%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG417-1 : 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 12:54:12 PM UTC 2026
% Result : Unsatisfiable 8.01s 1.95s
% Output : CNFRefutation 8.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 12 unt; 0 def)
% Number of atoms : 18 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 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 : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f305,axiom,
! [X0] :
( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pCons__0__0_0) ).
fof(f306,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
| ~ class_HOL_Ozero(X0) ),
inference(reorient_equations,[],[f305]) ).
fof(f407,axiom,
v_s____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sne_0) ).
fof(f501,axiom,
v_s____ = c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_kpn_0) ).
fof(f597,negated_conjecture,
v_k____ = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f598,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_k____,
inference(reorient_equations,[],[f597]) ).
fof(f692,axiom,
class_HOL_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__HOL_Ozero) ).
tcf(c_588,negated_conjecture,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_k____,
inference(cnf_transformation,[],[f598]) ).
tcf(c_593,plain,
c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = v_s____,
inference(cnf_transformation,[],[f501]) ).
tcf(c_687,plain,
! [X0: $i] :
( ( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) )
| ~ class_HOL_Ozero(X0) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_691,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_s____,
inference(cnf_transformation,[],[f407]) ).
tcf(c_733,plain,
class_HOL_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f692]) ).
tcf(c_6608,plain,
c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(superposition,[status(thm)],[c_733,c_687]) ).
tcf(c_6610,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_s____,
inference(light_normalisation,[status(thm)],[c_6608,c_593,c_588]) ).
tcf(c_6611,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6610,c_691]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG417-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.57 % Computer : n014.cluster.edu
% 0.08/0.57 % Model : x86_64 x86_64
% 0.08/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.57 % Memory : 8046.5625MB
% 0.08/0.57 % OS : Linux 6.8.0-71-generic
% 0.08/0.57 % CPULimit : 300
% 0.08/0.57 % WCLimit : 300
% 0.08/0.57 % DateTime : Fri Sep 25 05:36:33 UTC 2026
% 0.08/0.57 % CPUTime :
% 0.08/0.57 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.61 Running first-order theorem proving
% 0.08/0.61 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
% 0.08/0.62
% 0.08/0.62 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.62
% 0.08/0.62 % Detected problem language: tptp
% 0.13/0.63 % Proving...
% 8.01/1.95 % SZS status Started for theBenchmark.p
% 8.01/1.95 % SZS status Unsatisfiable for theBenchmark.p
% 8.01/1.95
% 8.01/1.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.01/1.95
% 8.01/1.95 % ------ iProver source info
% 8.01/1.95
% 8.01/1.95 % git: date: 2026-07-19 20:42:38 +0200
% 8.01/1.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.01/1.95 % git: non_committed_changes: false
% 8.01/1.95
% 8.01/1.95 % ------ Parsing...% successful
% 8.01/1.95
% 8.01/1.95
% 8.01/1.95 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.01/1.95
% 8.01/1.95 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e %
% 8.01/1.95
% 8.01/1.95 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.01/1.95
% 8.01/1.95 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.01/1.95 % ------ Proving...
% 8.01/1.95 % ------ Problem Properties
% 8.01/1.95
% 8.01/1.95 %
% 8.01/1.95 % clauses 216
% 8.01/1.95 % conjectures 1
% 8.01/1.95 % EPR 6
% 8.01/1.95 % Horn 170
% 8.01/1.95 % unary 99
% 8.01/1.95 % binary 77
% 8.01/1.95 % lits 384
% 8.01/1.95 % lits eq 266
% 8.01/1.95 % fd_pure 0
% 8.01/1.95 % fd_pseudo 0
% 8.01/1.95 % fd_cond 38
% 8.01/1.95 % fd_pseudo_cond 7
% 8.01/1.95 % AC symbols 0
% 8.01/1.95
% 8.01/1.95 % ------ Schedule dynamic 5 is on
% 8.01/1.95
% 8.01/1.95 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.01/1.95
% 8.01/1.95
% 8.01/1.95 % ------
% 8.01/1.95 % Current options:
% 8.01/1.95 % ------
% 8.01/1.95
% 8.01/1.95
% 8.01/1.95 %
% 8.01/1.95
% 8.01/1.95 % ------ Proving...
% 8.01/1.95 %
% 8.01/1.95
% 8.01/1.95 % SZS status Unsatisfiable for theBenchmark.p
% 8.01/1.95
% 8.01/1.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.01/1.95
% 8.01/1.95
%------------------------------------------------------------------------------