%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG439-1 : 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 : 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 12:54:24 PM UTC 2026
% Result : Unsatisfiable 4.15s 1.28s
% Output : CNFRefutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f942,axiom,
! [X0,X1] : X0 = c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mpoly__base__conv_I2_J_0) ).
fof(f943,plain,
! [X0,X1] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0,
inference(reorient_equations,[],[f942]) ).
fof(f944,negated_conjecture,
( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_y
| v_c != v_y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f945,plain,
( v_y != c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex)
| v_c != v_y ),
inference(reorient_equations,[],[f944]) ).
fof(f946,negated_conjecture,
( v_c = v_y
| c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f947,plain,
( v_c = v_y
| v_y = c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) ),
inference(reorient_equations,[],[f946]) ).
tcf(c_965,negated_conjecture,
( ( v_c != v_y )
| ( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_y ) ),
inference(cnf_transformation,[],[f945]) ).
tcf(c_966,negated_conjecture,
( ( v_c = v_y )
| ( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y ) ),
inference(cnf_transformation,[],[f947]) ).
tcf(c_967,plain,
! [X0: $i,X1: $i] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0,
inference(cnf_transformation,[],[f943]) ).
tcf(c_1377,plain,
( ( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_y )
| ( v_c != v_y ) ),
inference(prop_impl_just,[status(thm)],[c_965]) ).
tcf(c_1378,plain,
( ( v_c != v_y )
| ( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_y ) ),
inference(renaming,[status(thm)],[c_1377]) ).
tcf(c_1379,plain,
( ( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y )
| ( v_c = v_y ) ),
inference(prop_impl_just,[status(thm)],[c_966]) ).
tcf(c_1380,plain,
( ( v_c = v_y )
| ( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y ) ),
inference(renaming,[status(thm)],[c_1379]) ).
tcf(c_3479,plain,
v_c = v_y,
inference(demodulation,[status(thm)],[c_1380,c_967]) ).
tcf(c_3620,plain,
( ( v_c != v_y )
| ( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_c ) ),
inference(light_normalisation,[status(thm)],[c_1378,c_3479]) ).
tcf(c_3621,plain,
v_c != v_c,
inference(demodulation,[status(thm)],[c_3620,c_967,c_3479]) ).
tcf(c_3622,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_3621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG439-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 05:34:02 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 4.15/1.28 % SZS status Started for theBenchmark.p
% 4.15/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.15/1.28
% 4.15/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.15/1.28
% 4.15/1.28 % ------ iProver source info
% 4.15/1.28
% 4.15/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 4.15/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.15/1.28 % git: non_committed_changes: false
% 4.15/1.28
% 4.15/1.28 % ------ Parsing...% successful
% 4.15/1.28
% 4.15/1.28
% 4.15/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.15/1.28
% 4.15/1.28 % ------ Preprocessing...%
% 4.15/1.28
% 4.15/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.15/1.28
% 4.15/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.15/1.28
% 4.15/1.28
%------------------------------------------------------------------------------