%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV210+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 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 03:16:41 PM UTC 2026
% Result : Theorem 3.20s 1.09s
% Output : CNFRefutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 22 unt; 2 def)
% Number of atoms : 317 ( 197 equ)
% Maximal formula atoms : 42 ( 8 avg)
% Number of connectives : 333 ( 64 ~; 55 |; 206 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 8 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 : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-3 aty)
% Number of variables : 44 ( 0 sgn 38 !; 6 ?; 8 :)
% 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,X5] :
( ( leq(X5,n998)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(z_defuse,X4,X5) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0021) ).
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,X5] :
( ( leq(X5,n998)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(z_defuse,X4,X5) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,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,X5] :
( leq(X5,n998)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4)
& use != a_select3(z_defuse,X4,X5) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,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,X5] :
( leq(X5,n998)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4)
& use != a_select3(z_defuse,X4,X5) ) ),
inference(flattening,[],[f143]) ).
fof(f197,plain,
( ! [X4,X5] :
( ~ leq(X5,n998)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| use = a_select3(z_defuse,X4,X5) )
& ! [X2,X3] :
( ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3) )
& 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,X1] :
( leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0)
& use != a_select3(z_defuse,X0,X1) ) ),
inference(rectify,[],[f144]) ).
fof(f198,plain,
( ! [X4,X5] :
( ~ leq(X5,n998)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| use = a_select3(z_defuse,X4,X5) )
& ! [X2,X3] :
( ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3) )
& 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(sK32,n998)
& leq(sK31,n2)
& leq(n0,sK32)
& leq(n0,sK31)
& use != a_select3(z_defuse,sK31,sK32) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f197]) ).
fof(f309,plain,
! [X4,X5] :
( ~ leq(X5,n998)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| use = a_select3(z_defuse,X4,X5) ),
inference(cnf_transformation,[],[f198]) ).
fof(f311,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f198]) ).
fof(f338,plain,
leq(sK32,n998),
inference(cnf_transformation,[],[f198]) ).
fof(f339,plain,
leq(sK31,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f340,plain,
leq(n0,sK32),
inference(cnf_transformation,[],[f198]) ).
fof(f341,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f198]) ).
fof(f342,plain,
use != a_select3(z_defuse,sK31,sK32),
inference(cnf_transformation,[],[f198]) ).
tcf(c_157,negated_conjecture,
a_select3(z_defuse,sK31,sK32) != use,
inference(cnf_transformation,[],[f342]) ).
tcf(c_158,negated_conjecture,
leq(n0,sK31),
inference(cnf_transformation,[],[f341]) ).
tcf(c_159,negated_conjecture,
leq(n0,sK32),
inference(cnf_transformation,[],[f340]) ).
tcf(c_160,negated_conjecture,
leq(sK31,n2),
inference(cnf_transformation,[],[f339]) ).
tcf(c_161,negated_conjecture,
leq(sK32,n998),
inference(cnf_transformation,[],[f338]) ).
tcf(c_188,negated_conjecture,
a_select2(xinit_noise_defuse,n5) = use,
inference(cnf_transformation,[],[f311]) ).
tcf(c_190,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(z_defuse,X0,X1) = use )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n998)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_5977,definition,
iPr_def_10 = a_select2(xinit_noise_defuse,n5),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_6004,definition,
iPr_def_37 = a_select3(z_defuse,sK31,sK32),
introduced(definition,[new_symbols(definition,[iPr_def_37])],[]) ).
tcf(c_6005,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(z_defuse,X0,X1) = use )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n998)
| ~ leq(X0,n2) ),
inference(demodulation,[status(thm)],[c_190]) ).
tcf(c_6007,negated_conjecture,
iPr_def_10 = use,
inference(demodulation,[status(thm)],[c_188,c_5977]) ).
tcf(c_6034,negated_conjecture,
leq(sK32,n998),
inference(demodulation,[status(thm)],[c_161]) ).
tcf(c_6035,negated_conjecture,
leq(sK31,n2),
inference(demodulation,[status(thm)],[c_160]) ).
tcf(c_6036,negated_conjecture,
leq(n0,sK32),
inference(demodulation,[status(thm)],[c_159]) ).
tcf(c_6037,negated_conjecture,
leq(n0,sK31),
inference(demodulation,[status(thm)],[c_158]) ).
tcf(c_6038,negated_conjecture,
iPr_def_37 != use,
inference(demodulation,[status(thm)],[c_157,c_6004]) ).
tcf(c_9321,plain,
iPr_def_10 != iPr_def_37,
inference(light_normalisation,[status(thm)],[c_6038,c_6007]) ).
tcf(c_9324,plain,
! [X0: $i,X1: $i] :
( ( a_select3(z_defuse,X0,X1) = iPr_def_10 )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n998)
| ~ leq(X0,n2) ),
inference(light_normalisation,[status(thm)],[c_6005,c_6007]) ).
tcf(c_9331,plain,
! [X0: $i] :
( ( a_select3(z_defuse,sK31,X0) = iPr_def_10 )
| ~ leq(sK31,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n998) ),
inference(superposition,[status(thm)],[c_6037,c_9324]) ).
tcf(c_9337,plain,
! [X0: $i] :
( ( a_select3(z_defuse,sK31,X0) = iPr_def_10 )
| ~ leq(n0,X0)
| ~ leq(X0,n998) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9331,c_6035]) ).
tcf(c_9390,plain,
( ( a_select3(z_defuse,sK31,sK32) = iPr_def_10 )
| ~ leq(sK32,n998) ),
inference(superposition,[status(thm)],[c_6036,c_9337]) ).
tcf(c_9391,plain,
( ( iPr_def_10 = iPr_def_37 )
| ~ leq(sK32,n998) ),
inference(light_normalisation,[status(thm)],[c_9390,c_6004]) ).
tcf(c_9392,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9391,c_9321,c_6034]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV210+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.05/0.32 % Computer : n012.cluster.edu
% 0.05/0.32 % Model : x86_64 x86_64
% 0.05/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.32 % Memory : 8046.5625MB
% 0.05/0.32 % OS : Linux 6.8.0-71-generic
% 0.05/0.32 % CPULimit : 300
% 0.05/0.32 % WCLimit : 300
% 0.05/0.32 % DateTime : Thu Sep 24 18:46:36 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 Running first-order theorem proving
% 0.08/0.34 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35
% 0.08/0.35 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.35
% 0.08/0.35 % Detected problem language: tptp
% 0.08/0.35 % Proving...
% 3.20/1.09 % SZS status Started for theBenchmark.p
% 3.20/1.09 % SZS status Theorem for theBenchmark.p
% 3.20/1.09
% 3.20/1.09 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.20/1.09
% 3.20/1.09 % ------ iProver source info
% 3.20/1.09
% 3.20/1.09 % git: date: 2026-07-19 20:42:38 +0200
% 3.20/1.09 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.20/1.09 % git: non_committed_changes: false
% 3.20/1.09
% 3.20/1.09 % ------ Parsing...
% 3.20/1.09 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.20/1.09
% 3.20/1.09 % ------ Preprocessing... sup_sim: 15 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.20/1.09
% 3.20/1.09 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.20/1.09
% 3.20/1.09 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.20/1.09 % ------ Proving...
% 3.20/1.09 % ------ Problem Properties
% 3.20/1.09
% 3.20/1.09 %
% 3.20/1.09 % clauses 209
% 3.20/1.09 % conjectures 34
% 3.20/1.09 % EPR 75
% 3.20/1.09 % Horn 159
% 3.20/1.09 % unary 113
% 3.20/1.09 % binary 34
% 3.20/1.09 % lits 556
% 3.20/1.09 % lits eq 171
% 3.20/1.09 % fd_pure 0
% 3.20/1.09 % fd_pseudo 0
% 3.20/1.09 % fd_cond 6
% 3.20/1.09 % fd_pseudo_cond 4
% 3.20/1.09 % AC symbols 0
% 3.20/1.09
% 3.20/1.09 % ------ Schedule dynamic 5 is on
% 3.20/1.09
% 3.20/1.09 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.20/1.09
% 3.20/1.09
% 3.20/1.09 % ------
% 3.20/1.09 % Current options:
% 3.20/1.09 % ------
% 3.20/1.09
% 3.20/1.09
% 3.20/1.09 %
% 3.20/1.09
% 3.20/1.09 % ------ Proving...
% 3.20/1.09 %
% 3.20/1.09
% 3.20/1.09 % SZS status Theorem for theBenchmark.p
% 3.20/1.09
% 3.20/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.20/1.09
% 3.20/1.09
%------------------------------------------------------------------------------