%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV242-2 : 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 : n004.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 03:16:46 PM UTC 2026
% Result : Unsatisfiable 2.51s 1.30s
% Output : CNFRefutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 25 unt; 5 def)
% Number of atoms : 121 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 44 ( 24 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 8 ( 6 usr; 6 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,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/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
fof(f5,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper1_0) ).
fof(f6,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper2_0) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X3,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
tcf(c_56,negated_conjecture,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,negated_conjecture,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,negated_conjecture,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,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,[],[f4]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X3,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_87,definition,
iPr_def_10 = c_union(v_G_H,v_H_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_88,definition,
iPr_def_11 = c_Message_Oanalz(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_89,definition,
iPr_def_12 = tc_set(tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_90,definition,
iPr_def_13 = c_Message_Oanalz(v_H_H),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_91,definition,
iPr_def_14 = c_Message_Oanalz(v_G_H),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_92,negated_conjecture,
( ~ c_lessequals(v_H,iPr_def_11,iPr_def_12)
| ~ c_lessequals(v_G,iPr_def_11,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58,c_89,c_87,c_88]) ).
tcf(c_93,negated_conjecture,
c_lessequals(v_H,iPr_def_13,iPr_def_12),
inference(demodulation,[status(thm)],[c_57,c_90]) ).
tcf(c_94,negated_conjecture,
c_lessequals(v_G,iPr_def_14,iPr_def_12),
inference(demodulation,[status(thm)],[c_56,c_91]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),iPr_def_12)
| ~ c_lessequals(X0,X1,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_59,c_89]) ).
tcf(c_250,plain,
! [X0: $i] :
( c_lessequals(iPr_def_14,c_Message_Oanalz(X0),iPr_def_12)
| ~ c_lessequals(v_G_H,X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_91,c_243]) ).
tcf(c_251,plain,
! [X0: $i] :
( c_lessequals(iPr_def_13,c_Message_Oanalz(X0),iPr_def_12)
| ~ c_lessequals(v_H_H,X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_90,c_243]) ).
tcf(c_274,plain,
c_lessequals(v_G_H,iPr_def_10,tc_set(tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_87,c_60]) ).
tcf(c_276,plain,
c_lessequals(v_G_H,iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_274,c_89]) ).
tcf(c_278,plain,
c_lessequals(v_H_H,iPr_def_10,tc_set(tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_87,c_61]) ).
tcf(c_280,plain,
c_lessequals(v_H_H,iPr_def_10,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_278,c_89]) ).
tcf(c_289,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,X2,tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,X2,iPr_def_12)
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_89,c_62]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,X2,iPr_def_12)
| ~ c_lessequals(X1,X2,iPr_def_12)
| ~ c_lessequals(X0,X1,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_289,c_89]) ).
tcf(c_306,plain,
( c_lessequals(iPr_def_14,iPr_def_11,iPr_def_12)
| ~ c_lessequals(v_G_H,iPr_def_10,iPr_def_12) ),
inference(superposition,[status(thm)],[c_88,c_250]) ).
tcf(c_307,plain,
c_lessequals(iPr_def_14,iPr_def_11,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_306,c_276]) ).
tcf(c_326,plain,
( c_lessequals(iPr_def_13,iPr_def_11,iPr_def_12)
| ~ c_lessequals(v_H_H,iPr_def_10,iPr_def_12) ),
inference(superposition,[status(thm)],[c_88,c_251]) ).
tcf(c_327,plain,
c_lessequals(iPr_def_13,iPr_def_11,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_326,c_280]) ).
tcf(c_458,plain,
! [X0: $i] :
( c_lessequals(v_H,X0,iPr_def_12)
| ~ c_lessequals(iPr_def_13,X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_93,c_294]) ).
tcf(c_459,plain,
! [X0: $i] :
( c_lessequals(v_G,X0,iPr_def_12)
| ~ c_lessequals(iPr_def_14,X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_94,c_294]) ).
tcf(c_587,plain,
c_lessequals(v_H,iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_327,c_458]) ).
tcf(c_596,plain,
~ c_lessequals(v_G,iPr_def_11,iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_92,c_587]) ).
tcf(c_611,plain,
c_lessequals(v_G,iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_307,c_459]) ).
tcf(c_614,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_611,c_596]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV242-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n004.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 18:50:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 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
% 0.17/0.43
% 0.17/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.43
% 0.17/0.43 % Detected problem language: tptp
% 0.17/0.44 % Proving...
% 2.51/1.30 % SZS status Started for theBenchmark.p
% 2.51/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.51/1.30
% 2.51/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.51/1.30
% 2.51/1.30 % ------ iProver source info
% 2.51/1.30
% 2.51/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 2.51/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.51/1.30 % git: non_committed_changes: false
% 2.51/1.30
% 2.51/1.30 % ------ Parsing...% successful
% 2.51/1.30
% 2.51/1.30
% 2.51/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.51/1.30
% 2.51/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.51/1.30
% 2.51/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.51/1.30
% 2.51/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.51/1.30 % ------ Proving...
% 2.51/1.30 % ------ Problem Properties
% 2.51/1.30
% 2.51/1.30 %
% 2.51/1.30 % clauses 12
% 2.51/1.30 % conjectures 3
% 2.51/1.30 % EPR 3
% 2.51/1.30 % Horn 12
% 2.51/1.30 % unary 9
% 2.51/1.30 % binary 2
% 2.51/1.30 % lits 16
% 2.51/1.30 % lits eq 5
% 2.51/1.30 % fd_pure 0
% 2.51/1.30 % fd_pseudo 0
% 2.51/1.30 % fd_cond 0
% 2.51/1.30 % fd_pseudo_cond 0
% 2.51/1.30 % AC symbols 0
% 2.51/1.30
% 2.51/1.30 % ------ Schedule dynamic 5 is on
% 2.51/1.30
% 2.51/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.51/1.30
% 2.51/1.30
% 2.51/1.30 % ------
% 2.51/1.30 % Current options:
% 2.51/1.30 % ------
% 2.51/1.30
% 2.51/1.30
% 2.51/1.30 %
% 2.51/1.30
% 2.51/1.30 % ------ Proving...
% 2.51/1.30 %
% 2.51/1.30
% 2.51/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.51/1.30
% 2.51/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.51/1.30
% 2.51/1.30
%------------------------------------------------------------------------------