%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW470+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 03:29:44 PM UTC 2026
% Result : Theorem 16.12s 3.29s
% Output : CNFRefutation 16.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 25 unt; 0 def)
% Number of atoms : 56 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 13 ~; 12 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 38 ( 38 usr; 14 con; 0-4 aty)
% Number of variables : 68 ( 0 sgn 66 !; 2 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
is_bool(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fFalse) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5))
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X5)),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,X4)))),bot_bo1687970473a_bool))) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X1,X2)),bot_bo1687970473a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_escape) ).
fof(f22,axiom,
! [X0] : collec1266446174iple_a(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_singleton__conv2) ).
fof(f84,axiom,
! [X0] : collec1266446174iple_a(X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_Collect__def) ).
fof(f113,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f120,axiom,
! [X0,X1] :
( is_bool(X0)
=> hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
fof(f121,axiom,
! [X0,X1] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).
fof(f144,conjecture,
hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f145,negated_conjecture,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
inference(negated_conjecture,[status(cth)],[f144]) ).
fof(f146,plain,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
inference(flattening,[],[f145]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5))
& ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X5)),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,X4)))),bot_bo1687970473a_bool))) )
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X1,X2)),bot_bo1687970473a_bool))) ),
inference(ennf_transformation,[],[f15]) ).
fof(f167,plain,
! [X0,X1] :
( ~ is_bool(X0)
| hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 ),
inference(ennf_transformation,[],[f120]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK13(X0,X1,X2,X3)),sK14(X0,X1,X2,X3)))
& ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sK14(X0,X1,X2,X3))),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,sK13(X0,X1,X2,X3))))),bot_bo1687970473a_bool))) )
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X1,X2)),bot_bo1687970473a_bool))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1,X2,X3)),skolemize(X5,sK14(X0,X1,X2,X3))],[f166]) ).
fof(f242,plain,
is_bool(fFalse),
inference(cnf_transformation,[],[f4]) ).
fof(f244,plain,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
inference(cnf_transformation,[],[f146]) ).
fof(f248,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f113]) ).
fof(f291,plain,
! [X0,X1] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0,
inference(cnf_transformation,[],[f121]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK13(X0,X1,X2,X3)),sK14(X0,X1,X2,X3)))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X1,X2)),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[],[f201]) ).
fof(f296,plain,
! [X0,X1] :
( ~ is_bool(X0)
| hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 ),
inference(cnf_transformation,[],[f167]) ).
fof(f308,plain,
! [X0] : collec1266446174iple_a(X0) = X0,
inference(cnf_transformation,[],[f84]) ).
fof(f313,plain,
! [X0] : collec1266446174iple_a(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool),
inference(cnf_transformation,[],[f22]) ).
tcf(c_49,plain,
is_bool(fFalse),
inference(cnf_transformation,[],[f242]) ).
tcf(c_51,negated_conjecture,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
inference(cnf_transformation,[],[f244]) ).
tcf(c_55,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f248]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0,
inference(cnf_transformation,[],[f291]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X0,X2,X3)),bot_bo1687970473a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK13(X1,X2,X3,X0)),sK14(X1,X2,X3,X0))) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( ( hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 )
| ~ is_bool(X0) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_113,plain,
! [X0: $i] : collec1266446174iple_a(X0) = X0,
inference(cnf_transformation,[],[f308]) ).
tcf(c_118,plain,
! [X0: $i] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) = collec1266446174iple_a(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)),
inference(cnf_transformation,[],[f313]) ).
tcf(c_470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X0,X2,X3)),bot_bo1687970473a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK13(X1,X2,X3,X0)),sK14(X1,X2,X3,X0))) ),
inference(prop_impl_just,[status(thm)],[c_98]) ).
tcf(c_1260,plain,
! [X0: $i] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) = hAPP_H562195827a_bool(fequal1878252616iple_a,X0),
inference(demodulation,[status(thm)],[c_118,c_113]) ).
tcf(c_1547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X0,X2,X3))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK13(X1,X2,X3,X0)),sK14(X1,X2,X3,X0))) ),
inference(demodulation,[status(thm)],[c_470,c_1260]) ).
tcf(c_1657,plain,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))),
inference(demodulation,[status(thm)],[c_51,c_1260]) ).
tcf(c_3372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X0,X2,X3))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK13(X1,X2,X3,X0)),sK14(X1,X2,X3,X0))) ),
inference(prop_impl_just,[status(thm)],[c_1547]) ).
tcf(c_7166,plain,
! [X0: $i] : hAPP_state_bool(cOMBK_bool_state(fFalse),X0) = fFalse,
inference(superposition,[status(thm)],[c_49,c_101]) ).
tcf(c_10643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(hAPP_state_bool(X1,sK14(X0,X2,X3,cOMBK_1458035955bool_a(X1))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(X1),X2,X3)))) ),
inference(superposition,[status(thm)],[c_96,c_3372]) ).
tcf(c_69818,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(fFalse)
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),X1,X2)))) ),
inference(superposition,[status(thm)],[c_7166,c_10643]) ).
tcf(c_69851,plain,
! [X0: $i,X1: $i,X2: $i] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),X1,X2)))),
inference(forward_subsumption_resolution,[status(thm)],[c_69818,c_55]) ).
tcf(c_69936,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1657,c_69851]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW470+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 22:33:44 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 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
% 0.11/0.43 % Proving...
% 16.12/3.29 % SZS status Started for theBenchmark.p
% 16.12/3.29 % SZS status Theorem for theBenchmark.p
% 16.12/3.29
% 16.12/3.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 16.12/3.29
% 16.12/3.29 % ------ iProver source info
% 16.12/3.29
% 16.12/3.29 % git: date: 2026-07-19 20:42:38 +0200
% 16.12/3.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 16.12/3.29 % git: non_committed_changes: false
% 16.12/3.29
% 16.12/3.29 % ------ Parsing...
% 16.12/3.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 16.12/3.29
% 16.12/3.29 % ------ Preprocessing... sup_sim: 43 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 16.12/3.29
% 16.12/3.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 16.12/3.29
% 16.12/3.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 16.12/3.29 % ------ Proving...
% 16.12/3.29 % ------ Problem Properties
% 16.12/3.29
% 16.12/3.29 %
% 16.12/3.29 % clauses 118
% 16.12/3.29 % conjectures 0
% 16.12/3.29 % EPR 2
% 16.12/3.29 % Horn 81
% 16.12/3.29 % unary 34
% 16.12/3.29 % binary 44
% 16.12/3.29 % lits 261
% 16.12/3.29 % lits eq 78
% 16.12/3.29 % fd_pure 0
% 16.12/3.29 % fd_pseudo 0
% 16.12/3.29 % fd_cond 12
% 16.12/3.29 % fd_pseudo_cond 18
% 16.12/3.29 % AC symbols 0
% 16.12/3.29
% 16.12/3.29 % ------ Schedule dynamic 5 is on
% 16.12/3.29
% 16.12/3.29 % ------ no conjectures: strip conj schedule
% 16.12/3.29
% 16.12/3.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 16.12/3.29
% 16.12/3.29
% 16.12/3.29 % ------
% 16.12/3.29 % Current options:
% 16.12/3.29 % ------
% 16.12/3.29
% 16.12/3.29
% 16.12/3.29 %
% 16.12/3.29
% 16.12/3.29 % ------ Proving...
% 16.12/3.29 %
% 16.12/3.29
% 16.12/3.29 % SZS status Theorem for theBenchmark.p
% 16.12/3.29
% 16.12/3.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.12/3.29
% 16.12/3.29
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