%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV274-2 : 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 : 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 03:16:54 PM UTC 2026
% Result : Unsatisfiable 4.03s 1.42s
% Output : CNFRefutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 16 unt; 3 def)
% Number of atoms : 114 ( 11 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 59 ( 26 ~; 33 |; 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 : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth__trans_0) ).
fof(f3,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(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f6,negated_conjecture,
c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f7,negated_conjecture,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f8,negated_conjecture,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_57,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,[],[f1]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,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,[],[f3]) ).
tcf(c_60,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_61,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_62,negated_conjecture,
c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,negated_conjecture,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(cnf_transformation,[],[f7]) ).
tcf(c_64,negated_conjecture,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(cnf_transformation,[],[f8]) ).
tcf(c_165,definition,
iPr_def_10 = c_Message_Osynth(v_H),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_166,definition,
iPr_def_11 = c_insert(v_X,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_167,definition,
iPr_def_12 = c_Message_Osynth(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_168,negated_conjecture,
~ c_in(v_Y,iPr_def_10,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_64,c_165]) ).
tcf(c_169,negated_conjecture,
c_in(v_X,iPr_def_10,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_170,negated_conjecture,
c_in(v_Y,iPr_def_12,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_62,c_166,c_167]) ).
tcf(c_376,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_57,c_61]) ).
tcf(c_389,plain,
! [X0: $i] :
( c_in(X0,v_H,tc_Message_Omsg)
| ( X0 = v_X )
| ~ c_in(X0,iPr_def_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_166,c_59]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ c_lessequals(X1,iPr_def_10,tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_165,c_58]) ).
tcf(c_410,plain,
! [X0: $i,X1: $i] :
( c_in(X0,iPr_def_10,tc_Message_Omsg)
| ~ c_lessequals(X1,iPr_def_10,tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_404,c_165]) ).
tcf(c_473,plain,
! [X0: $i] :
( c_lessequals(iPr_def_11,X0,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(iPr_def_11,X0,tc_Message_Omsg),v_H,tc_Message_Omsg)
| ( c_Main_OsubsetI__1(iPr_def_11,X0,tc_Message_Omsg) = v_X ) ),
inference(superposition,[status(thm)],[c_60,c_389]) ).
tcf(c_500,plain,
! [X0: $i] :
( c_lessequals(X0,c_Message_Osynth(v_H),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,iPr_def_10,tc_Message_Omsg),v_H,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_165,c_376]) ).
tcf(c_505,plain,
! [X0: $i] :
( c_lessequals(X0,iPr_def_10,tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,iPr_def_10,tc_Message_Omsg),v_H,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_500,c_165]) ).
tcf(c_599,plain,
! [X0: $i] :
( c_in(X0,iPr_def_10,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_12,tc_Message_Omsg)
| ~ c_lessequals(iPr_def_11,iPr_def_10,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_167,c_410]) ).
tcf(c_1276,plain,
( c_lessequals(iPr_def_11,iPr_def_10,tc_set(tc_Message_Omsg))
| ( c_Main_OsubsetI__1(iPr_def_11,iPr_def_10,tc_Message_Omsg) = v_X ) ),
inference(superposition,[status(thm)],[c_473,c_505]) ).
tcf(c_1459,plain,
! [X0: $i] :
( c_in(X0,iPr_def_10,tc_Message_Omsg)
| ( c_Main_OsubsetI__1(iPr_def_11,iPr_def_10,tc_Message_Omsg) = v_X )
| ~ c_in(X0,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1276,c_599]) ).
tcf(c_1577,plain,
( c_in(v_Y,iPr_def_10,tc_Message_Omsg)
| ( c_Main_OsubsetI__1(iPr_def_11,iPr_def_10,tc_Message_Omsg) = v_X ) ),
inference(superposition,[status(thm)],[c_170,c_1459]) ).
tcf(c_1583,plain,
c_Main_OsubsetI__1(iPr_def_11,iPr_def_10,tc_Message_Omsg) = v_X,
inference(forward_subsumption_resolution,[status(thm)],[c_1577,c_168]) ).
tcf(c_1584,plain,
( c_lessequals(iPr_def_11,iPr_def_10,tc_set(tc_Message_Omsg))
| ~ c_in(v_X,iPr_def_10,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1583,c_61]) ).
tcf(c_1595,plain,
c_lessequals(iPr_def_11,iPr_def_10,tc_set(tc_Message_Omsg)),
inference(forward_subsumption_resolution,[status(thm)],[c_1584,c_169]) ).
tcf(c_1596,plain,
! [X0: $i] :
( c_in(X0,iPr_def_10,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_12,tc_Message_Omsg) ),
inference(backward_subsumption_resolution,[status(thm)],[c_599,c_1595]) ).
tcf(c_1605,plain,
c_in(v_Y,iPr_def_10,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_170,c_1596]) ).
tcf(c_1611,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1605,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV274-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 18:59:14 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 0.15/0.44
% 0.15/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.44
% 0.15/0.44 % Detected problem language: tptp
% 0.15/0.45 % Proving...
% 4.03/1.42 % SZS status Started for theBenchmark.p
% 4.03/1.42 % SZS status Unsatisfiable for theBenchmark.p
% 4.03/1.42
% 4.03/1.42 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.03/1.42
% 4.03/1.42 % ------ iProver source info
% 4.03/1.42
% 4.03/1.42 % git: date: 2026-07-19 20:42:38 +0200
% 4.03/1.42 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.03/1.42 % git: non_committed_changes: false
% 4.03/1.42
% 4.03/1.42 % ------ Parsing...% successful
% 4.03/1.42
% 4.03/1.42
% 4.03/1.42 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.03/1.42
% 4.03/1.42 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.03/1.42
% 4.03/1.42 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.03/1.42
% 4.03/1.42 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.03/1.42 % ------ Proving...
% 4.03/1.42 % ------ Problem Properties
% 4.03/1.42
% 4.03/1.42 %
% 4.03/1.42 % clauses 11
% 4.03/1.42 % conjectures 3
% 4.03/1.42 % EPR 3
% 4.03/1.42 % Horn 9
% 4.03/1.42 % unary 6
% 4.03/1.42 % binary 3
% 4.03/1.42 % lits 18
% 4.03/1.42 % lits eq 4
% 4.03/1.42 % fd_pure 0
% 4.03/1.42 % fd_pseudo 0
% 4.03/1.42 % fd_cond 0
% 4.03/1.42 % fd_pseudo_cond 1
% 4.03/1.42 % AC symbols 0
% 4.03/1.42
% 4.03/1.42 % ------ Schedule dynamic 5 is on
% 4.03/1.42
% 4.03/1.42 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.03/1.42
% 4.03/1.42
% 4.03/1.42 % ------
% 4.03/1.42 % Current options:
% 4.03/1.42 % ------
% 4.03/1.42
% 4.03/1.42
% 4.03/1.42 %
% 4.03/1.42
% 4.03/1.42 % ------ Proving...
% 4.03/1.42 %
% 4.03/1.42
% 4.03/1.42 % SZS status Unsatisfiable for theBenchmark.p
% 4.03/1.42
% 4.03/1.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.03/1.42
% 4.03/1.42
%------------------------------------------------------------------------------