%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG379-1 : 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 : n026.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 12:54:08 PM UTC 2026
% Result : Unsatisfiable 21.27s 4.76s
% Output : CNFRefutation 21.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 22 unt; 3 def)
% Number of atoms : 74 ( 34 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 42 ( 23 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f776,axiom,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_1) ).
fof(f777,plain,
! [X2,X0,X1] :
( X1 = X2
| c_HOL_Ozero__class_Ozero(X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f776]) ).
fof(f941,axiom,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__eq__0_0) ).
fof(f942,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X1
| c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oabs__class_Oabs(X1,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
inference(reorient_equations,[],[f941]) ).
fof(f1121,axiom,
! [X0,X1] :
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1
| ~ class_OrderedGroup_Ogroup__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__minus_0) ).
fof(f1132,axiom,
c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1133,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(reorient_equations,[],[f1132]) ).
fof(f1134,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1135,plain,
c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal) != c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(reorient_equations,[],[f1134]) ).
fof(f1178,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) ).
fof(f1215,axiom,
class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add) ).
fof(f1224,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).
tcf(c_1771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ class_OrderedGroup_Oab__group__add(X2)
| ( c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2) ) ),
inference(cnf_transformation,[],[f777]) ).
tcf(c_1901,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ozero__class_Ozero(X1) = X0 )
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ( c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1) ) ),
inference(cnf_transformation,[],[f942]) ).
tcf(c_2040,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 )
| ~ class_OrderedGroup_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f1121]) ).
tcf(c_2050,plain,
c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1133]) ).
tcf(c_2051,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1135]) ).
tcf(c_2094,plain,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1178]) ).
tcf(c_2131,plain,
class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1215]) ).
tcf(c_2140,plain,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1224]) ).
tcf(c_89158,definition,
iPr_def_10 = c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_89159,definition,
iPr_def_11 = c_RealVector_Onorm__class_Onorm(iPr_def_10,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_89160,definition,
iPr_def_12 = c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_89161,negated_conjecture,
iPr_def_11 != iPr_def_12,
inference(demodulation,[status(thm)],[c_2051,c_89160,c_89158,c_89159]) ).
tcf(c_106537,plain,
! [X0: $i] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = X0,
inference(superposition,[status(thm)],[c_2140,c_2040]) ).
tcf(c_106543,plain,
c_HOL_Ouminus__class_Ouminus(iPr_def_12,tc_RealDef_Oreal) = v_s____,
inference(superposition,[status(thm)],[c_89160,c_106537]) ).
tcf(c_106574,plain,
c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal) = iPr_def_12,
inference(superposition,[status(thm)],[c_106543,c_106537]) ).
tcf(c_116831,plain,
! [X0: $i] :
( ( iPr_def_11 = iPr_def_12 )
| ~ class_OrderedGroup_Oab__group__add(X0)
| ( c_HOL_Ominus__class_Ominus(iPr_def_11,iPr_def_12,X0) != c_HOL_Ozero__class_Ozero(X0) ) ),
inference(instantiation,[status(thm)],[c_1771]) ).
tcf(c_116832,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal)
| ( c_HOL_Ominus__class_Ominus(iPr_def_11,iPr_def_12,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(instantiation,[status(thm)],[c_116831]) ).
tcf(c_147518,plain,
c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(iPr_def_11,iPr_def_12,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(light_normalisation,[status(thm)],[c_2050,c_89158,c_89159,c_106574]) ).
tcf(c_147527,plain,
( ( c_HOL_Ominus__class_Ominus(iPr_def_11,iPr_def_12,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_147518,c_1901]) ).
tcf(c_147585,plain,
c_HOL_Ominus__class_Ominus(iPr_def_11,iPr_def_12,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[status(thm)],[c_147527,c_2094]) ).
tcf(c_147625,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_147585,c_116832,c_89161,c_2131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG379-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 05:33:39 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 21.27/4.76 % SZS status Started for theBenchmark.p
% 21.27/4.76 % SZS status Unsatisfiable for theBenchmark.p
% 21.27/4.76
% 21.27/4.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 21.27/4.76
% 21.27/4.76 % ------ iProver source info
% 21.27/4.76
% 21.27/4.76 % git: date: 2026-07-19 20:42:38 +0200
% 21.27/4.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 21.27/4.76 % git: non_committed_changes: false
% 21.27/4.76
% 21.27/4.76 % ------ Parsing...% successful
% 21.27/4.76
% 21.27/4.76
% 21.27/4.76 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 21.27/4.76
% 21.27/4.76 % ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 72 sf_s rm: 21 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 22 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 22 0s sf_e pe_s pe_e %
% 21.27/4.76
% 21.27/4.76 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 21.27/4.76
% 21.27/4.76 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 21.27/4.76 % ------ Proving...
% 21.27/4.76 % ------ Problem Properties
% 21.27/4.76
% 21.27/4.76 %
% 21.27/4.76 % clauses 1034
% 21.27/4.76 % conjectures 1
% 21.27/4.76 % EPR 139
% 21.27/4.76 % Horn 919
% 21.27/4.76 % unary 336
% 21.27/4.76 % binary 313
% 21.27/4.76 % lits 2302
% 21.27/4.76 % lits eq 624
% 21.27/4.76 % fd_pure 0
% 21.27/4.76 % fd_pseudo 0
% 21.27/4.76 % fd_cond 53
% 21.27/4.76 % fd_pseudo_cond 65
% 21.27/4.76 % AC symbols 0
% 21.27/4.76
% 21.27/4.76 % ------ Schedule dynamic 5 is on
% 21.27/4.76
% 21.27/4.76 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 21.27/4.76
% 21.27/4.76
% 21.27/4.76 % ------
% 21.27/4.76 % Current options:
% 21.27/4.76 % ------
% 21.27/4.76
% 21.27/4.76
% 21.27/4.76 %
% 21.27/4.76
% 21.27/4.76 % ------ Proving...
% 21.27/4.76 %
% 21.27/4.76
% 21.27/4.76 % SZS status Unsatisfiable for theBenchmark.p
% 21.27/4.76
% 21.27/4.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.27/4.77
% 21.27/4.77
%------------------------------------------------------------------------------