TSTP Solution File: SWV210+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV210+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 22:31:36 EDT 2023
% Result : Theorem 3.72s 1.19s
% Output : CNFRefutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 334 ( 219 equ)
% Maximal formula atoms : 42 ( 13 avg)
% Number of connectives : 366 ( 56 ~; 46 |; 251 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-3 aty)
% Number of variables : 48 ( 0 sgn; 36 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ! [X3,X19] :
( ( leq(X19,n998)
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> use = a_select3(z_defuse,X3,X19) )
& ! [X13,X17] :
( ( leq(X17,n998)
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> use = a_select3(u_defuse,X13,X17) )
& 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) )
=> ! [X20,X21] :
( ( leq(X21,n998)
& leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20) )
=> use = a_select3(z_defuse,X20,X21) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0021) ).
fof(f54,negated_conjecture,
~ ( ( ! [X3,X19] :
( ( leq(X19,n998)
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> use = a_select3(z_defuse,X3,X19) )
& ! [X13,X17] :
( ( leq(X17,n998)
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> use = a_select3(u_defuse,X13,X17) )
& 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) )
=> ! [X20,X21] :
( ( leq(X21,n998)
& leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20) )
=> use = a_select3(z_defuse,X20,X21) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f114,plain,
~ ( ( ! [X0,X1] :
( ( leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> use = a_select3(z_defuse,X0,X1) )
& ! [X2,X3] :
( ( leq(X3,n998)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> use = a_select3(u_defuse,X2,X3) )
& 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) )
=> ! [X4,X5] :
( ( leq(X5,n998)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> use = a_select3(z_defuse,X4,X5) ) ),
inference(rectify,[],[f54]) ).
fof(f156,plain,
( ? [X4,X5] :
( use != a_select3(z_defuse,X4,X5)
& leq(X5,n998)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
& ! [X0,X1] :
( use = a_select3(z_defuse,X0,X1)
| ~ leq(X1,n998)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& 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) ),
inference(ennf_transformation,[],[f114]) ).
fof(f157,plain,
( ? [X4,X5] :
( use != a_select3(z_defuse,X4,X5)
& leq(X5,n998)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
& ! [X0,X1] :
( use = a_select3(z_defuse,X0,X1)
| ~ leq(X1,n998)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& 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) ),
inference(flattening,[],[f156]) ).
fof(f224,plain,
( ? [X0,X1] :
( use != a_select3(z_defuse,X0,X1)
& leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
& ! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( use = a_select3(u_defuse,X4,X5)
| ~ leq(X5,n998)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& 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) ),
inference(rectify,[],[f157]) ).
fof(f225,plain,
( ? [X0,X1] :
( use != a_select3(z_defuse,X0,X1)
& leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( use != a_select3(z_defuse,sK31,sK32)
& leq(sK32,n998)
& leq(sK31,n2)
& leq(n0,sK32)
& leq(n0,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( use != a_select3(z_defuse,sK31,sK32)
& leq(sK32,n998)
& leq(sK31,n2)
& leq(n0,sK32)
& leq(n0,sK31)
& ! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( use = a_select3(u_defuse,X4,X5)
| ~ leq(X5,n998)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& 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) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f224,f225]) ).
fof(f365,plain,
! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f226]) ).
fof(f366,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f226]) ).
fof(f367,plain,
leq(n0,sK32),
inference(cnf_transformation,[],[f226]) ).
fof(f368,plain,
leq(sK31,n2),
inference(cnf_transformation,[],[f226]) ).
fof(f369,plain,
leq(sK32,n998),
inference(cnf_transformation,[],[f226]) ).
fof(f370,plain,
use != a_select3(z_defuse,sK31,sK32),
inference(cnf_transformation,[],[f226]) ).
cnf(c_157,negated_conjecture,
a_select3(z_defuse,sK31,sK32) != use,
inference(cnf_transformation,[],[f370]) ).
cnf(c_158,negated_conjecture,
leq(sK32,n998),
inference(cnf_transformation,[],[f369]) ).
cnf(c_159,negated_conjecture,
leq(sK31,n2),
inference(cnf_transformation,[],[f368]) ).
cnf(c_160,negated_conjecture,
leq(n0,sK32),
inference(cnf_transformation,[],[f367]) ).
cnf(c_161,negated_conjecture,
leq(n0,sK31),
inference(cnf_transformation,[],[f366]) ).
cnf(c_162,negated_conjecture,
( ~ leq(X0,n2)
| ~ leq(X1,n998)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(z_defuse,X0,X1) = use ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_9080,plain,
( ~ leq(X0,n998)
| ~ leq(n0,X0)
| ~ leq(sK31,n2)
| a_select3(z_defuse,sK31,X0) = use ),
inference(superposition,[status(thm)],[c_161,c_162]) ).
cnf(c_9081,plain,
( ~ leq(X0,n998)
| ~ leq(n0,X0)
| a_select3(z_defuse,sK31,X0) = use ),
inference(forward_subsumption_resolution,[status(thm)],[c_9080,c_159]) ).
cnf(c_9129,plain,
( ~ leq(sK32,n998)
| a_select3(z_defuse,sK31,sK32) = use ),
inference(superposition,[status(thm)],[c_160,c_9081]) ).
cnf(c_9133,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9129,c_157,c_158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV210+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 03:21:15 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.72/1.19 % SZS status Started for theBenchmark.p
% 3.72/1.19 % SZS status Theorem for theBenchmark.p
% 3.72/1.19
% 3.72/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.72/1.19
% 3.72/1.19 ------ iProver source info
% 3.72/1.19
% 3.72/1.19 git: date: 2023-05-31 18:12:56 +0000
% 3.72/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.72/1.19 git: non_committed_changes: false
% 3.72/1.19 git: last_make_outside_of_git: false
% 3.72/1.19
% 3.72/1.19 ------ Parsing...
% 3.72/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.72/1.19
% 3.72/1.19 ------ Preprocessing... sup_sim: 16 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.72/1.19
% 3.72/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.72/1.19
% 3.72/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.72/1.19 ------ Proving...
% 3.72/1.19 ------ Problem Properties
% 3.72/1.19
% 3.72/1.19
% 3.72/1.19 clauses 181
% 3.72/1.19 conjectures 34
% 3.72/1.19 EPR 47
% 3.72/1.19 Horn 131
% 3.72/1.19 unary 85
% 3.72/1.19 binary 34
% 3.72/1.19 lits 528
% 3.72/1.19 lits eq 143
% 3.72/1.19 fd_pure 0
% 3.72/1.19 fd_pseudo 0
% 3.72/1.19 fd_cond 6
% 3.72/1.19 fd_pseudo_cond 4
% 3.72/1.19 AC symbols 0
% 3.72/1.19
% 3.72/1.19 ------ Schedule dynamic 5 is on
% 3.72/1.19
% 3.72/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.72/1.19
% 3.72/1.19
% 3.72/1.19 ------
% 3.72/1.19 Current options:
% 3.72/1.19 ------
% 3.72/1.19
% 3.72/1.19
% 3.72/1.19
% 3.72/1.19
% 3.72/1.19 ------ Proving...
% 3.72/1.19
% 3.72/1.19
% 3.72/1.19 % SZS status Theorem for theBenchmark.p
% 3.72/1.19
% 3.72/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.72/1.19
% 3.72/1.19
%------------------------------------------------------------------------------