%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV240-1 : 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 : n017.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 03:16:45 PM UTC 2026
% Result : Unsatisfiable 43.76s 17.15s
% Output : CNFRefutation 43.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 15 unt; 6 def)
% Number of atoms : 99 ( 6 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 47 ( 24 ~; 23 |; 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 : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?; 29 :)
% 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(f131,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).
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(f1473,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Message_Oanalz(c_union(X2,X0,tc_Message_Omsg)),c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X3),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__cong_0) ).
fof(f1475,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1555,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_1556,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_1558,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[],[f131]) ).
tcf(c_2059,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_2080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Message_Oanalz(c_union(X2,X0,tc_Message_Omsg)),c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X3),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f1473]) ).
tcf(c_2082,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[],[f1475]) ).
tcf(c_14406,definition,
iPr_def_10 = c_union(v_G,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_14407,definition,
iPr_def_11 = c_Message_Oanalz(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_14408,definition,
iPr_def_12 = c_Message_Oanalz(v_G),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_14409,definition,
iPr_def_13 = c_union(iPr_def_12,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_14410,definition,
iPr_def_14 = c_Message_Oanalz(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_14411,definition,
iPr_def_15 = tc_set(tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_14412,negated_conjecture,
~ c_lessequals(iPr_def_11,iPr_def_14,iPr_def_15),
inference(demodulation,[status(thm)],[c_2082,c_14411,c_14408,c_14409,c_14410,c_14406,c_14407]) ).
tcf(c_20385,plain,
! [X0: $i] : c_lessequals(X0,X0,iPr_def_15),
inference(superposition,[status(thm)],[c_14411,c_1558]) ).
tcf(c_21196,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_2059,c_1556]) ).
tcf(c_21234,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oanalz(X1),iPr_def_15)
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_21196,c_14411]) ).
tcf(c_27929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Message_Oanalz(c_union(X2,X0,tc_Message_Omsg)),c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),iPr_def_15)
| ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X3),iPr_def_15)
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),iPr_def_15) ),
inference(light_normalisation,[status(thm)],[c_2080,c_14411]) ).
tcf(c_27944,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Oanalz(iPr_def_13),iPr_def_15)
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(v_H),iPr_def_15)
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(iPr_def_12),iPr_def_15) ),
inference(superposition,[status(thm)],[c_14409,c_27929]) ).
tcf(c_27946,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),iPr_def_14,iPr_def_15)
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(v_H),iPr_def_15)
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(iPr_def_12),iPr_def_15) ),
inference(light_normalisation,[status(thm)],[c_27944,c_14410]) ).
tcf(c_32202,plain,
( c_lessequals(c_Message_Oanalz(iPr_def_10),iPr_def_14,iPr_def_15)
| ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),iPr_def_15)
| ~ c_lessequals(c_Message_Oanalz(v_G),c_Message_Oanalz(iPr_def_12),iPr_def_15) ),
inference(superposition,[status(thm)],[c_14406,c_27946]) ).
tcf(c_32207,plain,
( c_lessequals(iPr_def_11,iPr_def_14,iPr_def_15)
| ~ c_lessequals(iPr_def_12,c_Message_Oanalz(iPr_def_12),iPr_def_15)
| ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),iPr_def_15) ),
inference(light_normalisation,[status(thm)],[c_32202,c_14407,c_14408]) ).
tcf(c_32208,plain,
~ c_lessequals(iPr_def_12,c_Message_Oanalz(iPr_def_12),iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_32207,c_14412,c_20385]) ).
tcf(c_98885,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Oanalz(X0),iPr_def_15)
| c_lessequals(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_1555,c_21234]) ).
tcf(c_99134,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oanalz(X0),iPr_def_15),
inference(light_normalisation,[status(thm)],[c_98885,c_14411]) ).
tcf(c_99526,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_32208,c_99134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV240-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/10.61 % Computer : n017.cluster.edu
% 0.13/10.61 % Model : x86_64 x86_64
% 0.13/10.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.61 % Memory : 8046.5625MB
% 0.13/10.61 % OS : Linux 6.8.0-71-generic
% 0.13/10.61 % CPULimit : 300
% 0.13/10.61 % WCLimit : 300
% 0.13/10.61 % DateTime : Thu Sep 24 18:45:28 UTC 2026
% 0.13/10.61 % CPUTime :
% 0.13/10.61 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/10.65 Running first-order theorem proving
% 0.13/10.65 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
% 0.13/10.67
% 0.13/10.67 % ======== iProver multi-core TPTP/SMT =========
% 0.13/10.67
% 0.13/10.67 % Detected problem language: tptp
% 0.13/10.68 % Proving...
% 43.76/17.15 % SZS status Started for theBenchmark.p
% 43.76/17.15 % SZS status Unsatisfiable for theBenchmark.p
% 43.76/17.15
% 43.76/17.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 43.76/17.15
% 43.76/17.15 % ------ iProver source info
% 43.76/17.15
% 43.76/17.15 % git: date: 2026-07-19 20:42:38 +0200
% 43.76/17.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 43.76/17.15 % git: non_committed_changes: false
% 43.76/17.15
% 43.76/17.15 % ------ Parsing...% successful
% 43.76/17.15
% 43.76/17.15
% 43.76/17.15 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 43.76/17.15
% 43.76/17.15 % ------ 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 %
% 43.76/17.15
% 43.76/17.15 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 43.76/17.15
% 43.76/17.15 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 43.76/17.15 % ------ Proving...
% 43.76/17.15 % ------ Problem Properties
% 43.76/17.15
% 43.76/17.15 %
% 43.76/17.15 % clauses 341
% 43.76/17.15 % conjectures 1
% 43.76/17.15 % EPR 28
% 43.76/17.15 % Horn 308
% 43.76/17.15 % unary 88
% 43.76/17.15 % binary 196
% 43.76/17.15 % lits 651
% 43.76/17.15 % lits eq 191
% 43.76/17.15 % fd_pure 0
% 43.76/17.15 % fd_pseudo 0
% 43.76/17.15 % fd_cond 21
% 43.76/17.15 % fd_pseudo_cond 50
% 43.76/17.15 % AC symbols 0
% 43.76/17.15
% 43.76/17.15 % ------ Schedule dynamic 5 is on
% 43.76/17.15
% 43.76/17.15 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 43.76/17.15
% 43.76/17.15
% 43.76/17.15 % ------
% 43.76/17.15 % Current options:
% 43.76/17.15 % ------
% 43.76/17.15
% 43.76/17.15
% 43.76/17.15 %
% 43.76/17.15
% 43.76/17.15 % ------ Proving...
% 43.76/17.15 %
% 43.76/17.15
% 43.76/17.15 % SZS status Unsatisfiable for theBenchmark.p
% 43.76/17.15
% 43.76/17.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 43.76/17.15
% 43.76/17.15
%------------------------------------------------------------------------------