%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW470+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 : Tue Sep 29 01:30:24 PM UTC 2026
% Result : Theorem 5.41s 1.55s
% Output : Refutation 5.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 15 unt; 0 def)
% Number of atoms : 32 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 5 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 13 con; 0-4 aty)
% Number of variables : 31 ( 29 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
is_bool(fFalse),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',fact_5_escape) ).
fof(f113,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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(f158,plain,
! [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)))
| ? [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_state_bool(hAPP_a2036067514e_bool(X3,X4),X5)) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f160,plain,
! [X0,X1] :
( hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0
| ~ is_bool(X0) ),
inference(ennf_transformation,[],[f120]) ).
fof(f166,plain,
! [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)))
| ( ~ 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),sK4(X0,X1,X2,X3))),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,sK3(X0,X1,X2,X3))))),bot_bo1687970473a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK3(X0,X1,X2,X3)),sK4(X0,X1,X2,X3))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X4,sK3(X0,X1,X2,X3)),skolemize(X5,sK4(X0,X1,X2,X3))],[f158]) ).
fof(f167,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(f169,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f113]) ).
fof(f171,plain,
is_bool(fFalse),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
! [X0,X1] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0,
inference(cnf_transformation,[],[f121]) ).
fof(f203,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK3(X0,X1,X2,X3)),sK4(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,[],[f166]) ).
fof(f210,plain,
! [X0,X1] :
( ~ is_bool(X0)
| hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 ),
inference(cnf_transformation,[],[f160]) ).
fof(f243,plain,
! [X0] : fFalse = hAPP_state_bool(cOMBK_bool_state(fFalse),X0),
inference(unit_resulting_resolution,[],[f210,f171]) ).
fof(f632,plain,
hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),sK3(g,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)),cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)))),sK4(g,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)),cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse))))),
inference(unit_resulting_resolution,[],[f203,f167]) ).
fof(f636,plain,
hBOOL(hAPP_state_bool(cOMBK_bool_state(fFalse),sK4(g,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)),cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse))))),
inference(forward_demodulation,[],[f632,f202]) ).
fof(f638,plain,
hBOOL(fFalse),
inference(forward_demodulation,[],[f636,f243]) ).
fof(f640,plain,
$false,
inference(forward_subsumption_resolution,[],[f638,f169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW470+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n020.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 14:01:49 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.54/1.35 % (177331)Detected formulas, will run a generic FOF schedule.
% 4.54/1.35 % (177415)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=203194579:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.54/1.35 % (177419)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=616916382:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.54/1.35 % (177418)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1694559838:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.54/1.35 % (177417)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3511248578:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.54/1.35 % (177416)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2231526448:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.54/1.35 % (177418)Refutation not found, incomplete strategy
% 4.54/1.35 % (177418)------------------------------
% 4.54/1.35 % (177418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.54/1.35 % (177418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.35 % (177418)CaDiCaL version: 2.1.3
% 4.54/1.35 % (177418)Termination reason: Refutation not found, incomplete strategy
% 4.54/1.35 % (177418)Time elapsed: 0.004 s
% 4.54/1.35 % (177418)Peak memory usage: 88 MB
% 4.54/1.35 % (177418)Instructions burned: 4 (million)
% 4.54/1.35 % (177420)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4188484865:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.54/1.35 % (177421)dis-21_1_sil=8000:lcm=predicate:random_seed=3885483235:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.54/1.35 % (177419)Instruction limit reached!
% 4.54/1.35 % (177419)------------------------------
% 4.54/1.35 % (177419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.54/1.35 % (177419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.35 % (177419)CaDiCaL version: 2.1.3
% 4.54/1.35 % (177419)Termination reason: Instruction limit
% 4.54/1.35 % (177419)Termination phase: Saturation
% 4.54/1.35 % (177419)Time elapsed: 0.052 s
% 4.54/1.35 % (177419)Peak memory usage: 88 MB
% 4.54/1.35 % (177419)Instructions burned: 120 (million)
% 4.54/1.35 % (177421)Instruction limit reached!
% 4.54/1.35 % (177421)------------------------------
% 4.54/1.35 % (177421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.54/1.35 % (177421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.35 % (177421)CaDiCaL version: 2.1.3
% 4.54/1.35 % (177421)Termination reason: Instruction limit
% 4.54/1.35 % (177421)Termination phase: Saturation
% 4.54/1.35 % (177421)Time elapsed: 0.056 s
% 4.54/1.35 % (177421)Peak memory usage: 88 MB
% 4.54/1.35 % (177421)Instructions burned: 129 (million)
% 4.54/1.35 % (177420)Instruction limit reached!
% 4.54/1.35 % (177420)------------------------------
% 4.54/1.35 % (177420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.54/1.35 % (177420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.35 % (177420)CaDiCaL version: 2.1.3
% 4.54/1.35 % (177420)Termination reason: Instruction limit
% 4.54/1.35 % (177420)Termination phase: Saturation
% 4.54/1.35 % (177420)Time elapsed: 0.084 s
% 4.54/1.35 % (177420)Peak memory usage: 89 MB
% 4.54/1.35 % (177420)Instructions burned: 140 (million)
% 4.54/1.35 % (177429)lrs+10_1_sil=8000:sp=occurrence:random_seed=3314169583:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.54/1.35 % (177430)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2572365885:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.54/1.35 % (177418)------------------------------
% 4.54/1.35 % (177418)------------------------------
% 4.54/1.35 % (177430)First to succeed.
% 4.54/1.35 % (177430)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-177331"
% 4.54/1.35 % (177431)lrs+1011_1_sil=32000:sp=occurrence:random_seed=844758800:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.54/1.35 % (177429)Instruction limit reached!
% 4.54/1.35 % (177429)------------------------------
% 4.54/1.35 % (177429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.55 % (177429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.55 % (177429)CaDiCaL version: 2.1.3
% 5.41/1.55 % (177429)Termination reason: Instruction limit
% 5.41/1.55 % (177429)Termination phase: Saturation
% 5.41/1.55 % (177429)Time elapsed: 0.173 s
% 5.41/1.55 % (177429)Peak memory usage: 91 MB
% 5.41/1.55 % (177429)Instructions burned: 286 (million)
% 5.41/1.55 % (177415)Also succeeded, but the first one will report.
% 5.41/1.55 % (177434)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3845625579:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.41/1.55 % (177431)Instruction limit reached!
% 5.41/1.55 % (177431)------------------------------
% 5.41/1.55 % (177431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.55 % (177431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.55 % (177431)CaDiCaL version: 2.1.3
% 5.41/1.55 % (177431)Termination reason: Instruction limit
% 5.41/1.55 % (177431)Termination phase: Saturation
% 5.41/1.55 % (177431)Time elapsed: 0.197 s
% 5.41/1.55 % (177431)Peak memory usage: 91 MB
% 5.41/1.55 % (177431)Instructions burned: 326 (million)
% 5.41/1.55 % (177430)Refutation found. Thanks to Tanya!
% 5.41/1.55 % SZS status Theorem for theBenchmark
% 5.41/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 5.41/1.55 % (177430)------------------------------
% 5.41/1.55 % (177430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.55 % (177430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.55 % (177430)CaDiCaL version: 2.1.3
% 5.41/1.55 % (177430)Termination reason: Refutation
% 5.41/1.55 % (177430)Time elapsed: 0.026 s
% 5.41/1.55 % (177430)Peak memory usage: 89 MB
% 5.41/1.55 % (177430)Instructions burned: 45 (million)
% 5.41/1.55 % (177430)------------------------------
% 5.41/1.55 % (177430)------------------------------
% 5.41/1.55 % (177331)Success in time 0.68 s
% 5.41/1.55 % Vampire exiting
%------------------------------------------------------------------------------