%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV248-1 : 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 : n009.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 10.49s 2.17s
% Output : CNFRefutation 10.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 56 ( 16 unt; 7 def)
% Number of atoms : 203 ( 7 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 84 ( 38 ~; 46 |; 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 : 67 ( 0 sgn 67 !; 0 ?; 43 :)
% 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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).
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(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(f1470,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/Axioms/SWV004-0.ax',cls_Message_Osynth_OInj_0) ).
fof(f1473,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(f1475,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(f1476,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) ).
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),X0,X2) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_1557,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_2009,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_2010,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_2060,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_2078,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,[],[f1470]) ).
tcf(c_2081,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,[],[f1473]) ).
tcf(c_2083,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,[],[f1475]) ).
tcf(c_2084,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,[],[f1476]) ).
tcf(c_14435,definition,
iPr_def_10 = c_union(v_G,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_14436,definition,
iPr_def_11 = c_Message_Oanalz(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_14437,definition,
iPr_def_12 = c_Message_Osynth(v_G),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_14438,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_14439,definition,
iPr_def_14 = c_union(iPr_def_12,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_14440,definition,
iPr_def_15 = c_Message_Oanalz(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_14441,definition,
iPr_def_16 = tc_set(tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_14442,negated_conjecture,
~ c_lessequals(iPr_def_13,iPr_def_15,iPr_def_16),
inference(demodulation,[status(thm)],[c_2084,c_14441,c_14439,c_14440,c_14437,c_14435,c_14436,c_14438]) ).
tcf(c_20560,plain,
! [X0: $i] :
( c_in(X0,iPr_def_15,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_14440,c_2060]) ).
tcf(c_20576,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_14437,c_2078]) ).
tcf(c_20897,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_1556,c_20576]) ).
tcf(c_20899,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_20897,c_14441]) ).
tcf(c_21054,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_14439,c_2009]) ).
tcf(c_21071,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_14439,c_2010]) ).
tcf(c_21125,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_1556,c_21054]) ).
tcf(c_21126,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_21125,c_14441]) ).
tcf(c_21156,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_1556,c_21071]) ).
tcf(c_21159,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_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20899,c_21071]) ).
tcf(c_21162,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_21156,c_14441]) ).
tcf(c_21354,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_21126,c_1557]) ).
tcf(c_21357,plain,
c_lessequals(v_H,iPr_def_14,iPr_def_16),
inference(light_normalisation,[status(thm)],[c_21354,c_14441]) ).
tcf(c_21563,plain,
( c_lessequals(v_G,iPr_def_14,iPr_def_16)
| c_lessequals(v_G,iPr_def_14,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_21159,c_1557]) ).
tcf(c_21565,plain,
c_lessequals(v_G,iPr_def_14,iPr_def_16),
inference(light_normalisation,[status(thm)],[c_21563,c_14441]) ).
tcf(c_21575,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_15,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_21162,c_20560]) ).
tcf(c_21716,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_2081,c_14441]) ).
tcf(c_21723,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_14436,c_21716]) ).
tcf(c_21761,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_14440,c_21723]) ).
tcf(c_21968,plain,
( c_lessequals(iPr_def_12,iPr_def_15,iPr_def_16)
| c_lessequals(iPr_def_12,iPr_def_15,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_21575,c_1557]) ).
tcf(c_21969,plain,
c_lessequals(iPr_def_12,iPr_def_15,iPr_def_16),
inference(light_normalisation,[status(thm)],[c_21968,c_14441]) ).
tcf(c_25987,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_14435,c_2083]) ).
tcf(c_25989,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_14438,c_2083]) ).
tcf(c_26002,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_25989,c_14441]) ).
tcf(c_26006,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_25987,c_14441]) ).
tcf(c_27441,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_21969,c_26002]) ).
tcf(c_27442,plain,
~ c_lessequals(iPr_def_11,iPr_def_15,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_27441,c_14442]) ).
tcf(c_27448,plain,
~ c_lessequals(iPr_def_10,iPr_def_14,iPr_def_16),
inference(backward_subsumption_resolution,[status(thm)],[c_21761,c_27442]) ).
tcf(c_27958,plain,
( c_lessequals(iPr_def_10,iPr_def_14,iPr_def_16)
| ~ c_lessequals(v_H,iPr_def_14,iPr_def_16) ),
inference(superposition,[status(thm)],[c_21565,c_26006]) ).
tcf(c_27962,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_27958,c_27448,c_21357]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV248-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n009.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 18:51:43 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 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...
% 10.49/2.17 % SZS status Started for theBenchmark.p
% 10.49/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 10.49/2.17
% 10.49/2.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.49/2.17
% 10.49/2.17 % ------ iProver source info
% 10.49/2.17
% 10.49/2.17 % git: date: 2026-07-19 20:42:38 +0200
% 10.49/2.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.49/2.17 % git: non_committed_changes: false
% 10.49/2.17
% 10.49/2.17 % ------ Parsing...% successful
% 10.49/2.17
% 10.49/2.17
% 10.49/2.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.49/2.17
% 10.49/2.17 % ------ Preprocessing... sup_sim: 1 sf_s rm: 18 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 30 0s sf_e pe_s pe_e %
% 10.49/2.17
% 10.49/2.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.49/2.17
% 10.49/2.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.49/2.17 % ------ Proving...
% 10.49/2.17 % ------ Problem Properties
% 10.49/2.17
% 10.49/2.17 %
% 10.49/2.17 % clauses 343
% 10.49/2.17 % conjectures 1
% 10.49/2.17 % EPR 28
% 10.49/2.17 % Horn 310
% 10.49/2.17 % unary 89
% 10.49/2.17 % binary 197
% 10.49/2.17 % lits 654
% 10.49/2.17 % lits eq 192
% 10.49/2.17 % fd_pure 0
% 10.49/2.17 % fd_pseudo 0
% 10.49/2.17 % fd_cond 21
% 10.49/2.17 % fd_pseudo_cond 50
% 10.49/2.17 % AC symbols 0
% 10.49/2.17
% 10.49/2.17 % ------ Schedule dynamic 5 is on
% 10.49/2.17
% 10.49/2.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.49/2.17
% 10.49/2.17
% 10.49/2.17 % ------
% 10.49/2.17 % Current options:
% 10.49/2.17 % ------
% 10.49/2.17
% 10.49/2.17
% 10.49/2.17 %
% 10.49/2.17
% 10.49/2.17 % ------ Proving...
% 10.49/2.17 %
% 10.49/2.17
% 10.49/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 10.49/2.17
% 10.49/2.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.49/2.17
% 10.49/2.17
%------------------------------------------------------------------------------