%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV543-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 01:17:39 PM UTC 2026
% Result : Unsatisfiable 3.98s 1.24s
% Output : Refutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 26
% Syntax : Number of formulae : 72 ( 59 unt; 1 def)
% Number of atoms : 85 ( 65 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 12 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 26 con; 0-3 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
fof(f3,axiom,
! [X2,X0,X1] : store(store(X0,X1,select(X0,X2)),X2,select(X0,X1)) = store(store(X0,X2,select(X0,X1)),X1,select(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f6,axiom,
a_420 = store(a_418,i0,e_419),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
fof(f7,axiom,
a_422 = store(a_420,i3,e_421),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
fof(f8,axiom,
a_424 = store(a_422,i3,e_423),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
fof(f9,axiom,
a_426 = store(a_424,i2,e_425),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
fof(f10,axiom,
a_428 = store(a_426,i2,e_427),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
fof(f11,axiom,
a_430 = store(a_428,i0,e_429),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
fof(f12,axiom,
a_431 = store(a_418,i3,e_421),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
fof(f13,axiom,
a_432 = store(a_431,i0,e_419),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
fof(f14,axiom,
a_434 = store(a_432,i3,e_433),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
fof(f15,axiom,
a_436 = store(a_434,i2,e_435),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
fof(f16,axiom,
a_438 = store(a_436,i0,e_437),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
fof(f17,axiom,
a_440 = store(a_438,i2,e_439),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
fof(f19,axiom,
e_419 = select(a_418,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
fof(f20,axiom,
e_421 = select(a_418,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
fof(f21,axiom,
e_423 = select(a_422,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).
fof(f22,axiom,
e_425 = select(a_422,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).
fof(f23,axiom,
e_427 = select(a_426,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).
fof(f24,axiom,
e_429 = select(a_426,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).
fof(f25,axiom,
e_433 = select(a_432,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).
fof(f26,axiom,
e_435 = select(a_432,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).
fof(f27,axiom,
e_437 = select(a_436,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).
fof(f28,axiom,
e_439 = select(a_436,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).
fof(f29,negated_conjecture,
a_430 != a_440,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f37,plain,
e_421 = select(a_422,i3),
inference(superposition,[],[f1,f7]) ).
fof(f40,plain,
e_425 = select(a_426,i2),
inference(superposition,[],[f1,f9]) ).
fof(f42,plain,
e_435 = select(a_436,i2),
inference(superposition,[],[f1,f15]) ).
fof(f62,plain,
! [X0] : store(store(a_418,i3,select(a_418,X0)),X0,e_419) = store(store(a_418,X0,e_419),i3,select(a_418,X0)),
inference(superposition,[],[f3,f19]) ).
fof(f66,plain,
! [X0] : store(store(a_426,i0,select(a_426,X0)),X0,e_427) = store(store(a_426,X0,e_427),i0,select(a_426,X0)),
inference(superposition,[],[f3,f23]) ).
fof(f102,plain,
e_421 = e_425,
inference(superposition,[],[f37,f22]) ).
fof(f108,plain,
a_426 = store(a_424,i2,e_421),
inference(superposition,[],[f9,f102]) ).
fof(f111,plain,
e_421 = select(a_426,i2),
inference(forward_demodulation,[],[f40,f102]) ).
fof(f114,plain,
e_435 = e_437,
inference(superposition,[],[f42,f27]) ).
fof(f118,plain,
a_438 = store(a_436,i0,e_435),
inference(superposition,[],[f16,f114]) ).
fof(f121,plain,
e_421 = e_429,
inference(superposition,[],[f111,f24]) ).
fof(f125,plain,
a_430 = store(a_428,i0,e_421),
inference(superposition,[],[f11,f121]) ).
fof(f153,definition,
( spl0_2
<=> e_421 = e_435 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f155,plain,
( e_421 = e_435
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f158,plain,
( a_438 = store(a_436,i0,e_421)
| ~ spl0_2 ),
inference(superposition,[],[f118,f155]) ).
fof(f159,plain,
( a_436 = store(a_434,i2,e_421)
| ~ spl0_2 ),
inference(superposition,[],[f15,f155]) ).
fof(f1354,plain,
store(store(a_418,i3,e_421),i0,e_419) = store(store(a_418,i0,e_419),i3,e_421),
inference(superposition,[],[f62,f20]) ).
fof(f1358,plain,
store(a_420,i3,e_421) = store(store(a_418,i3,e_421),i0,e_419),
inference(forward_demodulation,[],[f1354,f6]) ).
fof(f1359,plain,
store(a_420,i3,e_421) = store(a_431,i0,e_419),
inference(forward_demodulation,[],[f1358,f12]) ).
fof(f1360,plain,
store(a_420,i3,e_421) = a_432,
inference(forward_demodulation,[],[f1359,f13]) ).
fof(f1361,plain,
a_422 = a_432,
inference(forward_demodulation,[],[f1360,f7]) ).
fof(f1387,plain,
store(store(a_426,i0,e_421),i2,e_427) = store(store(a_426,i2,e_427),i0,e_421),
inference(superposition,[],[f66,f111]) ).
fof(f1393,plain,
store(a_428,i0,e_421) = store(store(a_426,i0,e_421),i2,e_427),
inference(forward_demodulation,[],[f1387,f10]) ).
fof(f1395,plain,
a_430 = store(store(a_426,i0,e_421),i2,e_427),
inference(forward_demodulation,[],[f1393,f125]) ).
fof(f1398,plain,
e_433 = select(a_422,i2),
inference(superposition,[],[f25,f1361]) ).
fof(f1399,plain,
e_435 = select(a_422,i3),
inference(superposition,[],[f26,f1361]) ).
fof(f1402,plain,
e_425 = e_435,
inference(forward_demodulation,[],[f1399,f22]) ).
fof(f1403,plain,
e_423 = e_433,
inference(forward_demodulation,[],[f1398,f21]) ).
fof(f1897,plain,
a_434 = store(a_432,i3,e_423),
inference(superposition,[],[f14,f1403]) ).
fof(f1898,plain,
store(a_422,i3,e_423) = a_434,
inference(forward_demodulation,[],[f1897,f1361]) ).
fof(f1899,plain,
a_424 = a_434,
inference(forward_demodulation,[],[f1898,f8]) ).
fof(f1905,plain,
( a_436 = store(a_424,i2,e_421)
| ~ spl0_2 ),
inference(superposition,[],[f159,f1899]) ).
fof(f1906,plain,
( a_426 = a_436
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1905,f108]) ).
fof(f1914,plain,
( e_439 = select(a_426,i0)
| ~ spl0_2 ),
inference(superposition,[],[f28,f1906]) ).
fof(f1922,plain,
( e_427 = e_439
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1914,f23]) ).
fof(f1929,plain,
( a_440 = store(a_438,i2,e_427)
| ~ spl0_2 ),
inference(superposition,[],[f17,f1922]) ).
fof(f1948,plain,
( a_438 = store(a_426,i0,e_421)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f158,f1906]) ).
fof(f1949,plain,
( a_430 = store(a_438,i2,e_427)
| ~ spl0_2 ),
inference(superposition,[],[f1395,f1948]) ).
fof(f2127,plain,
( a_430 = a_440
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1929,f1949]) ).
fof(f2128,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f2127,f29]) ).
fof(f2129,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f2128]) ).
fof(f2137,plain,
e_421 = e_435,
inference(forward_demodulation,[],[f1402,f102]) ).
fof(f2141,plain,
spl0_2,
inference(avatar_split_clause,[],[f2137,f153]) ).
cnf(s18,plain,
~ spl0_2,
inference(sat_conversion,[],[f2129]) ).
cnf(s19,plain,
spl0_2,
inference(sat_conversion,[],[f2141]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s18,s19]) ).
fof(f2144,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV543-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 11:40:00 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.98/1.24 % (1726693)Input is clausal, will run a generic CNF schedule.
% 3.98/1.24 % (1726702)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3390967485:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.98/1.24 % (1726702)Instruction limit reached!
% 3.98/1.24 % (1726702)------------------------------
% 3.98/1.24 % (1726702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.24 % (1726702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.24 % (1726702)CaDiCaL version: 2.1.3
% 3.98/1.24 % (1726702)Termination reason: Instruction limit
% 3.98/1.24 % (1726702)Termination phase: Saturation
% 3.98/1.24 % (1726702)Time elapsed: 0.035 s
% 3.98/1.24 % (1726702)Peak memory usage: 88 MB
% 3.98/1.24 % (1726702)Instructions burned: 117 (million)
% 3.98/1.24 % (1726701)lrs+10_1_sil=8000:sp=occurrence:random_seed=1138995697:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.98/1.24 % (1726699)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1925234128:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.98/1.24 % (1726703)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1807278433:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.98/1.24 % (1726698)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=1179291807:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.98/1.24 % (1726704)dis-21_1_sil=8000:lcm=predicate:random_seed=3110574128:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.98/1.24 % (1726700)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1733713846:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.98/1.24 % (1726704)Refutation not found, incomplete strategy
% 3.98/1.24 % (1726704)------------------------------
% 3.98/1.24 % (1726704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.24 % (1726704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.24 % (1726704)CaDiCaL version: 2.1.3
% 3.98/1.24 % (1726704)Termination reason: Refutation not found, incomplete strategy
% 3.98/1.24 % (1726704)Time elapsed: 0.001 s
% 3.98/1.24 % (1726704)Peak memory usage: 88 MB
% 3.98/1.24 % (1726704)Instructions burned: 1 (million)
% 3.98/1.24 % (1726703)First to succeed.
% 3.98/1.24 % (1726701)Instruction limit reached!
% 3.98/1.24 % (1726701)------------------------------
% 3.98/1.24 % (1726701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.24 % (1726703)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1726693"
% 3.98/1.24 % (1726701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.24 % (1726701)CaDiCaL version: 2.1.3
% 3.98/1.24 % (1726701)Termination reason: Instruction limit
% 3.98/1.24 % (1726701)Termination phase: Saturation
% 3.98/1.24 % (1726701)Time elapsed: 0.062 s
% 3.98/1.24 % (1726701)Peak memory usage: 89 MB
% 3.98/1.24 % (1726701)Instructions burned: 107 (million)
% 3.98/1.24 % (1726712)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2445171327:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.98/1.24 % (1726712)Also succeeded, but the first one will report.
% 3.98/1.24 % (1726713)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2826624183:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.98/1.24 % (1726713)Also succeeded, but the first one will report.
% 3.98/1.24 % (1726704)------------------------------
% 3.98/1.24 % (1726704)------------------------------
% 3.98/1.24 % (1726703)Refutation found. Thanks to Tanya!
% 3.98/1.24 % SZS status Unsatisfiable for theBenchmark
% 3.98/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.98/1.25 % (1726703)------------------------------
% 3.98/1.25 % (1726703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.25 % (1726703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.25 % (1726703)CaDiCaL version: 2.1.3
% 3.98/1.25 % (1726703)Termination reason: Refutation
% 3.98/1.25 % (1726703)Time elapsed: 0.062 s
% 3.98/1.25 % (1726703)Peak memory usage: 90 MB
% 3.98/1.25 % (1726703)Instructions burned: 109 (million)
% 3.98/1.25 % (1726703)------------------------------
% 3.98/1.25 % (1726703)------------------------------
% 3.98/1.25 % (1726693)Success in time 0.489 s
% 3.98/1.25 % Vampire exiting
%------------------------------------------------------------------------------