%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV259-2 : 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 : n001.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 03:16:50 PM UTC 2026
% Result : Unsatisfiable 1.68s 1.30s
% Output : CNFRefutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 14 unt; 4 def)
% Number of atoms : 76 ( 4 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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; 5 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2,axiom,
! [X0,X1] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_0) ).
fof(f3,axiom,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_1) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X1,X3,tc_set(X2))
| ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_1) ).
fof(f5,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
tcf(c_54,negated_conjecture,
~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X1,X3,tc_set(X2))
| ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_96,definition,
iPr_def_10 = c_Message_Oparts(v_H),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_97,definition,
iPr_def_11 = c_insert(v_X,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_98,definition,
iPr_def_12 = c_Message_Oparts(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_99,definition,
iPr_def_13 = tc_set(tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_100,negated_conjecture,
~ c_lessequals(iPr_def_10,iPr_def_12,iPr_def_13),
inference(demodulation,[status(thm)],[c_54,c_99,c_97,c_98,c_96]) ).
tcf(c_314,plain,
! [X0: $i] : c_lessequals(X0,X0,iPr_def_13),
inference(superposition,[status(thm)],[c_99,c_58]) ).
tcf(c_316,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(X1),iPr_def_13)
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_55,c_99]) ).
tcf(c_319,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oparts(X0),iPr_def_13),
inference(superposition,[status(thm)],[c_314,c_316]) ).
tcf(c_340,plain,
c_lessequals(iPr_def_11,iPr_def_12,iPr_def_13),
inference(superposition,[status(thm)],[c_98,c_319]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),iPr_def_13)
| ~ c_lessequals(X0,c_Message_Oparts(X1),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_56,c_99]) ).
tcf(c_353,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(X0),iPr_def_12,iPr_def_13)
| ~ c_lessequals(X0,c_Message_Oparts(iPr_def_11),iPr_def_13) ),
inference(superposition,[status(thm)],[c_98,c_343]) ).
tcf(c_355,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(X0),iPr_def_12,iPr_def_13)
| ~ c_lessequals(X0,iPr_def_12,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_353,c_98]) ).
tcf(c_374,plain,
! [X0: $i] :
( c_lessequals(v_H,X0,tc_set(tc_Message_Omsg))
| ~ c_lessequals(iPr_def_11,X0,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_97,c_57]) ).
tcf(c_376,plain,
! [X0: $i] :
( c_lessequals(v_H,X0,iPr_def_13)
| ~ c_lessequals(iPr_def_11,X0,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_374,c_99]) ).
tcf(c_443,plain,
c_lessequals(v_H,iPr_def_12,iPr_def_13),
inference(superposition,[status(thm)],[c_340,c_376]) ).
tcf(c_527,plain,
( c_lessequals(iPr_def_10,iPr_def_12,iPr_def_13)
| ~ c_lessequals(v_H,iPr_def_12,iPr_def_13) ),
inference(superposition,[status(thm)],[c_96,c_355]) ).
tcf(c_530,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_527,c_100,c_443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV259-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 19:00:53 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 1.68/1.30 % SZS status Started for theBenchmark.p
% 1.68/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.30
% 1.68/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.68/1.30
% 1.68/1.30 % ------ iProver source info
% 1.68/1.30
% 1.68/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.68/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.68/1.30 % git: non_committed_changes: false
% 1.68/1.30
% 1.68/1.30 % ------ Parsing...% successful
% 1.68/1.30
% 1.68/1.30
% 1.68/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.68/1.30
% 1.68/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.68/1.30
% 1.68/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.68/1.30
% 1.68/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.68/1.30 % ------ Proving...
% 1.68/1.30 % ------ Problem Properties
% 1.68/1.30
% 1.68/1.30 %
% 1.68/1.30 % clauses 9
% 1.68/1.30 % conjectures 1
% 1.68/1.30 % EPR 1
% 1.68/1.30 % Horn 9
% 1.68/1.30 % unary 6
% 1.68/1.30 % binary 3
% 1.68/1.30 % lits 12
% 1.68/1.30 % lits eq 4
% 1.68/1.30 % fd_pure 0
% 1.68/1.30 % fd_pseudo 0
% 1.68/1.30 % fd_cond 0
% 1.68/1.30 % fd_pseudo_cond 0
% 1.68/1.30 % AC symbols 0
% 1.68/1.30
% 1.68/1.30 % ------ Schedule dynamic 5 is on
% 1.68/1.30
% 1.68/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.68/1.30
% 1.68/1.30
% 1.68/1.30 % ------
% 1.68/1.30 % Current options:
% 1.68/1.30 % ------
% 1.68/1.30
% 1.68/1.30
% 1.68/1.30 %
% 1.68/1.30
% 1.68/1.30 % ------ Proving...
% 1.68/1.30 %
% 1.68/1.30
% 1.68/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.30
% 1.68/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.68/1.30
% 1.68/1.30
%------------------------------------------------------------------------------