%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV240-2 : 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 : n002.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 0.28s 16.07s
% Output : CNFRefutation 0.28s
% 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(f1,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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f3,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/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__cong_0) ).
fof(f4,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/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f5,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/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f6,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
tcf(c_55,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,[],[f1]) ).
tcf(c_56,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_57,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,[],[f3]) ).
tcf(c_58,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,[],[f4]) ).
tcf(c_59,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,[],[f5]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_86,definition,
iPr_def_10 = c_union(v_G,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_87,definition,
iPr_def_11 = c_Message_Oanalz(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_88,definition,
iPr_def_12 = c_Message_Oanalz(v_G),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_89,definition,
iPr_def_13 = c_union(iPr_def_12,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_90,definition,
iPr_def_14 = c_Message_Oanalz(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_91,definition,
iPr_def_15 = tc_set(tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_92,negated_conjecture,
~ c_lessequals(iPr_def_11,iPr_def_14,iPr_def_15),
inference(demodulation,[status(thm)],[c_55,c_91,c_88,c_89,c_90,c_86,c_87]) ).
tcf(c_264,plain,
! [X0: $i] : c_lessequals(X0,X0,iPr_def_15),
inference(superposition,[status(thm)],[c_91,c_60]) ).
tcf(c_288,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_56,c_59]) ).
tcf(c_290,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_288,c_91]) ).
tcf(c_294,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_57,c_91]) ).
tcf(c_307,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_89,c_294]) ).
tcf(c_308,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_307,c_90]) ).
tcf(c_378,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_58,c_290]) ).
tcf(c_385,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oanalz(X0),iPr_def_15),
inference(light_normalisation,[status(thm)],[c_378,c_91]) ).
tcf(c_412,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_86,c_308]) ).
tcf(c_415,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_412,c_87,c_88]) ).
tcf(c_416,plain,
~ c_lessequals(iPr_def_12,c_Message_Oanalz(iPr_def_12),iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_415,c_92,c_264]) ).
tcf(c_423,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_416,c_385]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV240-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/15.37 % Computer : n002.cluster.edu
% 0.09/15.37 % Model : x86_64 x86_64
% 0.09/15.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.37 % Memory : 8046.5625MB
% 0.09/15.37 % OS : Linux 6.8.0-71-generic
% 0.09/15.37 % CPULimit : 300
% 0.09/15.37 % WCLimit : 300
% 0.09/15.37 % DateTime : Thu Sep 24 18:52:57 UTC 2026
% 0.09/15.38 % CPUTime :
% 0.09/15.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/15.41 Running first-order theorem proving
% 0.14/15.41 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
% 0.14/15.42
% 0.14/15.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/15.42
% 0.14/15.42 % Detected problem language: tptp
% 0.14/15.43 % Proving...
% 0.28/16.07 % SZS status Started for theBenchmark.p
% 0.28/16.07 % SZS status Unsatisfiable for theBenchmark.p
% 0.28/16.07
% 0.28/16.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.28/16.07
% 0.28/16.07 % ------ iProver source info
% 0.28/16.07
% 0.28/16.07 % git: date: 2026-07-19 20:42:38 +0200
% 0.28/16.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.28/16.07 % git: non_committed_changes: false
% 0.28/16.07
% 0.28/16.07 % ------ Parsing...% successful
% 0.28/16.07
% 0.28/16.07
% 0.28/16.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.28/16.07
% 0.28/16.07 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.28/16.07
% 0.28/16.07 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.28/16.07
% 0.28/16.07 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.28/16.07 % ------ Proving...
% 0.28/16.07 % ------ Problem Properties
% 0.28/16.07
% 0.28/16.07 %
% 0.28/16.07 % clauses 12
% 0.28/16.07 % conjectures 1
% 0.28/16.07 % EPR 1
% 0.28/16.07 % Horn 11
% 0.28/16.07 % unary 8
% 0.28/16.07 % binary 3
% 0.28/16.07 % lits 17
% 0.28/16.07 % lits eq 6
% 0.28/16.07 % fd_pure 0
% 0.28/16.07 % fd_pseudo 0
% 0.28/16.07 % fd_cond 0
% 0.28/16.07 % fd_pseudo_cond 0
% 0.28/16.07 % AC symbols 0
% 0.28/16.07
% 0.28/16.07 % ------ Schedule dynamic 5 is on
% 0.28/16.07
% 0.28/16.07 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.28/16.07
% 0.28/16.07
% 0.28/16.07 % ------
% 0.28/16.07 % Current options:
% 0.28/16.07 % ------
% 0.28/16.07
% 0.28/16.07
% 0.28/16.07 %
% 0.28/16.07
% 0.28/16.07 % ------ Proving...
% 0.28/16.07 %
% 0.28/16.07
% 0.28/16.07 % SZS status Unsatisfiable for theBenchmark.p
% 0.28/16.07
% 0.28/16.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.28/16.07
%------------------------------------------------------------------------------