%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV260-2 : 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 : n001.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 03:16:50 PM UTC 2026
% Result : Unsatisfiable 6.42s 1.74s
% Output : CNFRefutation 6.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 63 ( 21 unt; 5 def)
% Number of atoms : 185 ( 15 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 89 ( 38 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 75 ( 0 sgn 75 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_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] :
( X0 = X1
| c_in(X0,X2,X3)
| ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_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) ).
fof(f10,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__trans_0) ).
tcf(c_59,negated_conjecture,
c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f1]) ).
tcf(c_60,negated_conjecture,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,negated_conjecture,
~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,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,[],[f4]) ).
tcf(c_63,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_64,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_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X2,X3)
| ( X0 = X1 )
| ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f7]) ).
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),X0,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,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_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_187,definition,
iPr_def_10 = c_union(v_G,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_188,definition,
iPr_def_11 = c_Message_Oparts(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_189,definition,
iPr_def_12 = c_Message_Oparts(v_H),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_190,definition,
iPr_def_13 = c_insert(v_X,v_G,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_191,definition,
iPr_def_14 = c_Message_Oparts(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_192,negated_conjecture,
~ c_in(v_Y,iPr_def_11,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_61,c_187,c_188]) ).
tcf(c_193,negated_conjecture,
c_in(v_X,iPr_def_12,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_60,c_189]) ).
tcf(c_194,negated_conjecture,
c_in(v_Y,iPr_def_14,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_59,c_190,c_191]) ).
tcf(c_411,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_188,c_62]) ).
tcf(c_426,plain,
! [X0: $i] :
( c_in(X0,iPr_def_10,tc_Message_Omsg)
| ~ c_in(X0,v_H,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_187,c_63]) ).
tcf(c_434,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_187,c_64]) ).
tcf(c_446,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_62,c_67]) ).
tcf(c_449,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,X0,tc_set(X1)),
inference(superposition,[status(thm)],[c_66,c_67]) ).
tcf(c_487,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_10,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_66,c_426]) ).
tcf(c_495,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_10,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_66,c_434]) ).
tcf(c_521,plain,
! [X0: $i] :
( c_in(X0,v_G,tc_Message_Omsg)
| ( X0 = v_X )
| ~ c_in(X0,iPr_def_13,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_190,c_65]) ).
tcf(c_536,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_449,c_68]) ).
tcf(c_563,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_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_487,c_411]) ).
tcf(c_574,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_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_495,c_411]) ).
tcf(c_589,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_10),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(iPr_def_11),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_188,c_536]) ).
tcf(c_594,plain,
! [X0: $i] :
( c_in(X0,iPr_def_11,tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(iPr_def_11),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_589,c_188]) ).
tcf(c_659,plain,
! [X0: $i] :
( c_lessequals(iPr_def_13,X0,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(iPr_def_13,X0,tc_Message_Omsg),v_G,tc_Message_Omsg)
| ( c_Main_OsubsetI__1(iPr_def_13,X0,tc_Message_Omsg) = v_X ) ),
inference(superposition,[status(thm)],[c_66,c_521]) ).
tcf(c_691,plain,
c_lessequals(v_H,c_Message_Oparts(iPr_def_11),tc_set(tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_563,c_446]) ).
tcf(c_692,plain,
c_lessequals(v_G,c_Message_Oparts(iPr_def_11),tc_set(tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_574,c_446]) ).
tcf(c_784,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_691,c_68]) ).
tcf(c_785,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_12,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_784,c_189]) ).
tcf(c_789,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(v_G),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_692,c_68]) ).
tcf(c_797,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oparts(iPr_def_11),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(iPr_def_11),tc_Message_Omsg),iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_785,c_67]) ).
tcf(c_830,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ~ c_in(X0,v_G,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_62,c_789]) ).
tcf(c_842,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oparts(iPr_def_11),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(iPr_def_11),tc_Message_Omsg),v_G,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_830,c_67]) ).
tcf(c_3224,plain,
( c_lessequals(iPr_def_13,c_Message_Oparts(iPr_def_11),tc_set(tc_Message_Omsg))
| ( c_Main_OsubsetI__1(iPr_def_13,c_Message_Oparts(iPr_def_11),tc_Message_Omsg) = v_X ) ),
inference(superposition,[status(thm)],[c_659,c_842]) ).
tcf(c_3421,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ( c_Main_OsubsetI__1(iPr_def_13,c_Message_Oparts(iPr_def_11),tc_Message_Omsg) = v_X )
| ~ c_in(X0,c_Message_Oparts(iPr_def_13),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_3224,c_68]) ).
tcf(c_3422,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ( c_Main_OsubsetI__1(iPr_def_13,c_Message_Oparts(iPr_def_11),tc_Message_Omsg) = v_X )
| ~ c_in(X0,iPr_def_14,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_3421,c_191]) ).
tcf(c_4972,plain,
! [X0: $i] :
( c_in(X0,iPr_def_11,tc_Message_Omsg)
| ( c_Main_OsubsetI__1(iPr_def_13,c_Message_Oparts(iPr_def_11),tc_Message_Omsg) = v_X )
| ~ c_in(X0,iPr_def_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_3422,c_594]) ).
tcf(c_8071,plain,
( c_in(v_Y,iPr_def_11,tc_Message_Omsg)
| ( c_Main_OsubsetI__1(iPr_def_13,c_Message_Oparts(iPr_def_11),tc_Message_Omsg) = v_X ) ),
inference(superposition,[status(thm)],[c_194,c_4972]) ).
tcf(c_8077,plain,
c_Main_OsubsetI__1(iPr_def_13,c_Message_Oparts(iPr_def_11),tc_Message_Omsg) = v_X,
inference(forward_subsumption_resolution,[status(thm)],[c_8071,c_192]) ).
tcf(c_8085,plain,
( c_lessequals(iPr_def_13,c_Message_Oparts(iPr_def_11),tc_set(tc_Message_Omsg))
| ~ c_in(v_X,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_8077,c_797]) ).
tcf(c_8086,plain,
c_lessequals(iPr_def_13,c_Message_Oparts(iPr_def_11),tc_set(tc_Message_Omsg)),
inference(forward_subsumption_resolution,[status(thm)],[c_8085,c_193]) ).
tcf(c_8371,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(iPr_def_13),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_8086,c_68]) ).
tcf(c_8372,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_14,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_8371,c_191]) ).
tcf(c_8387,plain,
! [X0: $i] :
( c_in(X0,iPr_def_11,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_8372,c_594]) ).
tcf(c_8437,plain,
c_in(v_Y,iPr_def_11,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_194,c_8387]) ).
tcf(c_8443,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8437,c_192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV260-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 19:01:08 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 6.42/1.74 % SZS status Started for theBenchmark.p
% 6.42/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 6.42/1.74
% 6.42/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.42/1.74
% 6.42/1.74 % ------ iProver source info
% 6.42/1.74
% 6.42/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 6.42/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.42/1.74 % git: non_committed_changes: false
% 6.42/1.74
% 6.42/1.74 % ------ Parsing...% successful
% 6.42/1.74
% 6.42/1.74
% 6.42/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.42/1.74
% 6.42/1.74 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 6.42/1.74
% 6.42/1.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.42/1.74
% 6.42/1.74 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.42/1.74 % ------ Proving...
% 6.42/1.74 % ------ Problem Properties
% 6.42/1.74
% 6.42/1.74 %
% 6.42/1.74 % clauses 15
% 6.42/1.74 % conjectures 3
% 6.42/1.74 % EPR 3
% 6.42/1.74 % Horn 13
% 6.42/1.74 % unary 8
% 6.42/1.74 % binary 5
% 6.42/1.74 % lits 24
% 6.42/1.74 % lits eq 6
% 6.42/1.74 % fd_pure 0
% 6.42/1.74 % fd_pseudo 0
% 6.42/1.74 % fd_cond 0
% 6.42/1.74 % fd_pseudo_cond 1
% 6.42/1.74 % AC symbols 0
% 6.42/1.74
% 6.42/1.74 % ------ Schedule dynamic 5 is on
% 6.42/1.74
% 6.42/1.74 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.42/1.74
% 6.42/1.74
% 6.42/1.74 % ------
% 6.42/1.74 % Current options:
% 6.42/1.74 % ------
% 6.42/1.74
% 6.42/1.74
% 6.42/1.74 %
% 6.42/1.74
% 6.42/1.74 % ------ Proving...
% 6.42/1.74 %
% 6.42/1.74
% 6.42/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 6.42/1.74
% 6.42/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.42/1.74
% 6.42/1.74
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