%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG347-1 : 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 : n007.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 12:54:05 PM UTC 2026
% Result : Unsatisfiable 15.90s 3.05s
% Output : CNFRefutation 15.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 39 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1295,axiom,
! [X2,X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_offset__poly__eq__0__iff_0) ).
fof(f1296,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X1
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) != c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(reorient_equations,[],[f1295]) ).
fof(f1306,axiom,
! [X2,X0,X1] :
( X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X2,X0),X0) = c_Suc(c_Polynomial_Odegree(X2,X0))
| ~ class_HOL_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_degree__pCons__eq_0) ).
fof(f1307,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2
| c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X2,X0),X0) = c_Suc(c_Polynomial_Odegree(X2,X0))
| ~ class_HOL_Ozero(X0) ),
inference(reorient_equations,[],[f1306]) ).
fof(f1310,negated_conjecture,
class_Ring__and__Field_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f1311,negated_conjecture,
c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a) = c_Polynomial_Odegree(v_pa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1312,negated_conjecture,
v_pa != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1313,negated_conjecture,
c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a) != c_Suc(c_Polynomial_Odegree(v_pa,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1322,axiom,
! [X0] :
( class_HOL_Ozero(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ocomm__semiring__0_HOL_Ozero) ).
tcf(c_1179,negated_conjecture,
class_Ring__and__Field_Ocomm__semiring__0(t_a),
inference(cnf_transformation,[],[f1310]) ).
tcf(c_1180,negated_conjecture,
c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a) = c_Polynomial_Odegree(v_pa,t_a),
inference(cnf_transformation,[],[f1311]) ).
tcf(c_1181,negated_conjecture,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != v_pa,
inference(cnf_transformation,[],[f1312]) ).
tcf(c_1182,negated_conjecture,
c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a) != c_Suc(c_Polynomial_Odegree(v_pa,t_a)),
inference(cnf_transformation,[],[f1313]) ).
tcf(c_1185,plain,
! [X0: $i] :
( class_HOL_Ozero(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f1322]) ).
tcf(c_1203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2 )
| ( c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X2,X0),X0) = c_Suc(c_Polynomial_Odegree(X2,X0)) )
| ~ class_HOL_Ozero(X0) ),
inference(cnf_transformation,[],[f1307]) ).
tcf(c_1215,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0 )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2)
| ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) ),
inference(cnf_transformation,[],[f1296]) ).
tcf(c_15423,plain,
class_HOL_Ozero(t_a),
inference(superposition,[status(thm)],[c_1179,c_1185]) ).
tcf(c_28102,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = X1 )
| ( c_Polynomial_Odegree(c_Polynomial_OpCons(X0,X1,t_a),t_a) = c_Suc(c_Polynomial_Odegree(X1,t_a)) ) ),
inference(superposition,[status(thm)],[c_15423,c_1203]) ).
tcf(c_35381,plain,
( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
| ( c_Suc(c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a)) != c_Suc(c_Polynomial_Odegree(v_pa,t_a)) ) ),
inference(superposition,[status(thm)],[c_28102,c_1182]) ).
tcf(c_35397,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(ground_joinability,[status(thm)],[c_35381,c_1180]) ).
tcf(c_35491,plain,
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = v_pa )
| ~ class_Ring__and__Field_Ocomm__semiring__0(t_a) ),
inference(superposition,[status(thm)],[c_35397,c_1215]) ).
tcf(c_35494,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_35491,c_1181,c_1179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG347-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.42 % Computer : n007.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Fri Sep 25 05:24:39 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.49 Running first-order theorem proving
% 0.15/0.49 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
% 0.24/0.51
% 0.24/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.51
% 0.24/0.51 % Detected problem language: tptp
% 0.24/0.53 % Proving...
% 15.90/3.05 % SZS status Started for theBenchmark.p
% 15.90/3.05 % SZS status Unsatisfiable for theBenchmark.p
% 15.90/3.05
% 15.90/3.05 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.90/3.05
% 15.90/3.05 % ------ iProver source info
% 15.90/3.05
% 15.90/3.05 % git: date: 2026-07-19 20:42:38 +0200
% 15.90/3.05 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.90/3.05 % git: non_committed_changes: false
% 15.90/3.05
% 15.90/3.05 % ------ Parsing...% successful
% 15.90/3.05
% 15.90/3.05
% 15.90/3.05 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 15.90/3.05
% 15.90/3.05 % ------ Preprocessing... sup_sim: 4 sf_s rm: 85 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 9 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 %
% 15.90/3.05
% 15.90/3.05 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 15.90/3.05
% 15.90/3.05 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 15.90/3.05 % ------ Proving...
% 15.90/3.05 % ------ Problem Properties
% 15.90/3.05
% 15.90/3.05 %
% 15.90/3.05 % clauses 229
% 15.90/3.05 % conjectures 4
% 15.90/3.05 % EPR 14
% 15.90/3.05 % Horn 198
% 15.90/3.05 % unary 58
% 15.90/3.05 % binary 125
% 15.90/3.05 % lits 453
% 15.90/3.05 % lits eq 187
% 15.90/3.05 % fd_pure 0
% 15.90/3.05 % fd_pseudo 0
% 15.90/3.05 % fd_cond 18
% 15.90/3.05 % fd_pseudo_cond 16
% 15.90/3.05 % AC symbols 0
% 15.90/3.05
% 15.90/3.05 % ------ Schedule dynamic 5 is on
% 15.90/3.05
% 15.90/3.05 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 15.90/3.05
% 15.90/3.05
% 15.90/3.05 % ------
% 15.90/3.05 % Current options:
% 15.90/3.05 % ------
% 15.90/3.05
% 15.90/3.05
% 15.90/3.05 %
% 15.90/3.05
% 15.90/3.05 % ------ Proving...
% 15.90/3.05 %
% 15.90/3.05
% 15.90/3.05 % SZS status Unsatisfiable for theBenchmark.p
% 15.90/3.05
% 15.90/3.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.90/3.05
% 15.90/3.05
%------------------------------------------------------------------------------