%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV275-2 : 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 : n026.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 4.02s 1.28s
% Output : CNFRefutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 61 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 56 ( 25 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?; 48 :)
% 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,
! [X0,X1] :
( c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth__mono_0) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_insert(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f4,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f5,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(f6,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f7,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(f8,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(f9,negated_conjecture,
~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_58,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_59,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_insert(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,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,[],[f5]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,X1,X2)
| ~ c_in(X3,X0,X2)
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,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,[],[f7]) ).
tcf(c_65,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,[],[f8]) ).
tcf(c_66,negated_conjecture,
~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_59,c_63]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)
| ( c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2) = X0 ) ),
inference(superposition,[status(thm)],[c_64,c_62]) ).
tcf(c_309,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_58,c_65]) ).
tcf(c_310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,c_insert(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_insert(X1,X2,X3),X3),X2,X3) ),
inference(superposition,[status(thm)],[c_60,c_65]) ).
tcf(c_338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_insert(X2,c_Message_Osynth(X0),tc_Message_Omsg),X3,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_insert(X2,c_Message_Osynth(X0),tc_Message_Omsg),X3,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg)
| ( c_Main_OsubsetI__1(c_insert(X2,c_Message_Osynth(X0),tc_Message_Omsg),X3,tc_Message_Omsg) = X2 )
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_301,c_294]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2)),
inference(superposition,[status(thm)],[c_64,c_310]) ).
tcf(c_460,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_insert(X2,c_Message_Osynth(X0),tc_Message_Omsg),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| ( c_Main_OsubsetI__1(c_insert(X2,c_Message_Osynth(X0),tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = X2 )
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_338,c_65]) ).
tcf(c_1866,plain,
( ( c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X )
| ~ c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_460,c_66]) ).
tcf(c_1937,plain,
c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X,
inference(superposition,[status(thm)],[c_404,c_1866]) ).
tcf(c_1943,plain,
( c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1937,c_309]) ).
tcf(c_1948,plain,
~ c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(global_subsumption_just,[status(thm)],[c_1943,c_66,c_1943]) ).
tcf(c_2007,plain,
$false,
inference(superposition,[status(thm)],[c_61,c_1948]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV275-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 19:01:40 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 4.02/1.28 % SZS status Started for theBenchmark.p
% 4.02/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.02/1.28
% 4.02/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.02/1.28
% 4.02/1.28 % ------ iProver source info
% 4.02/1.28
% 4.02/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 4.02/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.02/1.28 % git: non_committed_changes: false
% 4.02/1.28
% 4.02/1.28 % ------ Parsing...% successful
% 4.02/1.28
% 4.02/1.28
% 4.02/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.02/1.28
% 4.02/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.02/1.28
% 4.02/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.02/1.28
% 4.02/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.02/1.28 % ------ Proving...
% 4.02/1.28 % ------ Problem Properties
% 4.02/1.28
% 4.02/1.28 %
% 4.02/1.28 % clauses 9
% 4.02/1.28 % conjectures 1
% 4.02/1.28 % EPR 0
% 4.02/1.28 % Horn 7
% 4.02/1.28 % unary 2
% 4.02/1.28 % binary 5
% 4.02/1.28 % lits 18
% 4.02/1.28 % lits eq 1
% 4.02/1.28 % fd_pure 0
% 4.02/1.28 % fd_pseudo 0
% 4.02/1.28 % fd_cond 0
% 4.02/1.28 % fd_pseudo_cond 1
% 4.02/1.28 % AC symbols 0
% 4.02/1.28
% 4.02/1.28 % ------ Input Options Time Limit: Unbounded
% 4.02/1.28
% 4.02/1.28
% 4.02/1.28 % ------
% 4.02/1.28 % Current options:
% 4.02/1.28 % ------
% 4.02/1.28
% 4.02/1.28
% 4.02/1.28 %
% 4.02/1.28
% 4.02/1.28 % ------ Proving...
% 4.02/1.28 %
% 4.02/1.28
% 4.02/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.02/1.28
% 4.02/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.02/1.28
% 4.02/1.28
%------------------------------------------------------------------------------