%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW277+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 03:29:22 PM UTC 2026
% Result : Theorem 18.29s 3.17s
% Output : CNFRefutation 18.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 59 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 21 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 33 ( 0 sgn 32 !; 1 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_s____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096_091_058_N_Aa_M_A1_058_093_Advd_As_096) ).
fof(f921,axiom,
! [X0,X1,X2] :
( class_Divides_Osemiring__div(X2)
=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dvd__mult__div__cancel) ).
fof(f1140,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield) ).
fof(f1177,axiom,
! [X0] :
( class_Fields_Ofield(X0)
=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Divides_Osemiring__div) ).
fof(f1208,axiom,
( ? [X0] : v_s____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0)
=> v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1209,conjecture,
v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f1210,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[status(cth)],[f1209]) ).
fof(f1211,plain,
~ v_thesis____,
inference(flattening,[],[f1210]) ).
fof(f1216,plain,
( ! [X0] : v_s____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0)
| v_thesis____ ),
inference(ennf_transformation,[],[f1208]) ).
fof(f1679,plain,
! [X0] :
( ~ class_Fields_Ofield(X0)
| class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0)) ),
inference(ennf_transformation,[],[f1177]) ).
fof(f1759,plain,
! [X0,X1,X2] :
( ~ class_Divides_Osemiring__div(X2)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0 ),
inference(ennf_transformation,[],[f921]) ).
fof(f1760,plain,
! [X0,X1,X2] :
( ~ class_Divides_Osemiring__div(X2)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0 ),
inference(flattening,[],[f1759]) ).
fof(f2051,plain,
! [X0] :
( v_s____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0)
| v_thesis____ ),
inference(cnf_transformation,[],[f1216]) ).
fof(f2052,plain,
~ v_thesis____,
inference(cnf_transformation,[],[f1211]) ).
fof(f2060,plain,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_s____)),
inference(cnf_transformation,[],[f5]) ).
fof(f2844,plain,
! [X0] :
( ~ class_Fields_Ofield(X0)
| class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0)) ),
inference(cnf_transformation,[],[f1679]) ).
fof(f2845,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1140]) ).
fof(f2933,plain,
! [X2,X0,X1] :
( ~ class_Divides_Osemiring__div(X2)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0 ),
inference(cnf_transformation,[],[f1760]) ).
tcf(c_49,plain,
! [X0: $i] :
( v_thesis____
| ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0) != v_s____ ) ),
inference(cnf_transformation,[],[f2051]) ).
tcf(c_50,negated_conjecture,
~ v_thesis____,
inference(cnf_transformation,[],[f2052]) ).
tcf(c_58,plain,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_s____)),
inference(cnf_transformation,[],[f2060]) ).
tcf(c_800,plain,
! [X0: $i] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Fields_Ofield(X0) ),
inference(cnf_transformation,[],[f2844]) ).
tcf(c_801,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f2845]) ).
tcf(c_886,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)) = X2 )
| ~ class_Divides_Osemiring__div(X0)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X0),X1),X2)) ),
inference(cnf_transformation,[],[f2933]) ).
tcf(c_1460,plain,
! [X0: $i] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0) != v_s____,
inference(global_subsumption_just,[status(thm)],[c_49,c_50,c_49]) ).
tcf(c_1985,plain,
! [X0: $i] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Fields_Ofield(X0) ),
inference(prop_impl_just,[status(thm)],[c_800]) ).
tcf(c_10151,plain,
! [X0: $i] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1985,c_801]) ).
tcf(c_10152,plain,
class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_10151]) ).
tcf(c_12096,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)) = X2 )
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X0),X1),X2))
| ( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_886,c_10152]) ).
tcf(c_12097,plain,
! [X0: $i,X1: $i] :
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X0)) = X1 )
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),X1)) ),
inference(unflattening,[status(thm)],[c_12096]) ).
tcf(c_23093,plain,
! [X0: $i,X1: $i] :
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X0)) = X1 )
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),X1)) ),
inference(prop_impl_just,[status(thm)],[c_12097]) ).
tcf(c_49935,plain,
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_s____,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))) = v_s____ )
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_s____)) ),
inference(instantiation,[status(thm)],[c_23093]) ).
tcf(c_60190,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_s____,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))) != v_s____,
inference(instantiation,[status(thm)],[c_1460]) ).
tcf(c_60191,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_60190,c_49935,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW277+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Thu Sep 24 21:57:09 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.41 Running first-order theorem proving
% 0.02/0.41 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
% 0.02/0.42
% 0.02/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.42
% 0.02/0.42 % Detected problem language: tptp
% 0.02/0.43 % Proving...
% 18.29/3.17 % SZS status Started for theBenchmark.p
% 18.29/3.17 % SZS status Theorem for theBenchmark.p
% 18.29/3.17
% 18.29/3.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.29/3.17
% 18.29/3.17 % ------ iProver source info
% 18.29/3.17
% 18.29/3.17 % git: date: 2026-07-19 20:42:38 +0200
% 18.29/3.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.29/3.17 % git: non_committed_changes: false
% 18.29/3.17
% 18.29/3.17 % ------ Parsing...
% 18.29/3.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.29/3.17
% 18.29/3.17 % ------ Preprocessing... sup_sim: 77 sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 19 sf_s rm: 3 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 18.29/3.17
% 18.29/3.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 18.29/3.17
% 18.29/3.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 18.29/3.17 % ------ Proving...
% 18.29/3.17 % ------ Problem Properties
% 18.29/3.17
% 18.29/3.17 %
% 18.29/3.17 % clauses 696
% 18.29/3.17 % conjectures 0
% 18.29/3.17 % EPR 33
% 18.29/3.17 % Horn 555
% 18.29/3.17 % unary 146
% 18.29/3.17 % binary 303
% 18.29/3.17 % lits 1601
% 18.29/3.17 % lits eq 536
% 18.29/3.17 % fd_pure 0
% 18.29/3.17 % fd_pseudo 0
% 18.29/3.17 % fd_cond 76
% 18.29/3.17 % fd_pseudo_cond 52
% 18.29/3.17 % AC symbols 0
% 18.29/3.17
% 18.29/3.17 % ------ Schedule dynamic 5 is on
% 18.29/3.17
% 18.29/3.17 % ------ no conjectures: strip conj schedule
% 18.29/3.17
% 18.29/3.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 18.29/3.17
% 18.29/3.17
% 18.29/3.17 % ------
% 18.29/3.17 % Current options:
% 18.29/3.17 % ------
% 18.29/3.17
% 18.29/3.17
% 18.29/3.17 %
% 18.29/3.17
% 18.29/3.17 % ------ Proving...
% 18.29/3.17 %
% 18.29/3.17
% 18.29/3.17 % SZS status Theorem for theBenchmark.p
% 18.29/3.17
% 18.29/3.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.29/3.17
% 18.29/3.17
%------------------------------------------------------------------------------