%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV247-2 : 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 : n011.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 03:16:47 PM UTC 2026
% Result : Unsatisfiable 2.47s 1.29s
% Output : CNFRefutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 59 ( 21 unt; 7 def)
% Number of atoms : 206 ( 7 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 94 ( 39 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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; 8 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 55 ( 0 sgn 55 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_1) ).
fof(f2,axiom,
! [X2,X0,X1] :
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_ODecrypt__dest_0) ).
fof(f3,axiom,
! [X0,X1] :
( c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).
fof(f4,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_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/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f7,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/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f8,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f9,negated_conjecture,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f10,negated_conjecture,
~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,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,[],[f4]) ).
tcf(c_63,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,[],[f5]) ).
tcf(c_64,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_65,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,[],[f7]) ).
tcf(c_66,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,negated_conjecture,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,negated_conjecture,
~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[],[f10]) ).
tcf(c_115,definition,
iPr_def_10 = c_union(v_G,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_116,definition,
iPr_def_11 = c_Message_Oanalz(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_117,definition,
iPr_def_12 = c_Message_Osynth(v_G),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_118,definition,
iPr_def_13 = c_union(iPr_def_11,iPr_def_12,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_119,definition,
iPr_def_14 = c_Message_OinvKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_120,definition,
iPr_def_15 = c_Message_Omsg_OKey(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_121,definition,
iPr_def_16 = c_Message_Omsg_OCrypt(v_K,v_X),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_122,negated_conjecture,
~ c_in(v_X,iPr_def_13,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_68,c_117,c_115,c_116,c_118]) ).
tcf(c_123,negated_conjecture,
c_in(iPr_def_15,iPr_def_13,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_67,c_119,c_120]) ).
tcf(c_124,negated_conjecture,
c_in(iPr_def_16,iPr_def_13,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_66,c_121]) ).
tcf(c_351,plain,
! [X0: $i] :
( c_in(X0,iPr_def_11,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_10,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_116,c_62]) ).
tcf(c_359,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OKey(iPr_def_14),X0,tc_Message_Omsg)
| ~ c_in(iPr_def_15,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_120,c_61]) ).
tcf(c_363,plain,
! [X0: $i] :
( c_in(iPr_def_15,X0,tc_Message_Omsg)
| ~ c_in(iPr_def_15,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_359,c_120]) ).
tcf(c_373,plain,
! [X0: $i] :
( c_in(X0,iPr_def_13,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_118,c_63]) ).
tcf(c_396,plain,
( c_in(iPr_def_15,v_G,tc_Message_Omsg)
| ~ c_in(iPr_def_15,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_117,c_363]) ).
tcf(c_413,plain,
! [X0: $i] :
( c_in(X0,iPr_def_10,tc_Message_Omsg)
| ~ c_in(X0,v_G,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_115,c_64]) ).
tcf(c_414,plain,
! [X0: $i] :
( c_in(X0,iPr_def_13,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_118,c_64]) ).
tcf(c_438,plain,
! [X0: $i] :
( c_in(X0,iPr_def_12,tc_Message_Omsg)
| c_in(X0,iPr_def_11,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_13,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_118,c_65]) ).
tcf(c_459,plain,
( c_in(iPr_def_15,iPr_def_12,tc_Message_Omsg)
| c_in(iPr_def_15,iPr_def_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_123,c_438]) ).
tcf(c_460,plain,
( c_in(iPr_def_16,iPr_def_12,tc_Message_Omsg)
| c_in(iPr_def_16,iPr_def_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_124,c_438]) ).
tcf(c_470,plain,
( c_in(iPr_def_15,iPr_def_11,tc_Message_Omsg)
| c_in(iPr_def_15,v_G,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_459,c_396]) ).
tcf(c_479,plain,
! [X0: $i] :
( c_in(v_X,c_Message_Osynth(X0),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),X0,tc_Message_Omsg)
| ~ c_in(iPr_def_16,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_121,c_59]) ).
tcf(c_481,plain,
! [X0: $i] :
( c_in(iPr_def_16,X0,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_16,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_479,c_121]) ).
tcf(c_498,plain,
! [X0: $i] :
( c_in(v_X,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_16,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_121,c_60]) ).
tcf(c_500,plain,
! [X0: $i] :
( c_in(v_X,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_16,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_15,c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_498,c_119,c_120]) ).
tcf(c_525,plain,
( c_in(iPr_def_16,v_G,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ c_in(iPr_def_16,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_117,c_481]) ).
tcf(c_526,plain,
( c_in(iPr_def_16,v_G,tc_Message_Omsg)
| c_in(v_X,iPr_def_12,tc_Message_Omsg)
| ~ c_in(iPr_def_16,iPr_def_12,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_525,c_117]) ).
tcf(c_534,plain,
( c_in(iPr_def_15,iPr_def_11,tc_Message_Omsg)
| c_in(iPr_def_15,iPr_def_10,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_470,c_413]) ).
tcf(c_539,plain,
c_in(iPr_def_15,iPr_def_11,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_534,c_351]) ).
tcf(c_547,plain,
( c_in(iPr_def_16,iPr_def_11,tc_Message_Omsg)
| c_in(iPr_def_16,v_G,tc_Message_Omsg)
| c_in(v_X,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_460,c_526]) ).
tcf(c_557,plain,
( c_in(iPr_def_16,iPr_def_11,tc_Message_Omsg)
| c_in(iPr_def_16,v_G,tc_Message_Omsg)
| c_in(v_X,iPr_def_13,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_547,c_373]) ).
tcf(c_558,plain,
( c_in(iPr_def_16,iPr_def_11,tc_Message_Omsg)
| c_in(iPr_def_16,v_G,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_557,c_122]) ).
tcf(c_567,plain,
( c_in(iPr_def_16,iPr_def_11,tc_Message_Omsg)
| c_in(iPr_def_16,iPr_def_10,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_558,c_413]) ).
tcf(c_572,plain,
c_in(iPr_def_16,iPr_def_11,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_567,c_351]) ).
tcf(c_589,plain,
( c_in(v_X,c_Message_Oanalz(iPr_def_10),tc_Message_Omsg)
| ~ c_in(iPr_def_16,iPr_def_11,tc_Message_Omsg)
| ~ c_in(iPr_def_15,c_Message_Oanalz(iPr_def_10),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_116,c_500]) ).
tcf(c_590,plain,
( c_in(v_X,iPr_def_11,tc_Message_Omsg)
| ~ c_in(iPr_def_16,iPr_def_11,tc_Message_Omsg)
| ~ c_in(iPr_def_15,iPr_def_11,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_589,c_116]) ).
tcf(c_591,plain,
c_in(v_X,iPr_def_11,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_590,c_572,c_539]) ).
tcf(c_596,plain,
c_in(v_X,iPr_def_13,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_591,c_414]) ).
tcf(c_597,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_596,c_122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV247-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 18:51:42 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 2.47/1.29 % SZS status Started for theBenchmark.p
% 2.47/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.47/1.29
% 2.47/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.47/1.29
% 2.47/1.29 % ------ iProver source info
% 2.47/1.29
% 2.47/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.47/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.47/1.29 % git: non_committed_changes: false
% 2.47/1.29
% 2.47/1.29 % ------ Parsing...% successful
% 2.47/1.29
% 2.47/1.29
% 2.47/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.47/1.29
% 2.47/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.47/1.29
% 2.47/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.47/1.29
% 2.47/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.47/1.29 % ------ Proving...
% 2.47/1.29 % ------ Problem Properties
% 2.47/1.29
% 2.47/1.29 %
% 2.47/1.29 % clauses 17
% 2.47/1.29 % conjectures 3
% 2.47/1.29 % EPR 3
% 2.47/1.29 % Horn 15
% 2.47/1.29 % unary 10
% 2.47/1.29 % binary 4
% 2.47/1.29 % lits 27
% 2.47/1.29 % lits eq 7
% 2.47/1.29 % fd_pure 0
% 2.47/1.29 % fd_pseudo 0
% 2.47/1.29 % fd_cond 0
% 2.47/1.29 % fd_pseudo_cond 0
% 2.47/1.29 % AC symbols 0
% 2.47/1.29
% 2.47/1.29 % ------ Schedule dynamic 5 is on
% 2.47/1.29
% 2.47/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.47/1.29
% 2.47/1.29
% 2.47/1.29 % ------
% 2.47/1.29 % Current options:
% 2.47/1.29 % ------
% 2.47/1.29
% 2.47/1.29
% 2.47/1.29 %
% 2.47/1.29
% 2.47/1.29 % ------ Proving...
% 2.47/1.29 %
% 2.47/1.29
% 2.47/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.47/1.29
% 2.47/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.47/1.29
% 2.47/1.29
%------------------------------------------------------------------------------