%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV246-1 : 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 : n017.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 03:16:47 PM UTC 2026
% Result : Unsatisfiable 4.29s 6.35s
% Output : CNFRefutation 4.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 21 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1393,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_0) ).
fof(f1394,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_1) ).
fof(f1395,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X1,X3)
| c_in(X0,X2,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).
fof(f1434,axiom,
! [X2,X0,X1] :
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV004-0.ax',cls_Message_OMPair__analz_0) ).
fof(f1438,axiom,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV004-0.ax',cls_Message_OMPair__synth_0) ).
fof(f1439,axiom,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV004-0.ax',cls_Message_OMPair__synth_1) ).
fof(f1452,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV004-0.ax',cls_Message_Oanalz_OInj_0) ).
fof(f1477,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1478,negated_conjecture,
~ c_in(v_Y,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_2011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f1393]) ).
tcf(c_2012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f1394]) ).
tcf(c_2013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X2,X3)
| c_in(X0,X1,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f1395]) ).
tcf(c_2047,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f1434]) ).
tcf(c_2051,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f1438]) ).
tcf(c_2052,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f1439]) ).
tcf(c_2062,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f1452]) ).
tcf(c_2087,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[],[f1477]) ).
tcf(c_2088,negated_conjecture,
~ c_in(v_Y,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[],[f1478]) ).
tcf(c_2251,plain,
~ c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_2011,c_2088]) ).
tcf(c_2252,plain,
~ c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_2012,c_2088]) ).
tcf(c_2273,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_2087,c_2013]) ).
tcf(c_2349,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_2273,c_2047]) ).
tcf(c_2423,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_2062,c_2047]) ).
tcf(c_2425,plain,
~ c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_2012,c_2088]) ).
tcf(c_2465,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_2087,c_2013]) ).
tcf(c_2567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_Message_Oanalz(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_2012,c_2423]) ).
tcf(c_2616,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg),
inference(global_subsumption_just,[status(thm)],[c_2465,c_2252,c_2349]) ).
tcf(c_2618,plain,
( c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_2616,c_2051]) ).
tcf(c_2619,plain,
( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_2616,c_2052]) ).
tcf(c_3221,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg),
inference(global_subsumption_just,[status(thm)],[c_2619,c_2251,c_2618]) ).
tcf(c_3224,plain,
! [X0: $i] : c_in(v_Y,c_Message_Oanalz(c_union(v_G,X0,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_3221,c_2567]) ).
tcf(c_3233,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2425,c_3224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV246-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.39 % Computer : n017.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Thu Sep 24 18:46:37 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.44 Running first-order theorem proving
% 0.16/5.44 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
% 0.16/5.45
% 0.16/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.45
% 0.16/5.45 % Detected problem language: tptp
% 0.16/5.46 % Proving...
% 4.29/6.35 % SZS status Started for theBenchmark.p
% 4.29/6.35 % SZS status Unsatisfiable for theBenchmark.p
% 4.29/6.35
% 4.29/6.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.29/6.35
% 4.29/6.35 % ------ iProver source info
% 4.29/6.35
% 4.29/6.35 % git: date: 2026-07-19 20:42:38 +0200
% 4.29/6.35 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.29/6.35 % git: non_committed_changes: false
% 4.29/6.35
% 4.29/6.35 % ------ Parsing...% successful
% 4.29/6.35
% 4.29/6.35
% 4.29/6.35 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.29/6.35 % ------ Proving...
% 4.29/6.35 % ------ Problem Properties
% 4.29/6.35
% 4.29/6.35 %
% 4.29/6.35 % clauses 637
% 4.29/6.35 % conjectures 3
% 4.29/6.35 % EPR 291
% 4.29/6.35 % Horn 603
% 4.29/6.35 % unary 156
% 4.29/6.35 % binary 411
% 4.29/6.35 % lits 1188
% 4.29/6.35 % lits eq 218
% 4.29/6.35 % fd_pure 0
% 4.29/6.35 % fd_pseudo 0
% 4.29/6.35 % fd_cond 28
% 4.29/6.35 % fd_pseudo_cond 48
% 4.29/6.35 % AC symbols 0
% 4.29/6.35
% 4.29/6.35 % ------ Input Options Time Limit: Unbounded
% 4.29/6.35
% 4.29/6.35
% 4.29/6.35 % ------
% 4.29/6.35 % Current options:
% 4.29/6.35 % ------
% 4.29/6.35
% 4.29/6.35
% 4.29/6.35 %
% 4.29/6.35
% 4.29/6.35 % ------ Proving...
% 4.29/6.35 %
% 4.29/6.35
% 4.29/6.35 % SZS status Unsatisfiable for theBenchmark.p
% 4.29/6.35
% 4.29/6.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.29/6.35
% 4.29/6.35
%------------------------------------------------------------------------------