%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG434-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 12:54:24 PM UTC 2026
% Result : Unsatisfiable 3.20s 1.19s
% Output : CNFRefutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f517,axiom,
! [X2,X3,X0,X1] :
( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0))
| c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__smult_0) ).
fof(f524,axiom,
c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f525,negated_conjecture,
~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f533,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
tcf(c_850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Polynomial_Osmult(X3,X1,X2),tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X2)) ),
inference(cnf_transformation,[],[f517]) ).
tcf(c_857,plain,
c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[],[f524]) ).
tcf(c_858,negated_conjecture,
~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[],[f525]) ).
tcf(c_866,plain,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f533]) ).
tcf(c_1007,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[status(thm)],[c_850,c_858]) ).
tcf(c_1008,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1007,c_857,c_866]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG434-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n009.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 05:38:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 3.20/1.19 % SZS status Started for theBenchmark.p
% 3.20/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.20/1.19
% 3.20/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.20/1.19
% 3.20/1.19 % ------ iProver source info
% 3.20/1.19
% 3.20/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.20/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.20/1.19 % git: non_committed_changes: false
% 3.20/1.19
% 3.20/1.19 % ------ Parsing...% successful
% 3.20/1.19
% 3.20/1.19
% 3.20/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.20/1.19 % ------ Proving...
% 3.20/1.19 % ------ Problem Properties
% 3.20/1.19
% 3.20/1.19 %
% 3.20/1.19 % clauses 435
% 3.20/1.19 % conjectures 1
% 3.20/1.19 % EPR 35
% 3.20/1.19 % Horn 407
% 3.20/1.19 % unary 35
% 3.20/1.19 % binary 266
% 3.20/1.19 % lits 1020
% 3.20/1.19 % lits eq 380
% 3.20/1.19 % fd_pure 0
% 3.20/1.19 % fd_pseudo 0
% 3.20/1.19 % fd_cond 0
% 3.20/1.19 % fd_pseudo_cond 72
% 3.20/1.19 % AC symbols 0
% 3.20/1.19
% 3.20/1.19 % ------ Input Options Time Limit: Unbounded
% 3.20/1.19
% 3.20/1.19
% 3.20/1.19 % ------
% 3.20/1.19 % Current options:
% 3.20/1.19 % ------
% 3.20/1.19
% 3.20/1.19
% 3.20/1.19 %
% 3.20/1.19
% 3.20/1.19 % ------ Proving...
% 3.20/1.19 %
% 3.20/1.19
% 3.20/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.20/1.19
% 3.20/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.20/1.19
% 3.20/1.19
%------------------------------------------------------------------------------