TSTP Solution File: SWW216+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW216+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 : Fri Sep 1 00:38:31 EDT 2023
% Result : Theorem 28.16s 4.72s
% Output : CNFRefutation 28.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 15 unt; 0 def)
% Number of atoms : 55 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 55 ( 25 ~; 21 |; 1 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn; 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_m_I1_J) ).
fof(f3,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_H_I3_J) ).
fof(f47,axiom,
! [X15,X16,X17,X9] :
( class_Fields_Olinordered__field(X9)
=> ( c_Orderings_Oord__class_Oless(X9,c_Groups_Ozero__class_Ozero(X9),X17)
=> ( c_Orderings_Oord__class_Oless(X9,X16,c_Rings_Oinverse__class_Odivide(X9,X15,X17))
<=> c_Orderings_Oord__class_Oless(X9,hAPP(c_Groups_Otimes__class_Otimes(X9,X16),X17),X15) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pos__less__divide__eq) ).
fof(f1134,axiom,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field) ).
fof(f1250,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1251,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(negated_conjecture,[],[f1250]) ).
fof(f1284,plain,
! [X0,X1,X2,X3] :
( class_Fields_Olinordered__field(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
=> ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) ) ) ),
inference(rectify,[],[f47]) ).
fof(f2205,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(flattening,[],[f1251]) ).
fof(f2245,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(ennf_transformation,[],[f1284]) ).
fof(f2246,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(flattening,[],[f2245]) ).
fof(f3319,plain,
! [X0,X1,X2,X3] :
( ( ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) )
& ( c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2)) ) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(nnf_transformation,[],[f2246]) ).
fof(f3731,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
inference(cnf_transformation,[],[f2]) ).
fof(f3732,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
inference(cnf_transformation,[],[f3]) ).
fof(f3783,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(cnf_transformation,[],[f3319]) ).
fof(f5407,plain,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1134]) ).
fof(f5523,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(cnf_transformation,[],[f2205]) ).
cnf(c_50,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
inference(cnf_transformation,[],[f3731]) ).
cnf(c_51,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
inference(cnf_transformation,[],[f3732]) ).
cnf(c_101,plain,
( ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
| ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
| ~ class_Fields_Olinordered__field(X0)
| c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Otimes__class_Otimes(X0,X1),X3),X2) ),
inference(cnf_transformation,[],[f3783]) ).
cnf(c_1661,plain,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5407]) ).
cnf(c_1777,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(cnf_transformation,[],[f5523]) ).
cnf(c_16704,plain,
( X0 != tc_RealDef_Oreal
| ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3))
| ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
| c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Otimes__class_Otimes(X0,X1),X3),X2) ),
inference(resolution_lifted,[status(thm)],[c_101,c_1661]) ).
cnf(c_16705,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0),X2),X1) ),
inference(unflattening,[status(thm)],[c_16704]) ).
cnf(c_43000,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e) ),
inference(instantiation,[status(thm)],[c_16705]) ).
cnf(c_43001,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_43000,c_1777,c_51,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW216+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 22:50:52 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 28.16/4.72 % SZS status Started for theBenchmark.p
% 28.16/4.72 % SZS status Theorem for theBenchmark.p
% 28.16/4.72
% 28.16/4.72 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 28.16/4.72
% 28.16/4.72 ------ iProver source info
% 28.16/4.72
% 28.16/4.72 git: date: 2023-05-31 18:12:56 +0000
% 28.16/4.72 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 28.16/4.72 git: non_committed_changes: false
% 28.16/4.72 git: last_make_outside_of_git: false
% 28.16/4.72
% 28.16/4.72 ------ Parsing...
% 28.16/4.72 ------ Clausification by vclausify_rel & Parsing by iProver...
% 28.16/4.72
% 28.16/4.72 ------ Preprocessing... sf_s rm: 17 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe:64:0s pe_e sf_s rm: 64 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 66 0s sf_e pe_s pe_e
% 28.16/4.72
% 28.16/4.72 ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 4 0s scvd_e snvd_s sp: 0 0s snvd_e
% 28.16/4.72
% 28.16/4.72 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 28.16/4.72 ------ Proving...
% 28.16/4.72 ------ Problem Properties
% 28.16/4.72
% 28.16/4.72
% 28.16/4.72 clauses 1655
% 28.16/4.72 conjectures 1
% 28.16/4.72 EPR 89
% 28.16/4.72 Horn 1434
% 28.16/4.72 unary 609
% 28.16/4.72 binary 571
% 28.16/4.72 lits 3330
% 28.16/4.72 lits eq 963
% 28.16/4.72 fd_pure 0
% 28.16/4.72 fd_pseudo 0
% 28.16/4.72 fd_cond 131
% 28.16/4.72 fd_pseudo_cond 70
% 28.16/4.72 AC symbols 0
% 28.16/4.72
% 28.16/4.72 ------ Input Options Time Limit: Unbounded
% 28.16/4.72
% 28.16/4.72
% 28.16/4.72 ------
% 28.16/4.72 Current options:
% 28.16/4.72 ------
% 28.16/4.72
% 28.16/4.72
% 28.16/4.72
% 28.16/4.72
% 28.16/4.72 ------ Proving...
% 28.16/4.72
% 28.16/4.72
% 28.16/4.72 % SZS status Theorem for theBenchmark.p
% 28.16/4.72
% 28.16/4.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.16/4.72
% 28.16/4.72
%------------------------------------------------------------------------------