%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV239-1 : 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 : n002.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 03:16:45 PM UTC 2026
% Result : Unsatisfiable 8.50s 1.80s
% Output : CNFRefutation 8.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 3 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 32 ( 15 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f127,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).
fof(f128,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).
fof(f1453,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV004-0.ax',cls_Message_Oanalz__analzD__dest_0) ).
fof(f1473,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Message_Oanalz(c_union(X2,X0,tc_Message_Omsg)),c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X3),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__cong_0) ).
fof(f1475,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1555,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_1556,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_2060,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f1453]) ).
tcf(c_2080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Message_Oanalz(c_union(X2,X0,tc_Message_Omsg)),c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X3),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f1473]) ).
tcf(c_2082,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[],[f1475]) ).
tcf(c_8923,plain,
( c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[c_2080]) ).
tcf(c_10377,plain,
( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_Message_Omsg),c_Message_Oanalz(v_G),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[c_1556]) ).
tcf(c_10378,plain,
( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[c_1555]) ).
tcf(c_18664,plain,
( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_Message_Omsg),c_Message_Oanalz(v_G),tc_Message_Omsg)
| ~ c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[c_2060]) ).
tcf(c_18802,plain,
( c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_Message_Omsg),c_Message_Oanalz(v_H),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[c_1556]) ).
tcf(c_18803,plain,
( c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_Message_Omsg),c_Message_Oanalz(v_H),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[c_1555]) ).
tcf(c_18807,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_18802,c_18803,c_18664,c_10377,c_10378,c_8923,c_2082]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV239-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n002.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 18:52:19 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 8.50/1.80 % SZS status Started for theBenchmark.p
% 8.50/1.80 % SZS status Unsatisfiable for theBenchmark.p
% 8.50/1.80
% 8.50/1.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.50/1.80
% 8.50/1.80 % ------ iProver source info
% 8.50/1.80
% 8.50/1.80 % git: date: 2026-07-19 20:42:38 +0200
% 8.50/1.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.50/1.80 % git: non_committed_changes: false
% 8.50/1.80
% 8.50/1.80 % ------ Parsing...% successful
% 8.50/1.80
% 8.50/1.80
% 8.50/1.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.50/1.80
% 8.50/1.80 % ------ Preprocessing... sup_sim: 0 pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 pe_s pe_e %
% 8.50/1.80
% 8.50/1.80 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 0 0s scvd_e snvd_s sp: 0 0s snvd_e %
% 8.50/1.80
% 8.50/1.80 % ------ Preprocessing...
% 8.50/1.80 % ------ Proving...
% 8.50/1.80 % ------ Problem Properties
% 8.50/1.80
% 8.50/1.80 %
% 8.50/1.80 % clauses 375
% 8.50/1.80 % conjectures 1
% 8.50/1.80 % EPR 35
% 8.50/1.80 % Horn 338
% 8.50/1.80 % unary 94
% 8.50/1.80 % binary 219
% 8.50/1.80 % lits 718
% 8.50/1.80 % lits eq 190
% 8.50/1.80 % fd_pure 0
% 8.50/1.80 % fd_pseudo 0
% 8.50/1.80 % fd_cond 23
% 8.50/1.80 % fd_pseudo_cond 51
% 8.50/1.80 % AC symbols 0
% 8.50/1.80
% 8.50/1.80 % ------ Input Options Time Limit: Unbounded
% 8.50/1.80
% 8.50/1.80
% 8.50/1.80 % ------
% 8.50/1.80 % Current options:
% 8.50/1.80 % ------
% 8.50/1.80
% 8.50/1.80
% 8.50/1.80 %
% 8.50/1.80
% 8.50/1.80 % ------ Proving...
% 8.50/1.80 %
% 8.50/1.80
% 8.50/1.80 % SZS status Unsatisfiable for theBenchmark.p
% 8.50/1.80
% 8.50/1.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.50/1.80
% 8.50/1.80
%------------------------------------------------------------------------------