%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV251-2 : 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 : n014.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 03:16:48 PM UTC 2026
% Result : Unsatisfiable 0.91s 1.29s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 41 ( 29 unt; 6 def)
% Number of atoms : 99 ( 16 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 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 : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
fof(f3,axiom,
! [X2,X0,X1] : c_union(X0,c_minus(X1,X0,tc_set(X2)),X2) = c_union(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel_0) ).
fof(f4,plain,
! [X2,X0,X1] : c_union(X0,X1,X2) = c_union(X0,c_minus(X1,X0,tc_set(X2)),X2),
inference(reorient_equations,[],[f3]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X1,X3,tc_set(X2))
| ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__Diff1_0) ).
fof(f9,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(f12,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f13,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f14,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f15,negated_conjecture,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : c_union(X0,c_minus(X1,X0,tc_set(X2)),X2) = c_union(X0,X1,X2),
inference(cnf_transformation,[],[f4]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X1,X3,tc_set(X2))
| ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2)) )
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_69,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,[],[f9]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_72,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(cnf_transformation,[],[f13]) ).
tcf(c_73,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f14]) ).
tcf(c_74,negated_conjecture,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f15]) ).
tcf(c_171,definition,
iPr_def_10 = c_Message_Oanalz(v_G),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_172,definition,
iPr_def_11 = c_Message_Osynth(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_173,definition,
iPr_def_12 = c_union(iPr_def_11,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_174,definition,
iPr_def_13 = c_Message_Oanalz(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_175,definition,
iPr_def_14 = c_insert(v_X,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_176,definition,
iPr_def_15 = c_Message_Oanalz(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_177,negated_conjecture,
~ c_in(v_x,iPr_def_13,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_74,c_171,c_172,c_173,c_174]) ).
tcf(c_178,negated_conjecture,
c_in(v_x,iPr_def_15,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_73,c_175,c_176]) ).
tcf(c_179,negated_conjecture,
c_in(v_X,iPr_def_11,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_445,plain,
! [X0: $i] :
( c_lessequals(iPr_def_15,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(iPr_def_14,X0,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_176,c_62]) ).
tcf(c_510,plain,
( c_lessequals(iPr_def_15,iPr_def_13,tc_set(tc_Message_Omsg))
| ~ c_lessequals(iPr_def_14,iPr_def_12,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_174,c_445]) ).
tcf(c_564,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(superposition,[status(thm)],[c_71,c_66]) ).
tcf(c_656,plain,
! [X0: $i] :
( c_in(v_x,X0,tc_Message_Omsg)
| ~ c_in(v_x,iPr_def_15,tc_Message_Omsg)
| ~ c_lessequals(iPr_def_15,X0,tc_set(tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_728,plain,
( c_in(v_x,iPr_def_13,tc_Message_Omsg)
| ~ c_in(v_x,iPr_def_15,tc_Message_Omsg)
| ~ c_lessequals(iPr_def_15,iPr_def_13,tc_set(tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[c_656]) ).
tcf(c_853,plain,
! [X0: $i] : c_minus(c_insert(v_X,X0,tc_Message_Omsg),iPr_def_11,tc_set(tc_Message_Omsg)) = c_minus(X0,iPr_def_11,tc_set(tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_179,c_68]) ).
tcf(c_1060,plain,
! [X0: $i] : c_union(iPr_def_11,c_minus(X0,iPr_def_11,tc_set(tc_Message_Omsg)),tc_Message_Omsg) = c_union(iPr_def_11,c_insert(v_X,X0,tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_853,c_64]) ).
tcf(c_1290,plain,
! [X0: $i] : c_union(iPr_def_11,c_insert(v_X,X0,tc_Message_Omsg),tc_Message_Omsg) = c_union(iPr_def_11,X0,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_1060,c_64]) ).
tcf(c_1291,plain,
c_union(iPr_def_11,v_H,tc_Message_Omsg) = c_union(iPr_def_11,iPr_def_14,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_175,c_1290]) ).
tcf(c_1302,plain,
c_union(iPr_def_11,iPr_def_14,tc_Message_Omsg) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_1291,c_173]) ).
tcf(c_1380,plain,
c_lessequals(iPr_def_14,iPr_def_12,tc_set(tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_1302,c_564]) ).
tcf(c_1392,plain,
c_lessequals(iPr_def_15,iPr_def_13,tc_set(tc_Message_Omsg)),
inference(backward_subsumption_resolution,[status(thm)],[c_510,c_1380]) ).
tcf(c_1393,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1392,c_728,c_178,c_177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV251-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 18:53:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 0.91/1.29 % SZS status Started for theBenchmark.p
% 0.91/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.91/1.29
% 0.91/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.91/1.29
% 0.91/1.29 % ------ iProver source info
% 0.91/1.29
% 0.91/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.91/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.91/1.29 % git: non_committed_changes: false
% 0.91/1.29
% 0.91/1.29 % ------ Parsing...% successful
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.91/1.29
% 0.91/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.91/1.29
% 0.91/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.91/1.29
% 0.91/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.91/1.29 % ------ Proving...
% 0.91/1.29 % ------ Problem Properties
% 0.91/1.29
% 0.91/1.29 %
% 0.91/1.29 % clauses 19
% 0.91/1.29 % conjectures 3
% 0.91/1.29 % EPR 3
% 0.91/1.29 % Horn 19
% 0.91/1.29 % unary 12
% 0.91/1.29 % binary 4
% 0.91/1.29 % lits 29
% 0.91/1.29 % lits eq 10
% 0.91/1.29 % fd_pure 0
% 0.91/1.29 % fd_pseudo 0
% 0.91/1.29 % fd_cond 0
% 0.91/1.29 % fd_pseudo_cond 1
% 0.91/1.29 % AC symbols 0
% 0.91/1.29
% 0.91/1.29 % ------ Schedule dynamic 5 is on
% 0.91/1.29
% 0.91/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 % ------
% 0.91/1.29 % Current options:
% 0.91/1.29 % ------
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 %
% 0.91/1.29
% 0.91/1.29 % ------ Proving...
% 0.91/1.29 %
% 0.91/1.29
% 0.91/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.91/1.29
% 0.91/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.91/1.29
% 0.91/1.29
%------------------------------------------------------------------------------