%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG348-1 : 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 : n001.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 8.55s 1.94s
% Output : CNFRefutation 8.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f949,axiom,
! [X2,X3,X0,X1] :
( c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X3,X0) = c_Polynomial_Opoly(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__offset__poly_0) ).
fof(f962,negated_conjecture,
c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_a,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1070,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_1813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X3,X0) = c_Polynomial_Opoly(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f949]) ).
tcf(c_1823,negated_conjecture,
c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_a,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f962]) ).
tcf(c_1931,plain,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1070]) ).
tcf(c_2492,plain,
! [X0: $i,X1: $i,X2: $i] : c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_Polynomial_Opoly(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1931,c_1813]) ).
tcf(c_2494,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1823,c_2492]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG348-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.41 % Computer : n001.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.41 % CPULimit : 300
% 0.17/0.41 % WCLimit : 300
% 0.17/0.41 % DateTime : Fri Sep 25 05:32:09 UTC 2026
% 0.17/0.41 % CPUTime :
% 0.17/0.41 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.47 Running first-order theorem proving
% 0.17/0.47 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
% 0.17/0.49
% 0.17/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.49
% 0.17/0.49 % Detected problem language: tptp
% 0.17/0.50 % Proving...
% 8.55/1.94 % SZS status Started for theBenchmark.p
% 8.55/1.94 % SZS status Unsatisfiable for theBenchmark.p
% 8.55/1.94
% 8.55/1.94 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.55/1.94
% 8.55/1.94 % ------ iProver source info
% 8.55/1.94
% 8.55/1.94 % git: date: 2026-07-19 20:42:38 +0200
% 8.55/1.94 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.55/1.94 % git: non_committed_changes: false
% 8.55/1.94
% 8.55/1.94 % ------ Parsing...% successful
% 8.55/1.94
% 8.55/1.94
% 8.55/1.94 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.55/1.94 % ------ Proving...
% 8.55/1.94 % ------ Problem Properties
% 8.55/1.94
% 8.55/1.94 %
% 8.55/1.94 % clauses 973
% 8.55/1.94 % conjectures 1
% 8.55/1.94 % EPR 181
% 8.55/1.94 % Horn 860
% 8.55/1.94 % unary 137
% 8.55/1.94 % binary 332
% 8.55/1.94 % lits 2723
% 8.55/1.94 % lits eq 461
% 8.55/1.94 % fd_pure 0
% 8.55/1.94 % fd_pseudo 0
% 8.55/1.94 % fd_cond 0
% 8.55/1.94 % fd_pseudo_cond 79
% 8.55/1.94 % AC symbols 0
% 8.55/1.94
% 8.55/1.94 % ------ Input Options Time Limit: Unbounded
% 8.55/1.94
% 8.55/1.94
% 8.55/1.94 % ------
% 8.55/1.94 % Current options:
% 8.55/1.94 % ------
% 8.55/1.94
% 8.55/1.94
% 8.55/1.94 %
% 8.55/1.94
% 8.55/1.94 % ------ Proving...
% 8.55/1.94 %
% 8.55/1.94
% 8.55/1.94 % ------ Proving...
% 8.55/1.94 %
% 8.55/1.94
% 8.55/1.94 % SZS status Unsatisfiable for theBenchmark.p
% 8.55/1.94
% 8.55/1.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.55/1.94
% 8.55/1.94
%------------------------------------------------------------------------------