%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA044-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 12:55:43 PM UTC 2026
% Result : Unsatisfiable 2.07s 1.29s
% Output : CNFRefutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 25 unt; 5 def)
% Number of atoms : 94 ( 20 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 33 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 11 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] : c_lessequals(c_0,v_l(X0,X1),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
! [X0] : c_lessequals(c_0,v_h(X0),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f4,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f5,axiom,
! [X0,X1] :
( c_HOL_Oabs(X1,X0) = X1
| ~ c_lessequals(c_0,X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f6,axiom,
! [X2,X0,X1] :
( c_lessequals(c_0,c_times(X2,X1,X0),X0)
| ~ c_lessequals(c_0,X2,X0)
| ~ c_lessequals(c_0,X1,X0)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
fof(f7,axiom,
! [X0] :
( class_Ring__and__Field_Opordered__cancel__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f8,axiom,
! [X0] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
tcf(c_57,negated_conjecture,
! [X0: $i,X1: $i] : c_lessequals(c_0,v_l(X0,X1),t_b),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,negated_conjecture,
! [X0: $i] : c_lessequals(c_0,v_h(X0),t_b),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,negated_conjecture,
c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b) != c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),
inference(cnf_transformation,[],[f3]) ).
tcf(c_60,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oabs(X0,X1) = X0 )
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ c_lessequals(c_0,X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_0,c_times(X2,X0,X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ c_lessequals(c_0,X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__cancel__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_64,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_131,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_64]) ).
tcf(c_132,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(unflattening,[status(thm)],[c_131]) ).
tcf(c_136,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__cancel__semiring(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_63]) ).
tcf(c_137,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_b),
inference(unflattening,[status(thm)],[c_136]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Oabs(X1,X0) = X1 )
| ~ c_lessequals(c_0,X1,X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_132]) ).
tcf(c_144,plain,
! [X0: $i] :
( ( c_HOL_Oabs(X0,t_b) = X0 )
| ~ c_lessequals(c_0,X0,t_b) ),
inference(unflattening,[status(thm)],[c_143]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_0,c_times(X2,X1,X0),X0)
| ~ c_lessequals(c_0,X2,X0)
| ~ c_lessequals(c_0,X1,X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_62,c_137]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_0,c_times(X1,X0,t_b),t_b)
| ~ c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(unflattening,[status(thm)],[c_154]) ).
tcf(c_202,definition,
iPr_def_10 = v_l(v_x,v_xa),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_203,definition,
iPr_def_11 = v_k(v_x,v_xa),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_204,definition,
iPr_def_12 = v_h(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_205,definition,
iPr_def_13 = c_times(iPr_def_10,iPr_def_12,t_b),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_206,definition,
iPr_def_14 = c_HOL_Oabs(iPr_def_13,t_b),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_0,c_times(X1,X0,t_b),t_b)
| ~ c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(demodulation,[status(thm)],[c_155]) ).
tcf(c_208,plain,
! [X0: $i] :
( ( c_HOL_Oabs(X0,t_b) = X0 )
| ~ c_lessequals(c_0,X0,t_b) ),
inference(demodulation,[status(thm)],[c_144]) ).
tcf(c_209,negated_conjecture,
iPr_def_14 != iPr_def_13,
inference(demodulation,[status(thm)],[c_59,c_203,c_204,c_202,c_205,c_206]) ).
tcf(c_210,negated_conjecture,
! [X0: $i] : c_lessequals(c_0,v_h(X0),t_b),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_211,negated_conjecture,
! [X0: $i,X1: $i] : c_lessequals(c_0,v_l(X0,X1),t_b),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_416,plain,
c_lessequals(c_0,iPr_def_10,t_b),
inference(superposition,[status(thm)],[c_202,c_211]) ).
tcf(c_418,plain,
c_lessequals(c_0,iPr_def_12,t_b),
inference(superposition,[status(thm)],[c_204,c_210]) ).
tcf(c_419,plain,
( c_lessequals(c_0,iPr_def_13,t_b)
| ~ c_lessequals(c_0,iPr_def_12,t_b)
| ~ c_lessequals(c_0,iPr_def_10,t_b) ),
inference(superposition,[status(thm)],[c_205,c_207]) ).
tcf(c_494,plain,
c_lessequals(c_0,iPr_def_13,t_b),
inference(global_subsumption_just,[status(thm)],[c_419,c_416,c_418,c_419]) ).
tcf(c_499,plain,
c_HOL_Oabs(iPr_def_13,t_b) = iPr_def_13,
inference(superposition,[status(thm)],[c_494,c_208]) ).
tcf(c_502,plain,
iPr_def_13 = iPr_def_14,
inference(demodulation,[status(thm)],[c_206,c_499]) ).
tcf(c_503,plain,
iPr_def_13 != iPr_def_13,
inference(demodulation,[status(thm)],[c_209,c_502]) ).
tcf(c_504,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_503]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA044-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 05:51:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 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...
% 2.07/1.29 % SZS status Started for theBenchmark.p
% 2.07/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.07/1.29
% 2.07/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.07/1.29
% 2.07/1.29 % ------ iProver source info
% 2.07/1.29
% 2.07/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.07/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.07/1.29 % git: non_committed_changes: false
% 2.07/1.29
% 2.07/1.29 % ------ Parsing...% successful
% 2.07/1.29
% 2.07/1.29
% 2.07/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.07/1.29
% 2.07/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.07/1.29
% 2.07/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.07/1.29
% 2.07/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.07/1.29 % ------ Proving...
% 2.07/1.29 % ------ Problem Properties
% 2.07/1.29
% 2.07/1.29 %
% 2.07/1.29 % clauses 10
% 2.07/1.29 % conjectures 3
% 2.07/1.29 % EPR 1
% 2.07/1.29 % Horn 10
% 2.07/1.29 % unary 8
% 2.07/1.29 % binary 1
% 2.07/1.29 % lits 13
% 2.07/1.29 % lits eq 7
% 2.07/1.29 % fd_pure 0
% 2.07/1.29 % fd_pseudo 0
% 2.07/1.29 % fd_cond 0
% 2.07/1.29 % fd_pseudo_cond 0
% 2.07/1.29 % AC symbols 0
% 2.07/1.29
% 2.07/1.29 % ------ Schedule dynamic 5 is on
% 2.07/1.29
% 2.07/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.07/1.29
% 2.07/1.29
% 2.07/1.29 % ------
% 2.07/1.29 % Current options:
% 2.07/1.29 % ------
% 2.07/1.29
% 2.07/1.29
% 2.07/1.29 %
% 2.07/1.29
% 2.07/1.29 % ------ Proving...
% 2.07/1.29 %
% 2.07/1.29
% 2.07/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.07/1.29
% 2.07/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.07/1.29
% 2.07/1.29
%------------------------------------------------------------------------------