%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG424-1 : 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 : n017.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 9.26s 4.07s
% Output : CNFRefutation 9.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 34 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1114,axiom,
v_pa____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pne_0) ).
fof(f1139,axiom,
! [X2,X0,X1] :
( c_Polynomial_Opoly(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| c_Polynomial_Oorder(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Ring__and__Field_Oidom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f1140,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) != c_Polynomial_Opoly(X2,X1,X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2
| c_HOL_Ozero__class_Ozero(tc_nat) != c_Polynomial_Oorder(X1,X2,X0)
| ~ class_Ring__and__Field_Oidom(X0) ),
inference(reorient_equations,[],[f1139]) ).
fof(f1141,axiom,
c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f1142,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex),
inference(reorient_equations,[],[f1141]) ).
fof(f1143,axiom,
( c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
fof(f1144,plain,
( c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(reorient_equations,[],[f1143]) ).
fof(f1145,negated_conjecture,
~ c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1214,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
tcf(c_1082,negated_conjecture,
~ c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[],[f1145]) ).
tcf(c_1127,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____,
inference(cnf_transformation,[],[f1114]) ).
tcf(c_1128,plain,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1214]) ).
tcf(c_1132,plain,
( c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ( c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(cnf_transformation,[],[f1144]) ).
tcf(c_1317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0 )
| ~ class_Ring__and__Field_Oidom(X2)
| ( c_Polynomial_Oorder(X1,X0,X2) != c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_Polynomial_Opoly(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2) ) ),
inference(cnf_transformation,[],[f1140]) ).
tcf(c_1319,plain,
c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1142]) ).
tcf(c_1686,plain,
c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(global_subsumption_just,[status(thm)],[c_1132,c_1082,c_1132]) ).
tcf(c_25307,plain,
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_pa____ )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ( c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat) ) ),
inference(superposition,[status(thm)],[c_1319,c_1317]) ).
tcf(c_25314,plain,
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_pa____ )
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(ground_joinability,[status(thm)],[c_25307,c_1686]) ).
tcf(c_25315,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_25314,c_1127,c_1128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG424-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.19/0.45 % Computer : n017.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Fri Sep 25 05:32:32 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 0.23/0.54
% 0.23/0.54 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.54
% 0.23/0.54 % Detected problem language: tptp
% 0.23/0.56 % Proving...
% 9.26/4.07 % SZS status Started for theBenchmark.p
% 9.26/4.07 % SZS status Unsatisfiable for theBenchmark.p
% 9.26/4.07
% 9.26/4.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.26/4.07
% 9.26/4.07 % ------ iProver source info
% 9.26/4.07
% 9.26/4.07 % git: date: 2026-07-19 20:42:38 +0200
% 9.26/4.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.26/4.07 % git: non_committed_changes: false
% 9.26/4.07
% 9.26/4.07 % ------ Parsing...% successful
% 9.26/4.07
% 9.26/4.07
% 9.26/4.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 9.26/4.07
% 9.26/4.07 % ------ Preprocessing... sup_sim: 2 sf_s rm: 81 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 27 sf_s rm: 6 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e %
% 9.26/4.07
% 9.26/4.07 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 9.26/4.07
% 9.26/4.07 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.26/4.07 % ------ Proving...
% 9.26/4.07 % ------ Problem Properties
% 9.26/4.07
% 9.26/4.07 %
% 9.26/4.07 % clauses 264
% 9.26/4.07 % conjectures 1
% 9.26/4.07 % EPR 15
% 9.26/4.07 % Horn 212
% 9.26/4.07 % unary 91
% 9.26/4.07 % binary 107
% 9.26/4.07 % lits 520
% 9.26/4.07 % lits eq 263
% 9.26/4.07 % fd_pure 0
% 9.26/4.07 % fd_pseudo 0
% 9.26/4.07 % fd_cond 37
% 9.26/4.07 % fd_pseudo_cond 15
% 9.26/4.07 % AC symbols 0
% 9.26/4.07
% 9.26/4.07 % ------ Schedule dynamic 5 is on
% 9.26/4.07
% 9.26/4.07 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.26/4.07
% 9.26/4.07
% 9.26/4.07 % ------
% 9.26/4.07 % Current options:
% 9.26/4.07 % ------
% 9.26/4.07
% 9.26/4.07
% 9.26/4.07 %
% 9.26/4.07
% 9.26/4.07 % ------ Proving...
% 9.26/4.07 %
% 9.26/4.07
% 9.26/4.07 % SZS status Unsatisfiable for theBenchmark.p
% 9.26/4.07
% 9.26/4.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.26/4.07
% 9.26/4.07
%------------------------------------------------------------------------------