%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV245-2 : 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 : n015.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 03:16:46 PM UTC 2026
% Result : Unsatisfiable 1.72s 1.25s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 15 unt; 5 def)
% Number of atoms : 145 ( 5 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 67 ( 27 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 8 ( 6 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2,negated_conjecture,
~ c_in(v_X,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3,axiom,
! [X2,X0,X1] :
( c_in(X0,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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f4,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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth_1) ).
fof(f5,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f8,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/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
tcf(c_57,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,[],[f1]) ).
tcf(c_58,negated_conjecture,
~ c_in(v_X,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,[],[f2]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,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,[],[f3]) ).
tcf(c_60,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,[],[f4]) ).
tcf(c_61,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,[],[f5]) ).
tcf(c_62,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,[],[f6]) ).
tcf(c_63,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,[],[f7]) ).
tcf(c_64,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,[],[f8]) ).
tcf(c_102,definition,
iPr_def_10 = c_union(v_G,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_103,definition,
iPr_def_11 = c_Message_Oanalz(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_104,definition,
iPr_def_12 = c_Message_Osynth(v_G),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_105,definition,
iPr_def_13 = c_union(iPr_def_11,iPr_def_12,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_106,definition,
iPr_def_14 = c_Message_Omsg_OMPair(v_X,v_Y),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_107,negated_conjecture,
~ c_in(v_X,iPr_def_13,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_58,c_104,c_102,c_103,c_105]) ).
tcf(c_108,negated_conjecture,
c_in(iPr_def_14,iPr_def_13,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_57,c_106]) ).
tcf(c_291,plain,
! [X0: $i] :
( c_in(X0,iPr_def_11,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_10,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_103,c_61]) ).
tcf(c_304,plain,
! [X0: $i] :
( c_in(X0,iPr_def_13,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_105,c_62]) ).
tcf(c_315,plain,
! [X0: $i] :
( c_in(X0,iPr_def_10,tc_Message_Omsg)
| ~ c_in(X0,v_G,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_102,c_63]) ).
tcf(c_316,plain,
! [X0: $i] :
( c_in(X0,iPr_def_13,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_105,c_63]) ).
tcf(c_328,plain,
! [X0: $i] :
( c_in(v_X,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_14,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_106,c_59]) ).
tcf(c_349,plain,
! [X0: $i] :
( c_in(X0,iPr_def_12,tc_Message_Omsg)
| c_in(X0,iPr_def_11,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_13,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_105,c_64]) ).
tcf(c_379,plain,
( c_in(v_X,c_Message_Oanalz(iPr_def_10),tc_Message_Omsg)
| ~ c_in(iPr_def_14,iPr_def_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_103,c_328]) ).
tcf(c_380,plain,
( c_in(v_X,iPr_def_11,tc_Message_Omsg)
| ~ c_in(iPr_def_14,iPr_def_11,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_379,c_103]) ).
tcf(c_434,plain,
( c_in(iPr_def_14,iPr_def_12,tc_Message_Omsg)
| c_in(iPr_def_14,iPr_def_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_108,c_349]) ).
tcf(c_463,plain,
! [X0: $i] :
( c_in(v_X,c_Message_Osynth(X0),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),X0,tc_Message_Omsg)
| ~ c_in(iPr_def_14,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_106,c_60]) ).
tcf(c_465,plain,
! [X0: $i] :
( c_in(iPr_def_14,X0,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_14,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_463,c_106]) ).
tcf(c_631,plain,
( c_in(iPr_def_14,v_G,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ c_in(iPr_def_14,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_104,c_465]) ).
tcf(c_632,plain,
( c_in(iPr_def_14,v_G,tc_Message_Omsg)
| c_in(v_X,iPr_def_12,tc_Message_Omsg)
| ~ c_in(iPr_def_14,iPr_def_12,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_631,c_104]) ).
tcf(c_685,plain,
( c_in(iPr_def_14,iPr_def_11,tc_Message_Omsg)
| c_in(iPr_def_14,v_G,tc_Message_Omsg)
| c_in(v_X,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_434,c_632]) ).
tcf(c_721,plain,
( c_in(iPr_def_14,iPr_def_11,tc_Message_Omsg)
| c_in(iPr_def_14,v_G,tc_Message_Omsg)
| c_in(v_X,iPr_def_13,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_685,c_304]) ).
tcf(c_722,plain,
( c_in(iPr_def_14,iPr_def_11,tc_Message_Omsg)
| c_in(iPr_def_14,v_G,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_721,c_107]) ).
tcf(c_731,plain,
( c_in(iPr_def_14,iPr_def_11,tc_Message_Omsg)
| c_in(iPr_def_14,iPr_def_10,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_722,c_315]) ).
tcf(c_739,plain,
c_in(iPr_def_14,iPr_def_11,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_731,c_291]) ).
tcf(c_740,plain,
c_in(v_X,iPr_def_11,tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[c_380,c_739]) ).
tcf(c_742,plain,
c_in(v_X,iPr_def_13,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_740,c_316]) ).
tcf(c_743,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_742,c_107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV245-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 18:54:42 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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
% 0.12/0.39
% 0.12/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.39
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 1.72/1.25 % SZS status Started for theBenchmark.p
% 1.72/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 1.72/1.25
% 1.72/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.72/1.25
% 1.72/1.25 % ------ iProver source info
% 1.72/1.25
% 1.72/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 1.72/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.72/1.25 % git: non_committed_changes: false
% 1.72/1.25
% 1.72/1.25 % ------ Parsing...% successful
% 1.72/1.25
% 1.72/1.25
% 1.72/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.72/1.25
% 1.72/1.25 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.72/1.25
% 1.72/1.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.72/1.25
% 1.72/1.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.72/1.25 % ------ Proving...
% 1.72/1.25 % ------ Problem Properties
% 1.72/1.25
% 1.72/1.25 %
% 1.72/1.25 % clauses 13
% 1.72/1.25 % conjectures 2
% 1.72/1.25 % EPR 2
% 1.72/1.25 % Horn 11
% 1.72/1.25 % unary 7
% 1.72/1.25 % binary 4
% 1.72/1.25 % lits 21
% 1.72/1.25 % lits eq 5
% 1.72/1.25 % fd_pure 0
% 1.72/1.25 % fd_pseudo 0
% 1.72/1.25 % fd_cond 0
% 1.72/1.25 % fd_pseudo_cond 0
% 1.72/1.25 % AC symbols 0
% 1.72/1.25
% 1.72/1.25 % ------ Schedule dynamic 5 is on
% 1.72/1.25
% 1.72/1.25 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.72/1.25
% 1.72/1.25
% 1.72/1.25 % ------
% 1.72/1.25 % Current options:
% 1.72/1.25 % ------
% 1.72/1.25
% 1.72/1.25
% 1.72/1.25 %
% 1.72/1.25
% 1.72/1.25 % ------ Proving...
% 1.72/1.25 %
% 1.72/1.25
% 1.72/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 1.72/1.25
% 1.72/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.72/1.25
% 1.72/1.25
%------------------------------------------------------------------------------