%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA035-2 : 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 : n008.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 12:55:41 PM UTC 2026
% Result : Unsatisfiable 2.38s 1.17s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 38 ( 26 unt; 8 def)
% Number of atoms : 77 ( 35 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 28 ( 16 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f2,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3,axiom,
! [X2,X0,X1] :
( c_times(X1,X2,X0) = c_times(X2,X1,X0)
| ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__2_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( c_times(X1,c_times(X2,X3,X0),X0) = c_times(X2,c_times(X1,X3,X0),X0)
| ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__3_0) ).
fof(f5,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(f6,axiom,
! [X0] :
( class_OrderedGroup_Oab__semigroup__mult(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
tcf(c_55,negated_conjecture,
c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) != c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_times(X1,X2,X0) = c_times(X2,X1,X0) )
| ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_times(X1,c_times(X2,X3,X0),X0) = c_times(X2,c_times(X1,X3,X0),X0) )
| ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,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,[],[f5]) ).
tcf(c_60,plain,
! [X0: $i] :
( class_OrderedGroup_Oab__semigroup__mult(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_107,plain,
! [X0: $i] :
( class_OrderedGroup_Oab__semigroup__mult(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_60]) ).
tcf(c_108,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(unflattening,[status(thm)],[c_107]) ).
tcf(c_112,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_b ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_59]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] : c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b) = c_HOL_Oabs(c_times(X0,X1,t_b),t_b),
inference(unflattening,[status(thm)],[c_112]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_times(X1,c_times(X2,X3,X0),X0) = c_times(X2,c_times(X1,X3,X0),X0) )
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_108]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(X1,c_times(X0,X2,t_b),t_b),
inference(unflattening,[status(thm)],[c_120]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_times(X1,X2,X0) = c_times(X2,X1,X0) )
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_108]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] : c_times(X0,X1,t_b) = c_times(X1,X0,t_b),
inference(unflattening,[status(thm)],[c_126]) ).
tcf(c_142,plain,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(demodulation,[status(thm)],[c_55,c_113,c_121,c_127]) ).
tcf(c_149,definition,
iPr_def_10 = c_times(v_c,v_ca,t_b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_150,definition,
iPr_def_11 = v_f(v_x),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_151,definition,
iPr_def_12 = v_g(v_x),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_152,definition,
iPr_def_13 = c_times(iPr_def_11,iPr_def_12,t_b),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_153,definition,
iPr_def_14 = c_HOL_Oabs(iPr_def_13,t_b),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_154,definition,
iPr_def_15 = c_times(iPr_def_10,iPr_def_14,t_b),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_155,definition,
iPr_def_16 = c_times(v_ca,iPr_def_14,t_b),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_156,definition,
iPr_def_17 = c_times(v_c,iPr_def_16,t_b),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_157,plain,
iPr_def_15 != iPr_def_17,
inference(demodulation,[status(thm)],[c_142,c_155,c_156,c_151,c_150,c_152,c_153,c_149,c_154]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] : c_times(X0,X1,t_b) = c_times(X1,X0,t_b),
inference(demodulation,[status(thm)],[c_127]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i,X2: $i] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(X1,c_times(X0,X2,t_b),t_b),
inference(demodulation,[status(thm)],[c_121]) ).
tcf(c_316,plain,
! [X0: $i] : c_times(v_c,c_times(X0,v_ca,t_b),t_b) = c_times(X0,iPr_def_10,t_b),
inference(superposition,[status(thm)],[c_149,c_159]) ).
tcf(c_331,plain,
c_times(iPr_def_14,v_ca,t_b) = iPr_def_16,
inference(demodulation,[status(thm)],[c_155,c_158]) ).
tcf(c_336,plain,
c_times(iPr_def_16,v_c,t_b) = iPr_def_17,
inference(demodulation,[status(thm)],[c_156,c_158]) ).
tcf(c_388,plain,
c_times(v_c,iPr_def_16,t_b) = c_times(iPr_def_14,iPr_def_10,t_b),
inference(superposition,[status(thm)],[c_331,c_316]) ).
tcf(c_426,plain,
iPr_def_15 = iPr_def_17,
inference(demodulation,[status(thm)],[c_388,c_158,c_154,c_336]) ).
tcf(c_427,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_426,c_157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA035-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 05:50:24 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.43 % Proving...
% 2.38/1.17 % SZS status Started for theBenchmark.p
% 2.38/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.38/1.17
% 2.38/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.38/1.17
% 2.38/1.17 % ------ iProver source info
% 2.38/1.17
% 2.38/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 2.38/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.38/1.17 % git: non_committed_changes: false
% 2.38/1.17
% 2.38/1.17 % ------ Parsing...% successful
% 2.38/1.17
% 2.38/1.17
% 2.38/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.38/1.17
% 2.38/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 1 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.38/1.17
% 2.38/1.17 % ------ Preprocessing...% ------ preprocesses with Option_UEQ
% 2.38/1.17 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.38/1.17
% 2.38/1.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.38/1.17 % ------ Proving...
% 2.38/1.17 % ------ Problem Properties
% 2.38/1.17
% 2.38/1.17 %
% 2.38/1.17 % clauses 12
% 2.38/1.17 % conjectures 0
% 2.38/1.17 % EPR 1
% 2.38/1.17 % Horn 12
% 2.38/1.17 % unary 12
% 2.38/1.17 % binary 0
% 2.38/1.17 % lits 12
% 2.38/1.17 % lits eq 12
% 2.38/1.17 % fd_pure 0
% 2.38/1.17 % fd_pseudo 0
% 2.38/1.17 % fd_cond 0
% 2.38/1.17 % fd_pseudo_cond 0
% 2.38/1.17 % AC symbols 0
% 2.38/1.17
% 2.38/1.17 % ------ Schedule UEQ
% 2.38/1.17
% 2.38/1.17 % ------ Option_UEQ Time Limit: 10.
% 2.38/1.17
% 2.38/1.17
% 2.38/1.17 % ------
% 2.38/1.17 % Current options:
% 2.38/1.17 % ------
% 2.38/1.17
% 2.38/1.17
% 2.38/1.17 %
% 2.38/1.17
% 2.38/1.17 % ------ Proving...
% 2.38/1.17 %
% 2.38/1.17
% 2.38/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.38/1.17
% 2.38/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.38/1.17
% 2.38/1.17
%------------------------------------------------------------------------------