%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA012-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 12:55:36 PM UTC 2026
% Result : Unsatisfiable 1.70s 1.27s
% Output : CNFRefutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 16 unt; 1 def)
% Number of atoms : 88 ( 46 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 82 ( 44 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 8 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
! [X0] : ~ c_lessequals(c_1,c_times(X0,c_HOL_Oabs(v_c,t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f4,axiom,
! [X0,X1] :
( X1 = c_0
| c_HOL_Oabs(X1,X0) != c_0
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__eq__0_0) ).
fof(f5,plain,
! [X0,X1] :
( c_0 = X1
| c_0 != c_HOL_Oabs(X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f7,axiom,
! [X0,X1] :
( c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1
| X1 = c_0
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).
fof(f8,plain,
! [X0,X1] :
( c_1 = c_times(c_HOL_Oinverse(X1,X0),X1,X0)
| c_0 = X1
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0] :
( class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
fof(f10,axiom,
! [X0] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_47) ).
fof(f11,axiom,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_58) ).
tcf(c_58,negated_conjecture,
v_c != c_0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,negated_conjecture,
! [X0: $i] : ~ c_lessequals(c_1,c_times(X0,c_HOL_Oabs(v_c,t_a),t_a),t_a),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( ( X0 = c_0 )
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| ( c_HOL_Oabs(X0,X1) != c_0 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( ( X1 = c_0 )
| ( c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1 )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_64,plain,
! [X0: $i] :
( class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_65,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_66,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ class_Orderings_Oorder(X2)
| ( X2 != t_a )
| ( X1 != c_1 )
| ( c_times(X0,c_HOL_Oabs(v_c,t_a),t_a) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_62]) ).
tcf(c_142,plain,
! [X0: $i] :
( ~ class_Orderings_Oorder(t_a)
| ( c_times(X0,c_HOL_Oabs(v_c,t_a),t_a) != c_1 ) ),
inference(unflattening,[status(thm)],[c_141]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] :
( ~ class_Ring__and__Field_Oordered__field(X1)
| ( X1 != t_a )
| ( c_times(X0,c_HOL_Oabs(v_c,t_a),t_a) != c_1 ) ),
inference(resolution_lifted,[status(thm)],[c_66,c_142]) ).
tcf(c_153,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__field(t_a)
| ( c_times(X0,c_HOL_Oabs(v_c,t_a),t_a) != c_1 ) ),
inference(unflattening,[status(thm)],[c_152]) ).
tcf(c_155,plain,
! [X0: $i] : c_times(X0,c_HOL_Oabs(v_c,t_a),t_a) != c_1,
inference(global_subsumption_just,[status(thm)],[c_153,c_60,c_153]) ).
tcf(c_162,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ( X0 != t_a ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_65]) ).
tcf(c_163,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(unflattening,[status(thm)],[c_162]) ).
tcf(c_167,plain,
! [X0: $i] :
( class_Ring__and__Field_Ofield(X0)
| ( X0 != t_a ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_64]) ).
tcf(c_168,plain,
class_Ring__and__Field_Ofield(t_a),
inference(unflattening,[status(thm)],[c_167]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] :
( ( X0 = c_0 )
| ( X1 != t_a )
| ( c_HOL_Oabs(X0,X1) != c_0 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_163]) ).
tcf(c_175,plain,
! [X0: $i] :
( ( X0 = c_0 )
| ( c_HOL_Oabs(X0,t_a) != c_0 ) ),
inference(unflattening,[status(thm)],[c_174]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] :
( ( X1 = c_0 )
| ( c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1 )
| ( X0 != t_a ) ),
inference(resolution_lifted,[status(thm)],[c_63,c_168]) ).
tcf(c_186,plain,
! [X0: $i] :
( ( X0 = c_0 )
| ( c_times(c_HOL_Oinverse(X0,t_a),X0,t_a) = c_1 ) ),
inference(unflattening,[status(thm)],[c_185]) ).
tcf(c_219,definition,
iPr_def_10 = c_HOL_Oabs(v_c,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_220,plain,
! [X0: $i] :
( ( X0 = c_0 )
| ( c_times(c_HOL_Oinverse(X0,t_a),X0,t_a) = c_1 ) ),
inference(demodulation,[status(thm)],[c_186]) ).
tcf(c_221,plain,
! [X0: $i] :
( ( X0 = c_0 )
| ( c_HOL_Oabs(X0,t_a) != c_0 ) ),
inference(demodulation,[status(thm)],[c_175]) ).
tcf(c_222,plain,
! [X0: $i] : c_times(X0,iPr_def_10,t_a) != c_1,
inference(demodulation,[status(thm)],[c_155,c_219]) ).
tcf(c_223,negated_conjecture,
v_c != c_0,
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_280,plain,
c_0 = iPr_def_10,
inference(superposition,[status(thm)],[c_220,c_222]) ).
tcf(c_282,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( c_HOL_Oabs(X0,t_a) != iPr_def_10 ) ),
inference(demodulation,[status(thm)],[c_221,c_280]) ).
tcf(c_283,plain,
v_c != iPr_def_10,
inference(demodulation,[status(thm)],[c_223,c_280]) ).
tcf(c_295,plain,
v_c = iPr_def_10,
inference(superposition,[status(thm)],[c_219,c_282]) ).
tcf(c_296,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_295,c_283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA012-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 05:46:22 UTC 2026
% 0.15/0.37 % CPUTime :
% 0.15/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41
% 0.15/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.41
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.43 % Proving...
% 1.70/1.27 % SZS status Started for theBenchmark.p
% 1.70/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.70/1.27
% 1.70/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.70/1.27
% 1.70/1.27 % ------ iProver source info
% 1.70/1.27
% 1.70/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.70/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.70/1.27 % git: non_committed_changes: false
% 1.70/1.27
% 1.70/1.27 % ------ Parsing...% successful
% 1.70/1.27
% 1.70/1.27
% 1.70/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.70/1.27
% 1.70/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 1.70/1.27
% 1.70/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.70/1.27
% 1.70/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.70/1.27 % ------ Proving...
% 1.70/1.27 % ------ Problem Properties
% 1.70/1.27
% 1.70/1.27 %
% 1.70/1.27 % clauses 5
% 1.70/1.27 % conjectures 1
% 1.70/1.27 % EPR 1
% 1.70/1.27 % Horn 4
% 1.70/1.27 % unary 3
% 1.70/1.27 % binary 2
% 1.70/1.27 % lits 7
% 1.70/1.27 % lits eq 7
% 1.70/1.27 % fd_pure 0
% 1.70/1.27 % fd_pseudo 0
% 1.70/1.27 % fd_cond 2
% 1.70/1.27 % fd_pseudo_cond 0
% 1.70/1.27 % AC symbols 0
% 1.70/1.27
% 1.70/1.27 % ------ Schedule dynamic 5 is on
% 1.70/1.27
% 1.70/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.70/1.27
% 1.70/1.27
% 1.70/1.27 % ------
% 1.70/1.27 % Current options:
% 1.70/1.27 % ------
% 1.70/1.27
% 1.70/1.27
% 1.70/1.27 %
% 1.70/1.27
% 1.70/1.27 % ------ Proving...
% 1.70/1.27 %
% 1.70/1.27
% 1.70/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.70/1.27
% 1.70/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.70/1.27
% 1.70/1.27
%------------------------------------------------------------------------------