TSTP Solution File: SWW284+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW284+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 00:38:43 EDT 2023
% Result : Theorem 96.75s 13.87s
% Output : CNFRefutation 96.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 27 unt; 0 def)
% Number of atoms : 89 ( 58 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 74 ( 34 ~; 27 |; 3 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 4 sgn; 34 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ! [X2] : hAPP(X1,X2) = hAPP(X0,X2)
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ext) ).
fof(f2,axiom,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pe) ).
fof(f3,axiom,
! [X3,X4] :
( class_Rings_Ocomm__semiring__0(X4)
=> hAPP(c_Polynomial_Opoly(X4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))),X3) = c_Groups_Ozero__class_Ozero(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__0) ).
fof(f4,axiom,
! [X5,X4] :
( ( class_Rings_Oidom(X4)
& class_Int_Oring__char__0(X4) )
=> ( c_Polynomial_Opoly(X4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))) = c_Polynomial_Opoly(X4,X5)
<=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)) = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__zero) ).
fof(f1102,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(f1115,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Int_Oring__char__0) ).
fof(f1122,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oidom) ).
fof(f1180,axiom,
! [X2] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1181,conjecture,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f1182,negated_conjecture,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q,
inference(negated_conjecture,[],[f1181]) ).
fof(f1183,plain,
! [X0,X1] :
( class_Rings_Ocomm__semiring__0(X1)
=> hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) = c_Groups_Ozero__class_Ozero(X1) ),
inference(rectify,[],[f3]) ).
fof(f1184,plain,
! [X0,X1] :
( ( class_Rings_Oidom(X1)
& class_Int_Oring__char__0(X1) )
=> ( c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Polynomial_Opoly(X1,X0)
<=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0 ) ),
inference(rectify,[],[f4]) ).
fof(f2222,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0),
inference(rectify,[],[f1180]) ).
fof(f2223,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q,
inference(flattening,[],[f1182]) ).
fof(f2263,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] : hAPP(X1,X2) != hAPP(X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f2264,plain,
! [X0,X1] :
( hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(ennf_transformation,[],[f1183]) ).
fof(f2265,plain,
! [X0,X1] :
( ( c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Polynomial_Opoly(X1,X0)
<=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0 )
| ~ class_Rings_Oidom(X1)
| ~ class_Int_Oring__char__0(X1) ),
inference(ennf_transformation,[],[f1184]) ).
fof(f2266,plain,
! [X0,X1] :
( ( c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Polynomial_Opoly(X1,X0)
<=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0 )
| ~ class_Rings_Oidom(X1)
| ~ class_Int_Oring__char__0(X1) ),
inference(flattening,[],[f2265]) ).
fof(f3390,plain,
! [X0,X1] :
( ? [X2] : hAPP(X1,X2) != hAPP(X0,X2)
=> hAPP(X1,sK4(X0,X1)) != hAPP(X0,sK4(X0,X1)) ),
introduced(choice_axiom,[]) ).
fof(f3391,plain,
! [X0,X1] :
( X0 = X1
| hAPP(X1,sK4(X0,X1)) != hAPP(X0,sK4(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f2263,f3390]) ).
fof(f3392,plain,
! [X0,X1] :
( ( ( c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Polynomial_Opoly(X1,X0)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) != X0 )
& ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0
| c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) != c_Polynomial_Opoly(X1,X0) ) )
| ~ class_Rings_Oidom(X1)
| ~ class_Int_Oring__char__0(X1) ),
inference(nnf_transformation,[],[f2266]) ).
fof(f3693,plain,
! [X0,X1] :
( X0 = X1
| hAPP(X1,sK4(X0,X1)) != hAPP(X0,sK4(X0,X1)) ),
inference(cnf_transformation,[],[f3391]) ).
fof(f3694,plain,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[],[f2]) ).
fof(f3695,plain,
! [X0,X1] :
( hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(cnf_transformation,[],[f2264]) ).
fof(f3696,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0
| c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) != c_Polynomial_Opoly(X1,X0)
| ~ class_Rings_Oidom(X1)
| ~ class_Int_Oring__char__0(X1) ),
inference(cnf_transformation,[],[f3392]) ).
fof(f5125,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1102]) ).
fof(f5138,plain,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1115]) ).
fof(f5145,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1122]) ).
fof(f5203,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0),
inference(cnf_transformation,[],[f2222]) ).
fof(f5204,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q,
inference(cnf_transformation,[],[f2223]) ).
cnf(c_49,plain,
( hAPP(X0,sK4(X0,X1)) != hAPP(X1,sK4(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f3693]) ).
cnf(c_50,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p,
inference(cnf_transformation,[],[f3694]) ).
cnf(c_51,plain,
( ~ class_Rings_Ocomm__semiring__0(X0)
| hAPP(c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0) ),
inference(cnf_transformation,[],[f3695]) ).
cnf(c_52,plain,
( c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) != c_Polynomial_Opoly(X0,X1)
| ~ class_Rings_Oidom(X0)
| ~ class_Int_Oring__char__0(X0)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X1 ),
inference(cnf_transformation,[],[f3696]) ).
cnf(c_1422,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5125]) ).
cnf(c_1435,plain,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5138]) ).
cnf(c_1442,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5145]) ).
cnf(c_1500,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5203]) ).
cnf(c_1501,negated_conjecture,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q,
inference(cnf_transformation,[],[f5204]) ).
cnf(c_3532,plain,
v_p != v_q,
inference(demodulation,[status(thm)],[c_1501,c_50]) ).
cnf(c_3535,plain,
( hAPP(X0,sK4(X0,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q))) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q) = X0 ),
inference(superposition,[status(thm)],[c_1500,c_49]) ).
cnf(c_3637,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1422,c_51]) ).
cnf(c_3639,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_3637,c_50]) ).
cnf(c_3662,plain,
c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p) = c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),
inference(superposition,[status(thm)],[c_3639,c_3535]) ).
cnf(c_10201,plain,
( c_Polynomial_Opoly(tc_Complex_Ocomplex,X0) != c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p)
| ~ class_Rings_Oidom(tc_Complex_Ocomplex)
| ~ class_Int_Oring__char__0(tc_Complex_Ocomplex)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 ),
inference(superposition,[status(thm)],[c_50,c_52]) ).
cnf(c_10204,plain,
( c_Polynomial_Opoly(tc_Complex_Ocomplex,X0) != c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_10201,c_1442,c_1435,c_10201]) ).
cnf(c_10209,plain,
( c_Polynomial_Opoly(tc_Complex_Ocomplex,X0) != c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q)
| X0 = v_p ),
inference(light_normalisation,[status(thm)],[c_10204,c_50,c_3662]) ).
cnf(c_61816,plain,
v_p = v_q,
inference(equality_resolution,[status(thm)],[c_10209]) ).
cnf(c_61817,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_61816,c_3532]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW284+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 17:55:34 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 96.75/13.87 % SZS status Started for theBenchmark.p
% 96.75/13.87 % SZS status Theorem for theBenchmark.p
% 96.75/13.87
% 96.75/13.87 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 96.75/13.87
% 96.75/13.87 ------ iProver source info
% 96.75/13.87
% 96.75/13.87 git: date: 2023-05-31 18:12:56 +0000
% 96.75/13.87 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 96.75/13.87 git: non_committed_changes: false
% 96.75/13.87 git: last_make_outside_of_git: false
% 96.75/13.87
% 96.75/13.87 ------ Parsing...
% 96.75/13.87 ------ Clausification by vclausify_rel & Parsing by iProver...
% 96.75/13.87
% 96.75/13.87 ------ Preprocessing... sf_s rm: 6 0s sf_e sf_s rm: 2 0s sf_e
% 96.75/13.87
% 96.75/13.87 ------ Preprocessing...
% 96.75/13.87
% 96.75/13.87 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 96.75/13.87 ------ Proving...
% 96.75/13.87 ------ Problem Properties
% 96.75/13.87
% 96.75/13.87
% 96.75/13.87 clauses 1256
% 96.75/13.87 conjectures 1
% 96.75/13.87 EPR 149
% 96.75/13.87 Horn 1080
% 96.75/13.87 unary 276
% 96.75/13.87 binary 480
% 96.75/13.87 lits 2964
% 96.75/13.87 lits eq 944
% 96.75/13.87 fd_pure 0
% 96.75/13.87 fd_pseudo 0
% 96.75/13.87 fd_cond 48
% 96.75/13.87 fd_pseudo_cond 165
% 96.75/13.87 AC symbols 0
% 96.75/13.87
% 96.75/13.87 ------ Input Options Time Limit: Unbounded
% 96.75/13.87
% 96.75/13.87
% 96.75/13.87 ------
% 96.75/13.87 Current options:
% 96.75/13.87 ------
% 96.75/13.87
% 96.75/13.87
% 96.75/13.87
% 96.75/13.87
% 96.75/13.87 ------ Proving...
% 96.75/13.87
% 96.75/13.87
% 96.75/13.87 % SZS status Theorem for theBenchmark.p
% 96.75/13.87
% 96.75/13.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 96.75/13.87
% 96.75/13.88
%------------------------------------------------------------------------------