%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV248-2 : 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 : n026.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 2.31s 1.16s
% Output : CNFRefutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 58 ( 19 unt; 7 def)
% Number of atoms : 199 ( 7 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 86 ( 41 ~; 45 |; 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 : 11 ( 9 usr; 8 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 74 ( 0 sgn 74 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,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/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f3,axiom,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
fof(f4,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f7,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/theBenchmark.p',cls_Set_OUn__least_0) ).
fof(f8,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/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f9,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/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
tcf(c_58,negated_conjecture,
~ c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,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,[],[f2]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f4]) ).
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,[],[f5]) ).
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,[],[f6]) ).
tcf(c_64,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,[],[f7]) ).
tcf(c_65,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,[],[f8]) ).
tcf(c_66,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,[],[f9]) ).
tcf(c_110,definition,
iPr_def_10 = c_union(v_G,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_111,definition,
iPr_def_11 = c_Message_Oanalz(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_112,definition,
iPr_def_12 = c_Message_Osynth(v_G),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_113,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_114,definition,
iPr_def_14 = c_union(iPr_def_12,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_115,definition,
iPr_def_15 = c_Message_Oanalz(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_116,definition,
iPr_def_16 = tc_set(tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_117,negated_conjecture,
~ c_lessequals(iPr_def_13,iPr_def_15,iPr_def_16),
inference(demodulation,[status(thm)],[c_58,c_116,c_114,c_115,c_112,c_110,c_111,c_113]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),iPr_def_16)
| ~ c_lessequals(X0,X1,iPr_def_16) ),
inference(light_normalisation,[status(thm)],[c_60,c_116]) ).
tcf(c_334,plain,
! [X0: $i] :
( c_lessequals(iPr_def_11,c_Message_Oanalz(X0),iPr_def_16)
| ~ c_lessequals(iPr_def_10,X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_111,c_331]) ).
tcf(c_366,plain,
! [X0: $i] :
( c_in(X0,iPr_def_12,tc_Message_Omsg)
| ~ c_in(X0,v_G,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_112,c_61]) ).
tcf(c_376,plain,
! [X0: $i] :
( c_in(X0,iPr_def_14,tc_Message_Omsg)
| ~ c_in(X0,v_H,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_114,c_62]) ).
tcf(c_392,plain,
! [X0: $i] :
( c_in(X0,iPr_def_14,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_114,c_63]) ).
tcf(c_443,plain,
( c_lessequals(iPr_def_11,iPr_def_15,iPr_def_16)
| ~ c_lessequals(iPr_def_10,iPr_def_14,iPr_def_16) ),
inference(superposition,[status(thm)],[c_115,c_334]) ).
tcf(c_473,plain,
! [X0: $i] :
( c_lessequals(iPr_def_12,X0,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(iPr_def_12,X0,tc_Message_Omsg),iPr_def_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_65,c_392]) ).
tcf(c_476,plain,
! [X0: $i] :
( c_lessequals(v_G,X0,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(v_G,X0,tc_Message_Omsg),iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_65,c_366]) ).
tcf(c_477,plain,
! [X0: $i] :
( c_lessequals(v_H,X0,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(v_H,X0,tc_Message_Omsg),iPr_def_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_65,c_376]) ).
tcf(c_482,plain,
! [X0: $i] :
( c_lessequals(v_H,X0,iPr_def_16)
| c_in(c_Main_OsubsetI__1(v_H,X0,tc_Message_Omsg),iPr_def_14,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_477,c_116]) ).
tcf(c_485,plain,
! [X0: $i] :
( c_lessequals(v_G,X0,iPr_def_16)
| c_in(c_Main_OsubsetI__1(v_G,X0,tc_Message_Omsg),iPr_def_12,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_476,c_116]) ).
tcf(c_494,plain,
! [X0: $i] :
( c_lessequals(iPr_def_12,X0,iPr_def_16)
| c_in(c_Main_OsubsetI__1(iPr_def_12,X0,tc_Message_Omsg),iPr_def_14,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_473,c_116]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_59,c_66]) ).
tcf(c_527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3) ),
inference(superposition,[status(thm)],[c_63,c_66]) ).
tcf(c_532,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oanalz(X1),iPr_def_16)
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_524,c_116]) ).
tcf(c_557,plain,
! [X0: $i] :
( c_lessequals(iPr_def_10,X0,tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,X0,tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,X0,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_110,c_64]) ).
tcf(c_558,plain,
! [X0: $i] :
( c_lessequals(iPr_def_13,X0,tc_set(tc_Message_Omsg))
| ~ c_lessequals(iPr_def_12,X0,tc_set(tc_Message_Omsg))
| ~ c_lessequals(iPr_def_11,X0,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_113,c_64]) ).
tcf(c_565,plain,
! [X0: $i] :
( c_lessequals(iPr_def_13,X0,iPr_def_16)
| ~ c_lessequals(iPr_def_12,X0,iPr_def_16)
| ~ c_lessequals(iPr_def_11,X0,iPr_def_16) ),
inference(light_normalisation,[status(thm)],[c_558,c_116]) ).
tcf(c_569,plain,
! [X0: $i] :
( c_lessequals(iPr_def_10,X0,iPr_def_16)
| ~ c_lessequals(v_H,X0,iPr_def_16)
| ~ c_lessequals(v_G,X0,iPr_def_16) ),
inference(light_normalisation,[status(thm)],[c_557,c_116]) ).
tcf(c_618,plain,
( c_lessequals(v_H,iPr_def_14,iPr_def_16)
| c_lessequals(v_H,iPr_def_14,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_482,c_66]) ).
tcf(c_620,plain,
c_lessequals(v_H,iPr_def_14,iPr_def_16),
inference(light_normalisation,[status(thm)],[c_618,c_116]) ).
tcf(c_912,plain,
c_lessequals(iPr_def_12,c_Message_Oanalz(iPr_def_14),iPr_def_16),
inference(superposition,[status(thm)],[c_494,c_532]) ).
tcf(c_924,plain,
c_lessequals(iPr_def_12,iPr_def_15,iPr_def_16),
inference(light_normalisation,[status(thm)],[c_912,c_115]) ).
tcf(c_996,plain,
( c_lessequals(iPr_def_13,iPr_def_15,iPr_def_16)
| ~ c_lessequals(iPr_def_11,iPr_def_15,iPr_def_16) ),
inference(superposition,[status(thm)],[c_924,c_565]) ).
tcf(c_997,plain,
~ c_lessequals(iPr_def_11,iPr_def_15,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_996,c_117]) ).
tcf(c_998,plain,
~ c_lessequals(iPr_def_10,iPr_def_14,iPr_def_16),
inference(backward_subsumption_resolution,[status(thm)],[c_443,c_997]) ).
tcf(c_1021,plain,
( c_lessequals(iPr_def_10,iPr_def_14,iPr_def_16)
| ~ c_lessequals(v_G,iPr_def_14,iPr_def_16) ),
inference(superposition,[status(thm)],[c_620,c_569]) ).
tcf(c_1027,plain,
~ c_lessequals(v_G,iPr_def_14,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_1021,c_998]) ).
tcf(c_3221,plain,
! [X0: $i] :
( c_lessequals(v_G,c_union(iPr_def_12,X0,tc_Message_Omsg),iPr_def_16)
| c_lessequals(v_G,c_union(iPr_def_12,X0,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_485,c_527]) ).
tcf(c_3233,plain,
! [X0: $i] : c_lessequals(v_G,c_union(iPr_def_12,X0,tc_Message_Omsg),iPr_def_16),
inference(light_normalisation,[status(thm)],[c_3221,c_116]) ).
tcf(c_3395,plain,
c_lessequals(v_G,iPr_def_14,iPr_def_16),
inference(superposition,[status(thm)],[c_114,c_3233]) ).
tcf(c_3396,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3395,c_1027]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV248-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n026.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 18:55:10 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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
% 0.12/0.39
% 0.12/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.39
% 0.12/0.39 % Detected problem language: tptp
% 0.12/0.40 % Proving...
% 2.31/1.16 % SZS status Started for theBenchmark.p
% 2.31/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.31/1.16
% 2.31/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.31/1.16
% 2.31/1.16 % ------ iProver source info
% 2.31/1.16
% 2.31/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 2.31/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.31/1.16 % git: non_committed_changes: false
% 2.31/1.16
% 2.31/1.16 % ------ Parsing...% successful
% 2.31/1.16
% 2.31/1.16
% 2.31/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.31/1.16
% 2.31/1.16 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.31/1.16
% 2.31/1.16 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.31/1.16
% 2.31/1.16 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.31/1.16 % ------ Proving...
% 2.31/1.16 % ------ Problem Properties
% 2.31/1.16
% 2.31/1.16 %
% 2.31/1.16 % clauses 16
% 2.31/1.16 % conjectures 1
% 2.31/1.16 % EPR 1
% 2.31/1.16 % Horn 15
% 2.31/1.16 % unary 8
% 2.31/1.16 % binary 7
% 2.31/1.16 % lits 25
% 2.31/1.16 % lits eq 7
% 2.31/1.16 % fd_pure 0
% 2.31/1.16 % fd_pseudo 0
% 2.31/1.16 % fd_cond 0
% 2.31/1.16 % fd_pseudo_cond 0
% 2.31/1.16 % AC symbols 0
% 2.31/1.16
% 2.31/1.16 % ------ Schedule dynamic 5 is on
% 2.31/1.16
% 2.31/1.16 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.31/1.16
% 2.31/1.16
% 2.31/1.16 % ------
% 2.31/1.16 % Current options:
% 2.31/1.16 % ------
% 2.31/1.16
% 2.31/1.16
% 2.31/1.16 %
% 2.31/1.16
% 2.31/1.16 % ------ Proving...
% 2.31/1.16 %
% 2.31/1.16
% 2.31/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.31/1.16
% 2.31/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.31/1.16
% 2.31/1.16
%------------------------------------------------------------------------------