%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG432-1 : 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 : n014.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 12:54:23 PM UTC 2026
% Result : Unsatisfiable 1.90s 1.08s
% Output : CNFRefutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 19 unt; 0 def)
% Number of atoms : 23 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f956,axiom,
! [X2,X3,X0,X1] :
( c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X3,c_Polynomial_Opoly(X2,X3,X0),X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__pCons_0) ).
fof(f982,axiom,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mpoly__base__conv_I1_J_0) ).
fof(f984,axiom,
! [X0,X1] : X0 = c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mpoly__base__conv_I2_J_0) ).
fof(f985,plain,
! [X0,X1] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0,
inference(reorient_equations,[],[f984]) ).
fof(f990,negated_conjecture,
c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f991,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),
inference(reorient_equations,[],[f990]) ).
fof(f992,negated_conjecture,
c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f993,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),
inference(reorient_equations,[],[f992]) ).
fof(f1111,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
tcf(c_1694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opoly(X3,X2,X0),X0),X0) = c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X3,X0),X2,X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f956]) ).
tcf(c_1709,plain,
! [X0: $i] : c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f982]) ).
tcf(c_1711,plain,
! [X0: $i,X1: $i] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0,
inference(cnf_transformation,[],[f985]) ).
tcf(c_1715,negated_conjecture,
c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f991]) ).
tcf(c_1716,negated_conjecture,
c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f993]) ).
tcf(c_1834,plain,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1111]) ).
tcf(c_2199,plain,
! [X0: $i,X1: $i,X2: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_OpCons(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1834,c_1694]) ).
tcf(c_2359,plain,
! [X0: $i,X1: $i] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1709,c_2199]) ).
tcf(c_2361,plain,
! [X0: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(v_x,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1715,c_2199]) ).
tcf(c_2977,plain,
! [X0: $i,X1: $i] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(demodulation,[status(thm)],[c_2359,c_1711]) ).
tcf(c_2978,plain,
! [X0: $i] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = X0,
inference(superposition,[status(thm)],[c_2361,c_2977]) ).
tcf(c_2980,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1716,c_2978]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG432-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 05:38:02 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.90/1.08 % SZS status Started for theBenchmark.p
% 1.90/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 1.90/1.08
% 1.90/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.90/1.08
% 1.90/1.08 % ------ iProver source info
% 1.90/1.08
% 1.90/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 1.90/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.90/1.08 % git: non_committed_changes: false
% 1.90/1.08
% 1.90/1.08 % ------ Parsing...% successful
% 1.90/1.08
% 1.90/1.08
% 1.90/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.90/1.08 % ------ Proving...
% 1.90/1.08 % ------ Problem Properties
% 1.90/1.08
% 1.90/1.08 %
% 1.90/1.08 % clauses 931
% 1.90/1.08 % conjectures 2
% 1.90/1.08 % EPR 168
% 1.90/1.08 % Horn 823
% 1.90/1.08 % unary 170
% 1.90/1.08 % binary 372
% 1.90/1.08 % lits 2340
% 1.90/1.08 % lits eq 656
% 1.90/1.08 % fd_pure 0
% 1.90/1.08 % fd_pseudo 0
% 1.90/1.08 % fd_cond 5
% 1.90/1.08 % fd_pseudo_cond 115
% 1.90/1.08 % AC symbols 0
% 1.90/1.08
% 1.90/1.08 % ------ Input Options Time Limit: Unbounded
% 1.90/1.08
% 1.90/1.08
% 1.90/1.08 % ------
% 1.90/1.08 % Current options:
% 1.90/1.08 % ------
% 1.90/1.08
% 1.90/1.08
% 1.90/1.08 %
% 1.90/1.08
% 1.90/1.08 % ------ Proving...
% 1.90/1.08 %
% 1.90/1.08
% 1.90/1.08 % ------ Proving...
% 1.90/1.08 %
% 1.90/1.08
% 1.90/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 1.90/1.08
% 1.90/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.90/1.08
% 1.90/1.08
%------------------------------------------------------------------------------