%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV250-2 : 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 03:16:48 PM UTC 2026
% Result : Unsatisfiable 2.26s 1.27s
% Output : CNFRefutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 36 ( 25 unt; 7 def)
% Number of atoms : 89 ( 16 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 26 ( 12 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 8 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f2,negated_conjecture,
~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3,axiom,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__analz__Un_0) ).
fof(f4,axiom,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__synth__Un_0) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X1,X3)
| c_in(X0,X2,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).
tcf(c_56,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,[],[f1]) ).
tcf(c_57,negated_conjecture,
~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg) = c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X2,X3)
| c_in(X0,X1,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_108,definition,
iPr_def_10 = c_Message_Oanalz(v_G),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_109,definition,
iPr_def_11 = c_Message_Osynth(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_110,definition,
iPr_def_12 = c_union(v_G,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_111,definition,
iPr_def_13 = c_Message_Oanalz(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_112,definition,
iPr_def_14 = c_union(iPr_def_11,iPr_def_13,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_113,definition,
iPr_def_15 = c_union(iPr_def_11,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_114,definition,
iPr_def_16 = c_Message_Oanalz(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_115,negated_conjecture,
~ c_in(v_x,iPr_def_14,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_57,c_110,c_111,c_108,c_109,c_112]) ).
tcf(c_116,negated_conjecture,
c_in(v_x,iPr_def_16,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_56,c_113,c_114]) ).
tcf(c_271,plain,
! [X0: $i] : c_Message_Oanalz(c_union(v_G,X0,tc_Message_Omsg)) = c_Message_Oanalz(c_union(iPr_def_10,X0,tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_108,c_58]) ).
tcf(c_283,plain,
! [X0: $i] :
( c_in(X0,iPr_def_14,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_112,c_61]) ).
tcf(c_299,plain,
! [X0: $i] :
( c_in(X0,iPr_def_14,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_13,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_112,c_62]) ).
tcf(c_357,plain,
c_Message_Oanalz(c_union(iPr_def_10,v_H,tc_Message_Omsg)) = c_Message_Oanalz(iPr_def_12),
inference(superposition,[status(thm)],[c_110,c_271]) ).
tcf(c_359,plain,
c_Message_Oanalz(c_union(iPr_def_10,v_H,tc_Message_Omsg)) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_357,c_111]) ).
tcf(c_390,plain,
c_Message_Oanalz(c_union(c_Message_Osynth(iPr_def_10),v_H,tc_Message_Omsg)) = c_union(iPr_def_13,c_Message_Osynth(iPr_def_10),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_359,c_59]) ).
tcf(c_401,plain,
c_union(iPr_def_13,iPr_def_11,tc_Message_Omsg) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_390,c_109,c_113,c_114]) ).
tcf(c_442,plain,
! [X0: $i] :
( c_in(X0,iPr_def_13,tc_Message_Omsg)
| c_in(X0,iPr_def_11,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_16,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_401,c_60]) ).
tcf(c_493,plain,
( c_in(v_x,iPr_def_13,tc_Message_Omsg)
| c_in(v_x,iPr_def_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_116,c_442]) ).
tcf(c_504,plain,
( c_in(v_x,iPr_def_14,tc_Message_Omsg)
| c_in(v_x,iPr_def_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_493,c_299]) ).
tcf(c_505,plain,
c_in(v_x,iPr_def_11,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_504,c_115]) ).
tcf(c_508,plain,
c_in(v_x,iPr_def_14,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_505,c_283]) ).
tcf(c_509,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_508,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV250-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 18:55:21 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 2.26/1.27 % SZS status Started for theBenchmark.p
% 2.26/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.26/1.27
% 2.26/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.26/1.27
% 2.26/1.27 % ------ iProver source info
% 2.26/1.27
% 2.26/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.26/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.26/1.27 % git: non_committed_changes: false
% 2.26/1.27
% 2.26/1.27 % ------ Parsing...% successful
% 2.26/1.27
% 2.26/1.27
% 2.26/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.26/1.27
% 2.26/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.26/1.27
% 2.26/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.26/1.27
% 2.26/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.26/1.27 % ------ Proving...
% 2.26/1.27 % ------ Problem Properties
% 2.26/1.27
% 2.26/1.27 %
% 2.26/1.27 % clauses 14
% 2.26/1.27 % conjectures 2
% 2.26/1.27 % EPR 2
% 2.26/1.27 % Horn 13
% 2.26/1.27 % unary 11
% 2.26/1.27 % binary 2
% 2.26/1.27 % lits 18
% 2.26/1.27 % lits eq 9
% 2.26/1.28 % fd_pure 0
% 2.26/1.28 % fd_pseudo 0
% 2.26/1.28 % fd_cond 0
% 2.26/1.28 % fd_pseudo_cond 0
% 2.26/1.28 % AC symbols 0
% 2.26/1.28
% 2.26/1.28 % ------ Schedule dynamic 5 is on
% 2.26/1.28
% 2.26/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.26/1.28
% 2.26/1.28
% 2.26/1.28 % ------
% 2.26/1.28 % Current options:
% 2.26/1.28 % ------
% 2.26/1.28
% 2.26/1.28
% 2.26/1.28 %
% 2.26/1.28
% 2.26/1.28 % ------ Proving...
% 2.26/1.28 %
% 2.26/1.28
% 2.26/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.26/1.28
% 2.26/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.26/1.28
% 2.26/1.28
%------------------------------------------------------------------------------