
% 4.00/1.18 % ------ Problem Properties
% 4.00/1.18
% 4.00/1.18 %
% 4.00/1.18 % clauses 95
% 4.00/1.18 % conjectures 32
% 4.00/1.18 % EPR 43
% 4.00/1.18 % Horn 88
% 4.00/1.18 % unary 76
% 4.00/1.18 % binary 7
% 4.00/1.18 % lits 145
% 4.00/1.18 % lits eq 68
% 4.00/1.18 % fd_pure 0
% 4.00/1.18 % fd_pseudo 0
% 4.00/1.18 % fd_cond 6
% 4.00/1.18 % fd_pseudo_cond 2
% 4.00/1.18 % AC symbols 0
% 4.00/1.18
% 4.00/1.18 % ------ Schedule dynamic 5 is on
% 4.00/1.18
% 4.00/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.00/1.18
% 4.00/1.18
% 4.00/1.18 % ------
% 4.00/1.18 % Current options:
% 4.00/1.18 % ------
% 4.00/1.18
% 4.00/1.18
% 4.00/1.18 %
% 4.00/1.18
% 4.00/1.18 % ------ Proving...
% 4.00/1.18 %
% 4.00/1.18
% 4.00/1.18 % SZS status Theorem for theBenchmark.p
% 4.00/1.18
% 4.00/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.00/1.18
% 4.00/1.18
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