%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV272-2 : 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 03:16:53 PM UTC 2026
% Result : Unsatisfiable 1.69s 1.30s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 14 unt; 4 def)
% Number of atoms : 129 ( 4 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 63 ( 26 ~; 37 |; 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; 5 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2,negated_conjecture,
~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3,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(f4,axiom,
! [X2,X0,X1] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody_0) ).
fof(f5,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f6,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_OUn__iff_0) ).
fof(f7,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_OUn__iff_1) ).
fof(f8,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_OUn__iff_2) ).
tcf(c_57,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,negated_conjecture,
~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[],[f2]) ).
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,[],[f3]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,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,[],[f6]) ).
tcf(c_63,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,[],[f7]) ).
tcf(c_64,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,[],[f8]) ).
tcf(c_102,definition,
iPr_def_10 = c_Message_Oparts(v_H),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_103,definition,
iPr_def_11 = c_Message_Osynth(v_H),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_104,definition,
iPr_def_12 = c_union(iPr_def_10,iPr_def_11,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_105,definition,
iPr_def_13 = c_Message_Omsg_OCrypt(v_K,v_X),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_106,negated_conjecture,
~ c_in(v_X,iPr_def_12,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_58,c_103,c_102,c_104]) ).
tcf(c_107,negated_conjecture,
c_in(iPr_def_13,iPr_def_12,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_57,c_105]) ).
tcf(c_286,plain,
! [X0: $i] :
( c_in(X0,iPr_def_10,tc_Message_Omsg)
| ~ c_in(X0,v_H,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_102,c_61]) ).
tcf(c_300,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_13,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_105,c_59]) ).
tcf(c_302,plain,
! [X0: $i] :
( c_in(iPr_def_13,X0,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_13,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_300,c_105]) ).
tcf(c_316,plain,
! [X0: $i] :
( c_in(X0,iPr_def_12,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_10,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_104,c_63]) ).
tcf(c_324,plain,
! [X0: $i] :
( c_in(X0,iPr_def_12,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_104,c_64]) ).
tcf(c_333,plain,
! [X0: $i] :
( c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_13,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_105,c_60]) ).
tcf(c_353,plain,
! [X0: $i] :
( c_in(X0,iPr_def_11,tc_Message_Omsg)
| c_in(X0,iPr_def_10,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_104,c_62]) ).
tcf(c_371,plain,
( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ c_in(iPr_def_13,iPr_def_10,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_102,c_333]) ).
tcf(c_372,plain,
( c_in(v_X,iPr_def_10,tc_Message_Omsg)
| ~ c_in(iPr_def_13,iPr_def_10,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_371,c_102]) ).
tcf(c_420,plain,
( c_in(iPr_def_13,iPr_def_11,tc_Message_Omsg)
| c_in(iPr_def_13,iPr_def_10,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_107,c_353]) ).
tcf(c_461,plain,
( c_in(iPr_def_13,v_H,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ c_in(iPr_def_13,iPr_def_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_103,c_302]) ).
tcf(c_462,plain,
( c_in(iPr_def_13,v_H,tc_Message_Omsg)
| c_in(v_X,iPr_def_11,tc_Message_Omsg)
| ~ c_in(iPr_def_13,iPr_def_11,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_461,c_103]) ).
tcf(c_480,plain,
( c_in(iPr_def_13,iPr_def_10,tc_Message_Omsg)
| c_in(iPr_def_13,v_H,tc_Message_Omsg)
| c_in(v_X,iPr_def_11,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_420,c_462]) ).
tcf(c_526,plain,
( c_in(iPr_def_13,iPr_def_10,tc_Message_Omsg)
| c_in(v_X,iPr_def_11,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_480,c_286]) ).
tcf(c_533,plain,
( c_in(iPr_def_13,iPr_def_10,tc_Message_Omsg)
| c_in(v_X,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_526,c_324]) ).
tcf(c_534,plain,
c_in(iPr_def_13,iPr_def_10,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_533,c_106]) ).
tcf(c_535,plain,
c_in(v_X,iPr_def_10,tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[c_372,c_534]) ).
tcf(c_537,plain,
c_in(v_X,iPr_def_12,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_535,c_316]) ).
tcf(c_538,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_537,c_106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV272-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 19:01:11 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 1.69/1.30 % SZS status Started for theBenchmark.p
% 1.69/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.30
% 1.69/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.69/1.30
% 1.69/1.30 % ------ iProver source info
% 1.69/1.30
% 1.69/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.69/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.69/1.30 % git: non_committed_changes: false
% 1.69/1.30
% 1.69/1.30 % ------ Parsing...% successful
% 1.69/1.30
% 1.69/1.30
% 1.69/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.69/1.30
% 1.69/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.69/1.30
% 1.69/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.69/1.30
% 1.69/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.69/1.30 % ------ Proving...
% 1.69/1.30 % ------ Problem Properties
% 1.69/1.30
% 1.69/1.30 %
% 1.69/1.30 % clauses 12
% 1.69/1.30 % conjectures 2
% 1.69/1.30 % EPR 2
% 1.69/1.30 % Horn 10
% 1.69/1.30 % unary 6
% 1.69/1.30 % binary 4
% 1.69/1.30 % lits 20
% 1.69/1.30 % lits eq 4
% 1.69/1.30 % fd_pure 0
% 1.69/1.30 % fd_pseudo 0
% 1.69/1.30 % fd_cond 0
% 1.69/1.30 % fd_pseudo_cond 0
% 1.69/1.30 % AC symbols 0
% 1.69/1.30
% 1.69/1.30 % ------ Schedule dynamic 5 is on
% 1.69/1.30
% 1.69/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.69/1.30
% 1.69/1.30
% 1.69/1.30 % ------
% 1.69/1.30 % Current options:
% 1.69/1.30 % ------
% 1.69/1.30
% 1.69/1.30
% 1.69/1.30 %
% 1.69/1.30
% 1.69/1.30 % ------ Proving...
% 1.69/1.30 %
% 1.69/1.30
% 1.69/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.30
% 1.69/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.69/1.30
% 1.69/1.30
%------------------------------------------------------------------------------