%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG438-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 3.30s 11.36s
% Output : CNFRefutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 11 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 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 : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f299,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X1,X2,X0),X3,tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X3,X0),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X0),tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__pCons__left_0) ).
fof(f413,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f424,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
tcf(c_441,negated_conjecture,
c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[],[f413]) ).
tcf(c_443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X0),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X3,X2,tc_Polynomial_Opoly(X0)),X0),tc_Polynomial_Opoly(X0)) = c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X1,X3,X0),X2,tc_Polynomial_Opoly(X0)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_461,plain,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f424]) ).
tcf(c_3606,plain,
( ( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
inference(instantiation,[status(thm)],[c_443]) ).
tcf(c_3607,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3606,c_441,c_461]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG438-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.19/10.47 % Computer : n004.cluster.edu
% 0.19/10.47 % Model : x86_64 x86_64
% 0.19/10.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/10.47 % Memory : 8046.5625MB
% 0.19/10.47 % OS : Linux 6.8.0-71-generic
% 0.19/10.47 % CPULimit : 300
% 0.19/10.47 % WCLimit : 300
% 0.19/10.47 % DateTime : Fri Sep 25 05:38:47 UTC 2026
% 0.19/10.48 % CPUTime :
% 0.19/10.48 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.24/10.53 Running first-order theorem proving
% 0.24/10.53 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/10.55
% 0.24/10.55 % ======== iProver multi-core TPTP/SMT =========
% 0.24/10.55
% 0.24/10.55 % Detected problem language: tptp
% 0.24/10.56 % Proving...
% 3.30/11.36 % SZS status Started for theBenchmark.p
% 3.30/11.36 % SZS status Unsatisfiable for theBenchmark.p
% 3.30/11.36
% 3.30/11.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.30/11.36
% 3.30/11.36 % ------ iProver source info
% 3.30/11.36
% 3.30/11.36 % git: date: 2026-07-19 20:42:38 +0200
% 3.30/11.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.30/11.36 % git: non_committed_changes: false
% 3.30/11.36
% 3.30/11.36 % ------ Parsing...% successful
% 3.30/11.36
% 3.30/11.36
% 3.30/11.36 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.30/11.36
% 3.30/11.36 % ------ Preprocessing... sup_sim: 0 sf_s rm: 68 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e %
% 3.30/11.36
% 3.30/11.36 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.30/11.36
% 3.30/11.36 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.30/11.36 % ------ Proving...
% 3.30/11.36 % ------ Problem Properties
% 3.30/11.36
% 3.30/11.36 %
% 3.30/11.36 % clauses 58
% 3.30/11.36 % conjectures 1
% 3.30/11.36 % EPR 4
% 3.30/11.36 % Horn 57
% 3.30/11.36 % unary 5
% 3.30/11.36 % binary 49
% 3.30/11.36 % lits 116
% 3.30/11.36 % lits eq 55
% 3.30/11.36 % fd_pure 0
% 3.30/11.36 % fd_pseudo 0
% 3.30/11.36 % fd_cond 0
% 3.30/11.36 % fd_pseudo_cond 4
% 3.30/11.36 % AC symbols 0
% 3.30/11.36
% 3.30/11.36 % ------ Schedule dynamic 5 is on
% 3.30/11.36
% 3.30/11.36 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.30/11.36
% 3.30/11.36
% 3.30/11.36 % ------
% 3.30/11.36 % Current options:
% 3.30/11.36 % ------
% 3.30/11.36
% 3.30/11.36
% 3.30/11.36 %
% 3.30/11.36
% 3.30/11.36 % ------ Proving...
% 3.30/11.36 %
% 3.30/11.36
% 3.30/11.36 % SZS status Unsatisfiable for theBenchmark.p
% 3.30/11.36
% 3.30/11.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.30/11.36
% 3.30/11.36
%------------------------------------------------------------------------------