%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV279-2 : 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 : n012.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 03:16:55 PM UTC 2026
% Result : Unsatisfiable 1.55s 6.07s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 14 unt; 2 def)
% Number of atoms : 83 ( 2 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 54 ( 29 ~; 25 |; 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 : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
( ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X2,X0,X1] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f4,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f5,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f6,axiom,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(c_insert(X0,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X1),tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Oused__parts__subset__parts_0) ).
fof(f7,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_1) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
tcf(c_57,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,negated_conjecture,
( ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(c_insert(X0,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X1),tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf_transformation,[],[f7]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,X1,X2)
| ~ c_in(X3,X0,X2)
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_62,c_64]) ).
tcf(c_138,definition,
iPr_def_10 = c_Event_Oused(v_H),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_139,definition,
iPr_def_11 = c_Message_Omsg_OMPair(v_X,v_Y),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_140,negated_conjecture,
( ~ c_in(v_Y,iPr_def_10,tc_Message_Omsg)
| ~ c_in(v_X,iPr_def_10,tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_58,c_138]) ).
tcf(c_141,negated_conjecture,
c_in(iPr_def_11,iPr_def_10,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_57,c_139]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_61,c_59]) ).
tcf(c_334,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_61,c_60]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_63,c_304]) ).
tcf(c_378,plain,
! [X0: $i] : c_in(v_Y,c_Message_Oparts(c_insert(iPr_def_11,X0,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_139,c_372]) ).
tcf(c_394,plain,
! [X0: $i] :
( c_in(v_Y,c_Event_Oused(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_11,c_Event_Oused(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_378,c_99]) ).
tcf(c_413,plain,
( c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(iPr_def_11,iPr_def_10,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_138,c_394]) ).
tcf(c_414,plain,
( c_in(v_Y,iPr_def_10,tc_Message_Omsg)
| ~ c_in(iPr_def_11,iPr_def_10,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_413,c_138]) ).
tcf(c_415,plain,
c_in(v_Y,iPr_def_10,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_414,c_141]) ).
tcf(c_416,plain,
~ c_in(v_X,iPr_def_10,tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[c_140,c_415]) ).
tcf(c_422,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_63,c_334]) ).
tcf(c_431,plain,
! [X0: $i] : c_in(v_X,c_Message_Oparts(c_insert(iPr_def_11,X0,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_139,c_422]) ).
tcf(c_468,plain,
! [X0: $i] :
( c_in(v_X,c_Event_Oused(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_11,c_Event_Oused(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_431,c_99]) ).
tcf(c_647,plain,
( c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(iPr_def_11,iPr_def_10,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_138,c_468]) ).
tcf(c_648,plain,
( c_in(v_X,iPr_def_10,tc_Message_Omsg)
| ~ c_in(iPr_def_11,iPr_def_10,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_647,c_138]) ).
tcf(c_649,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_648,c_416,c_141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV279-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.05/5.31 % Computer : n012.cluster.edu
% 0.05/5.31 % Model : x86_64 x86_64
% 0.05/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/5.31 % Memory : 8046.5625MB
% 0.05/5.31 % OS : Linux 6.8.0-71-generic
% 0.05/5.31 % CPULimit : 300
% 0.05/5.31 % WCLimit : 300
% 0.05/5.31 % DateTime : Thu Sep 24 18:59:57 UTC 2026
% 0.05/5.31 % CPUTime :
% 0.05/5.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.05/5.33 Running first-order theorem proving
% 0.05/5.33 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
% 0.05/5.34
% 0.05/5.34 % ======== iProver multi-core TPTP/SMT =========
% 0.05/5.34
% 0.05/5.34 % Detected problem language: tptp
% 0.05/5.34 % Proving...
% 1.55/6.07 % SZS status Started for theBenchmark.p
% 1.55/6.07 % SZS status Unsatisfiable for theBenchmark.p
% 1.55/6.07
% 1.55/6.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.55/6.07
% 1.55/6.07 % ------ iProver source info
% 1.55/6.07
% 1.55/6.07 % git: date: 2026-07-19 20:42:38 +0200
% 1.55/6.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.55/6.07 % git: non_committed_changes: false
% 1.55/6.07
% 1.55/6.07 % ------ Parsing...% successful
% 1.55/6.07
% 1.55/6.07
% 1.55/6.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.55/6.07
% 1.55/6.07 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.55/6.07
% 1.55/6.07 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.55/6.07
% 1.55/6.07 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.55/6.07 % ------ Proving...
% 1.55/6.07 % ------ Problem Properties
% 1.55/6.07
% 1.55/6.07 %
% 1.55/6.07 % clauses 9
% 1.55/6.07 % conjectures 2
% 1.55/6.07 % EPR 2
% 1.55/6.07 % Horn 9
% 1.55/6.07 % unary 4
% 1.55/6.07 % binary 4
% 1.55/6.07 % lits 15
% 1.55/6.07 % lits eq 2
% 1.55/6.07 % fd_pure 0
% 1.55/6.07 % fd_pseudo 0
% 1.55/6.07 % fd_cond 0
% 1.55/6.07 % fd_pseudo_cond 0
% 1.55/6.07 % AC symbols 0
% 1.55/6.07
% 1.55/6.07 % ------ Schedule dynamic 5 is on
% 1.55/6.07
% 1.55/6.07 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.55/6.07
% 1.55/6.07
% 1.55/6.07 % ------
% 1.55/6.07 % Current options:
% 1.55/6.07 % ------
% 1.55/6.07
% 1.55/6.07
% 1.55/6.07 %
% 1.55/6.07
% 1.55/6.07 % ------ Proving...
% 1.55/6.07 %
% 1.55/6.07
% 1.55/6.07 % SZS status Unsatisfiable for theBenchmark.p
% 1.55/6.07
% 1.55/6.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.55/6.07
% 1.55/6.07
%------------------------------------------------------------------------------