%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV573-1 : 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 : n011.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 03:23:50 PM UTC 2026
% Result : Unsatisfiable 5.96s 1.77s
% Output : CNFRefutation 5.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 17 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1348,axiom,
! [X0] : c_RealVector_Oof__real(X0,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__of__real__def_0) ).
fof(f1351,axiom,
! [X0,X1] :
( c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(X1,tc_RealDef_Oreal),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0)
| ~ class_RealVector_Oreal__algebra__1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_of__real__of__nat__eq_0) ).
fof(f1352,plain,
! [X0,X1] :
( c_Nat_Osemiring__1__class_Oof__nat(X1,X0) = c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(X1,tc_RealDef_Oreal),X0)
| ~ class_RealVector_Oreal__algebra__1(X0) ),
inference(reorient_equations,[],[f1351]) ).
fof(f1361,negated_conjecture,
c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1537,axiom,
class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1) ).
tcf(c_1313,negated_conjecture,
c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) != c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1361]) ).
tcf(c_1343,plain,
! [X0: $i] : c_Complex_Ocomplex_OComplex(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_RealVector_Oof__real(X0,tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1348]) ).
tcf(c_1357,plain,
! [X0: $i,X1: $i] :
( ( c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(X1,tc_RealDef_Oreal),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0) )
| ~ class_RealVector_Oreal__algebra__1(X0) ),
inference(cnf_transformation,[],[f1352]) ).
tcf(c_1607,plain,
class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1537]) ).
tcf(c_5209,plain,
c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),tc_Complex_Ocomplex) != c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_1313,c_1343]) ).
tcf(c_7854,plain,
! [X0: $i,X1: $i] :
( ( c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(X1,tc_RealDef_Oreal),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0) )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1357,c_1607]) ).
tcf(c_7855,plain,
! [X0: $i] : c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(X0,tc_RealDef_Oreal),tc_Complex_Ocomplex) = c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_7854]) ).
tcf(c_7928,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_5209,c_7855]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV573-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 % Computer : n011.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Thu Sep 24 20:37:13 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 0.13/0.46
% 0.13/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.46
% 0.13/0.46 % Detected problem language: tptp
% 0.19/0.47 % Proving...
% 5.96/1.77 % SZS status Started for theBenchmark.p
% 5.96/1.77 % SZS status Unsatisfiable for theBenchmark.p
% 5.96/1.77
% 5.96/1.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.96/1.77
% 5.96/1.77 % ------ iProver source info
% 5.96/1.77
% 5.96/1.77 % git: date: 2026-07-19 20:42:38 +0200
% 5.96/1.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.96/1.77 % git: non_committed_changes: false
% 5.96/1.77
% 5.96/1.77 % ------ Parsing...% successful
% 5.96/1.77
% 5.96/1.77
% 5.96/1.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.96/1.77
% 5.96/1.77 % ------ Preprocessing... sup_sim: 5 sf_s rm: 1 0s sf_e pe_s pe:1:0s%
% 5.96/1.77
% 5.96/1.77 % SZS status Unsatisfiable for theBenchmark.p
% 5.96/1.77
% 5.96/1.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.96/1.77
% 5.96/1.77
%------------------------------------------------------------------------------