%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA012-1 : 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 : n020.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 19.14s 5.25s
% Output : CNFRefutation 19.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 15 unt; 0 def)
% Number of atoms : 93 ( 37 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 81 ( 40 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1711,axiom,
! [X0] :
( c_HOL_Oabs(c_1,X0) = c_1
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oabs__one_0) ).
fof(f1712,plain,
! [X0] :
( c_1 = c_HOL_Oabs(c_1,X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(reorient_equations,[],[f1711]) ).
fof(f1759,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/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).
fof(f1760,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,[],[f1759]) ).
fof(f2262,axiom,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f2937,axiom,
! [X0] :
( class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_0) ).
fof(f2965,axiom,
! [X0] :
( class_Ring__and__Field_Oordered__idom(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_34) ).
fof(f2991,axiom,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_58) ).
fof(f3362,axiom,
! [X2,X0,X1] :
( c_HOL_Oabs(c_times(X1,X2,X0),X0) = c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f3365,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3366,plain,
c_0 != v_c,
inference(reorient_equations,[],[f3365]) ).
fof(f3367,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(f3368,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
tcf(c_2835,negated_conjecture,
c_0 != v_c,
inference(cnf_transformation,[],[f3366]) ).
tcf(c_2836,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,[],[f3367]) ).
tcf(c_2837,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
inference(cnf_transformation,[],[f3368]) ).
tcf(c_2882,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) )
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f3362]) ).
tcf(c_2883,plain,
! [X0: $i] :
( ( c_HOL_Oabs(c_1,X0) = c_1 )
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f1712]) ).
tcf(c_2915,plain,
! [X0: $i] :
( class_Ring__and__Field_Oordered__idom(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[],[f2965]) ).
tcf(c_2959,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,[],[f1760]) ).
tcf(c_3180,plain,
! [X0: $i] :
( class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[],[f2937]) ).
tcf(c_3573,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(cnf_transformation,[],[f2991]) ).
tcf(c_3581,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[],[f2262]) ).
tcf(c_5327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) )
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(prop_impl_just,[status(thm)],[c_2882]) ).
tcf(c_5449,plain,
! [X0: $i] :
( ( c_HOL_Oabs(c_1,X0) = c_1 )
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(prop_impl_just,[status(thm)],[c_2883]) ).
tcf(c_5455,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Oordered__idom(X0) ),
inference(prop_impl_just,[status(thm)],[c_2915]) ).
tcf(c_5456,plain,
! [X0: $i] :
( class_Ring__and__Field_Oordered__idom(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(renaming,[status(thm)],[c_5455]) ).
tcf(c_5633,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Orderings_Oorder(X0) ),
inference(prop_impl_just,[status(thm)],[c_3573]) ).
tcf(c_5634,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(renaming,[status(thm)],[c_5633]) ).
tcf(c_7635,plain,
! [X0: $i] :
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Ofield(X0) ),
inference(prop_impl_just,[status(thm)],[c_3180]) ).
tcf(c_7636,plain,
! [X0: $i] :
( class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(renaming,[status(thm)],[c_7635]) ).
tcf(c_25122,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ( X0 != t_a ) ),
inference(resolution_lifted,[status(thm)],[c_2837,c_5634]) ).
tcf(c_25123,plain,
class_Orderings_Oorder(t_a),
inference(unflattening,[status(thm)],[c_25122]) ).
tcf(c_25232,plain,
! [X0: $i] :
( class_Ring__and__Field_Oordered__idom(X0)
| ( X0 != t_a ) ),
inference(resolution_lifted,[status(thm)],[c_2837,c_5456]) ).
tcf(c_25233,plain,
class_Ring__and__Field_Oordered__idom(t_a),
inference(unflattening,[status(thm)],[c_25232]) ).
tcf(c_25352,plain,
! [X0: $i] :
( class_Ring__and__Field_Ofield(X0)
| ( X0 != t_a ) ),
inference(resolution_lifted,[status(thm)],[c_2837,c_7636]) ).
tcf(c_25353,plain,
class_Ring__and__Field_Ofield(t_a),
inference(unflattening,[status(thm)],[c_25352]) ).
tcf(c_25593,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_2959,c_25353]) ).
tcf(c_25594,plain,
! [X0: $i] :
( ( X0 = c_0 )
| ( c_times(c_HOL_Oinverse(X0,t_a),X0,t_a) = c_1 ) ),
inference(unflattening,[status(thm)],[c_25593]) ).
tcf(c_49574,plain,
! [X0: $i] :
( ( c_HOL_Oabs(c_1,X0) = c_1 )
| ( X0 != t_a ) ),
inference(resolution_lifted,[status(thm)],[c_5449,c_25233]) ).
tcf(c_49575,plain,
c_HOL_Oabs(c_1,t_a) = c_1,
inference(unflattening,[status(thm)],[c_49574]) ).
tcf(c_49638,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) )
| ( X0 != t_a ) ),
inference(resolution_lifted,[status(thm)],[c_5327,c_25233]) ).
tcf(c_49639,plain,
! [X0: $i,X1: $i] : c_times(c_HOL_Oabs(X0,t_a),c_HOL_Oabs(X1,t_a),t_a) = c_HOL_Oabs(c_times(X0,X1,t_a),t_a),
inference(unflattening,[status(thm)],[c_49638]) ).
tcf(c_57962,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(prop_impl_just,[status(thm)],[c_3581]) ).
tcf(c_68076,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X1,X0)
| ( X0 != t_a ) ),
inference(resolution_lifted,[status(thm)],[c_57962,c_25123]) ).
tcf(c_68077,plain,
! [X0: $i] : c_lessequals(X0,X0,t_a),
inference(unflattening,[status(thm)],[c_68076]) ).
tcf(c_74725,plain,
! [X0: $i] :
( ( c_times(c_HOL_Oinverse(X0,t_a),X0,t_a) = c_1 )
| ( X0 = c_0 ) ),
inference(prop_impl_just,[status(thm)],[c_25594]) ).
tcf(c_74726,plain,
! [X0: $i] :
( ( X0 = c_0 )
| ( c_times(c_HOL_Oinverse(X0,t_a),X0,t_a) = c_1 ) ),
inference(renaming,[status(thm)],[c_74725]) ).
tcf(c_103413,plain,
! [X0: $i] : ~ c_lessequals(c_1,c_HOL_Oabs(c_times(X0,v_c,t_a),t_a),t_a),
inference(superposition,[status(thm)],[c_49639,c_2836]) ).
tcf(c_104018,plain,
( ( c_0 = v_c )
| ~ c_lessequals(c_1,c_HOL_Oabs(c_1,t_a),t_a) ),
inference(superposition,[status(thm)],[c_74726,c_103413]) ).
tcf(c_104025,plain,
( ( c_0 = v_c )
| ~ c_lessequals(c_1,c_1,t_a) ),
inference(light_normalisation,[status(thm)],[c_104018,c_49575]) ).
tcf(c_104026,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_104025,c_2835,c_68077]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA012-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n020.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 05:45:34 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 19.14/5.25 % SZS status Started for theBenchmark.p
% 19.14/5.25 % SZS status Unsatisfiable for theBenchmark.p
% 19.14/5.25
% 19.14/5.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 19.14/5.25
% 19.14/5.25 % ------ iProver source info
% 19.14/5.25
% 19.14/5.25 % git: date: 2026-07-19 20:42:38 +0200
% 19.14/5.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 19.14/5.25 % git: non_committed_changes: false
% 19.14/5.25
% 19.14/5.25 % ------ Parsing...% successful
% 19.14/5.25
% 19.14/5.25
% 19.14/5.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 19.14/5.25
% 19.14/5.25 % ------ Preprocessing... sup_sim: 77 sf_s rm: 65 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sup_sim: 50 sf_s rm: 41 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 41 0s sf_e pe_s pe_e %
% 19.14/5.25
% 19.14/5.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 19.14/5.25
% 19.14/5.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 19.14/5.25 % ------ Proving...
% 19.14/5.25 % ------ Problem Properties
% 19.14/5.25
% 19.14/5.25 %
% 19.14/5.25 % clauses 966
% 19.14/5.25 % conjectures 2
% 19.14/5.25 % EPR 182
% 19.14/5.25 % Horn 864
% 19.14/5.25 % unary 271
% 19.14/5.25 % binary 481
% 19.14/5.25 % lits 1920
% 19.14/5.25 % lits eq 530
% 19.14/5.25 % fd_pure 0
% 19.14/5.25 % fd_pseudo 0
% 19.14/5.25 % fd_cond 57
% 19.14/5.25 % fd_pseudo_cond 40
% 19.14/5.25 % AC symbols 0
% 19.14/5.25
% 19.14/5.25 % ------ Schedule dynamic 5 is on
% 19.14/5.25
% 19.14/5.25 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 19.14/5.25
% 19.14/5.25
% 19.14/5.25 % ------
% 19.14/5.25 % Current options:
% 19.14/5.25 % ------
% 19.14/5.25
% 19.14/5.25
% 19.14/5.25 %
% 19.14/5.25
% 19.14/5.25 % ------ Proving...
% 19.14/5.25 %
% 19.14/5.25
% 19.14/5.25 % SZS status Unsatisfiable for theBenchmark.p
% 19.14/5.25
% 19.14/5.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.14/5.25
% 19.14/5.25
%------------------------------------------------------------------------------