%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV273-1 : 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 : n016.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 03:16:54 PM UTC 2026
% Result : Unsatisfiable 23.03s 4.28s
% Output : CNFRefutation 23.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 15 unt; 0 def)
% Number of atoms : 45 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 21 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
fof(f131,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).
fof(f3181,axiom,
! [X0,X1] : c_union(X0,X0,X1) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__absorb_0) ).
fof(f3196,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X1,X3,tc_set(X2))
| ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__subset__iff_1) ).
fof(f3197,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__subset__iff_2) ).
fof(f3421,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/Axioms/SWV005-1.ax',cls_Message_Oparts__subset__iff_0) ).
fof(f3422,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/Axioms/SWV005-1.ax',cls_Message_Oparts__subset__iff_1) ).
fof(f3431,axiom,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).
fof(f3432,axiom,
! [X0] : c_lessequals(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth__increasing_0) ).
fof(f3433,negated_conjecture,
~ c_lessequals(c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_2875,negated_conjecture,
~ c_lessequals(c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[],[f3433]) ).
tcf(c_2882,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[],[f131]) ).
tcf(c_2892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f3197]) ).
tcf(c_2893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X1,X3,tc_set(X2))
| ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
inference(cnf_transformation,[],[f3196]) ).
tcf(c_2905,plain,
! [X0: $i,X1: $i] : c_union(X0,X0,X1) = X0,
inference(cnf_transformation,[],[f3181]) ).
tcf(c_2917,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f3431]) ).
tcf(c_2918,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,[],[f3422]) ).
tcf(c_2919,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,[],[f3421]) ).
tcf(c_2928,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[],[f3432]) ).
tcf(c_3915,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(prop_impl_just,[status(thm)],[c_2917,c_2919]) ).
tcf(c_15920,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(prop_impl_just,[status(thm)],[c_3915]) ).
tcf(c_30735,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_union(X0,X1,tc_Message_Omsg),X2,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_15920,c_2893]) ).
tcf(c_30963,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_union(X1,X0,tc_Message_Omsg))),tc_set(tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_2928,c_30735]) ).
tcf(c_30966,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_Message_Oparts(c_union(X1,X0,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_2882,c_30735]) ).
tcf(c_31226,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_2905,c_30966]) ).
tcf(c_32219,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(X0)),tc_set(tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_2905,c_30963]) ).
tcf(c_52756,plain,
( ~ c_lessequals(c_Message_Osynth(v_H),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_2892,c_2875]) ).
tcf(c_52778,plain,
~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)),
inference(forward_subsumption_resolution,[status(thm)],[c_52756,c_31226]) ).
tcf(c_53329,plain,
~ c_lessequals(v_H,c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_2918,c_52778]) ).
tcf(c_53332,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_53329,c_32219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV273-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 19:03:27 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 23.03/4.28 % SZS status Started for theBenchmark.p
% 23.03/4.28 % SZS status Unsatisfiable for theBenchmark.p
% 23.03/4.28
% 23.03/4.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 23.03/4.28
% 23.03/4.28 % ------ iProver source info
% 23.03/4.28
% 23.03/4.28 % git: date: 2026-07-19 20:42:38 +0200
% 23.03/4.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 23.03/4.28 % git: non_committed_changes: false
% 23.03/4.28
% 23.03/4.28 % ------ Parsing...% successful
% 23.03/4.28
% 23.03/4.28
% 23.03/4.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 23.03/4.28
% 23.03/4.28 % ------ Preprocessing... sup_sim: 36 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 12 sf_s rm: 7 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e %
% 23.03/4.28
% 23.03/4.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 23.03/4.28
% 23.03/4.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 23.03/4.28 % ------ Proving...
% 23.03/4.28 % ------ Problem Properties
% 23.03/4.28
% 23.03/4.28 %
% 23.03/4.28 % clauses 487
% 23.03/4.28 % conjectures 1
% 23.03/4.28 % EPR 22
% 23.03/4.28 % Horn 430
% 23.03/4.28 % unary 188
% 23.03/4.28 % binary 214
% 23.03/4.28 % lits 873
% 23.03/4.28 % lits eq 340
% 23.03/4.28 % fd_pure 0
% 23.03/4.28 % fd_pseudo 0
% 23.03/4.28 % fd_cond 28
% 23.03/4.28 % fd_pseudo_cond 30
% 23.03/4.28 % AC symbols 0
% 23.03/4.28
% 23.03/4.28 % ------ Schedule dynamic 5 is on
% 23.03/4.28
% 23.03/4.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 23.03/4.28
% 23.03/4.28
% 23.03/4.28 % ------
% 23.03/4.28 % Current options:
% 23.03/4.28 % ------
% 23.03/4.28
% 23.03/4.28
% 23.03/4.28 %
% 23.03/4.28
% 23.03/4.28 % ------ Proving...
% 23.03/4.28 %
% 23.03/4.28
% 23.03/4.28 % SZS status Unsatisfiable for theBenchmark.p
% 23.03/4.28
% 23.03/4.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.03/4.28
% 23.03/4.28
%------------------------------------------------------------------------------