%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV547-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:17:56 PM UTC 2026
% Result : Unsatisfiable 2.91s 0.97s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 28
% Syntax : Number of formulae : 77 ( 63 unt; 1 def)
% Number of atoms : 91 ( 70 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 13 |; 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 : 31 ( 31 usr; 29 con; 0-3 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',a3) ).
fof(f6,axiom,
a_469 = store(a_467,i0,e_468),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
fof(f7,axiom,
a_471 = store(a_469,i3,e_470),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
fof(f8,axiom,
a_473 = store(a_471,i3,e_472),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
fof(f9,axiom,
a_475 = store(a_473,i2,e_474),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
fof(f10,axiom,
a_477 = store(a_475,i2,e_476),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
fof(f11,axiom,
a_479 = store(a_477,i0,e_478),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
fof(f12,axiom,
a_480 = store(a_467,i3,e_470),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
fof(f13,axiom,
a_481 = store(a_480,i0,e_468),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
fof(f14,axiom,
a_483 = store(a_481,i3,e_482),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
fof(f15,axiom,
a_485 = store(a_483,i2,e_484),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
fof(f16,axiom,
a_487 = store(a_485,i0,e_486),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
fof(f17,axiom,
a_489 = store(a_487,i2,e_488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
fof(f19,axiom,
e_468 = select(a_467,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
fof(f20,axiom,
e_470 = select(a_467,i0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
fof(f21,axiom,
e_472 = select(a_471,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
fof(f22,axiom,
e_474 = select(a_471,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
fof(f23,axiom,
e_476 = select(a_475,i0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
fof(f24,axiom,
e_478 = select(a_475,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
fof(f25,axiom,
e_482 = select(a_481,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
fof(f26,axiom,
e_484 = select(a_481,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
fof(f27,axiom,
e_486 = select(a_485,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
fof(f28,axiom,
e_488 = select(a_485,i0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
fof(f29,axiom,
e_491 = select(a_479,i_490),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
fof(f30,axiom,
e_492 = select(a_489,i_490),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
fof(f32,negated_conjecture,
e_491 != e_492,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f40,plain,
e_470 = select(a_471,i3),
inference(superposition,[],[f1,f7]) ).
fof(f43,plain,
e_474 = select(a_475,i2),
inference(superposition,[],[f1,f9]) ).
fof(f45,plain,
e_484 = select(a_485,i2),
inference(superposition,[],[f1,f15]) ).
fof(f66,plain,
! [X0] : store(store(a_467,i0,select(a_467,X0)),X0,e_470) = store(store(a_467,X0,e_470),i0,select(a_467,X0)),
inference(superposition,[],[f3,f20]) ).
fof(f71,plain,
! [X0] : store(store(a_475,i2,select(a_475,X0)),X0,e_478) = store(store(a_475,X0,e_478),i2,select(a_475,X0)),
inference(superposition,[],[f3,f24]) ).
fof(f109,plain,
e_470 = e_474,
inference(superposition,[],[f40,f22]) ).
fof(f113,plain,
a_475 = store(a_473,i2,e_470),
inference(superposition,[],[f9,f109]) ).
fof(f118,plain,
e_470 = select(a_475,i2),
inference(forward_demodulation,[],[f43,f109]) ).
fof(f121,plain,
e_484 = e_486,
inference(superposition,[],[f45,f27]) ).
fof(f127,plain,
a_487 = store(a_485,i0,e_484),
inference(superposition,[],[f16,f121]) ).
fof(f128,plain,
e_470 = e_478,
inference(superposition,[],[f118,f24]) ).
fof(f134,plain,
a_479 = store(a_477,i0,e_470),
inference(superposition,[],[f11,f128]) ).
fof(f168,definition,
( spl0_4
<=> e_470 = e_484 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f170,plain,
( e_470 = e_484
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f480,plain,
store(store(a_467,i0,e_468),i3,e_470) = store(store(a_467,i3,e_470),i0,e_468),
inference(superposition,[],[f66,f19]) ).
fof(f485,plain,
store(a_480,i0,e_468) = store(store(a_467,i0,e_468),i3,e_470),
inference(forward_demodulation,[],[f480,f12]) ).
fof(f514,plain,
! [X0] : store(store(a_475,i2,select(a_475,X0)),X0,e_470) = store(store(a_475,X0,e_470),i2,select(a_475,X0)),
inference(forward_demodulation,[],[f71,f128]) ).
fof(f651,plain,
store(store(a_475,i0,e_470),i2,e_476) = store(store(a_475,i2,e_476),i0,e_470),
inference(superposition,[],[f514,f23]) ).
fof(f655,plain,
store(a_477,i0,e_470) = store(store(a_475,i0,e_470),i2,e_476),
inference(forward_demodulation,[],[f651,f10]) ).
fof(f656,plain,
a_479 = store(store(a_475,i0,e_470),i2,e_476),
inference(forward_demodulation,[],[f655,f134]) ).
fof(f700,plain,
store(a_469,i3,e_470) = store(a_480,i0,e_468),
inference(forward_demodulation,[],[f485,f6]) ).
fof(f705,plain,
store(a_469,i3,e_470) = a_481,
inference(forward_demodulation,[],[f700,f13]) ).
fof(f706,plain,
a_471 = a_481,
inference(forward_demodulation,[],[f705,f7]) ).
fof(f805,plain,
a_483 = store(a_471,i3,e_482),
inference(superposition,[],[f14,f706]) ).
fof(f806,plain,
e_484 = select(a_471,i3),
inference(superposition,[],[f26,f706]) ).
fof(f807,plain,
e_482 = select(a_471,i2),
inference(superposition,[],[f25,f706]) ).
fof(f808,plain,
e_472 = e_482,
inference(forward_demodulation,[],[f807,f21]) ).
fof(f809,plain,
e_474 = e_484,
inference(forward_demodulation,[],[f806,f22]) ).
fof(f812,plain,
e_470 = e_484,
inference(forward_demodulation,[],[f809,f109]) ).
fof(f815,plain,
spl0_4,
inference(avatar_split_clause,[],[f812,f168]) ).
fof(f1422,plain,
( a_487 = store(a_485,i0,e_470)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f127,f170]) ).
fof(f1613,plain,
store(a_471,i3,e_472) = a_483,
inference(forward_demodulation,[],[f805,f808]) ).
fof(f1634,plain,
a_473 = a_483,
inference(forward_demodulation,[],[f1613,f8]) ).
fof(f1696,plain,
a_485 = store(a_473,i2,e_484),
inference(superposition,[],[f15,f1634]) ).
fof(f1702,plain,
( a_485 = store(a_473,i2,e_470)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1696,f170]) ).
fof(f1703,plain,
( a_475 = a_485
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1702,f113]) ).
fof(f1754,plain,
( e_488 = select(a_475,i0)
| ~ spl0_4 ),
inference(superposition,[],[f28,f1703]) ).
fof(f1761,plain,
( e_476 = e_488
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1754,f23]) ).
fof(f1857,plain,
( a_489 = store(a_487,i2,e_476)
| ~ spl0_4 ),
inference(superposition,[],[f17,f1761]) ).
fof(f1944,plain,
( a_487 = store(a_475,i0,e_470)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1422,f1703]) ).
fof(f1961,plain,
( a_479 = store(a_487,i2,e_476)
| ~ spl0_4 ),
inference(superposition,[],[f656,f1944]) ).
fof(f2092,plain,
( a_479 = a_489
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1857,f1961]) ).
fof(f2109,plain,
( select(a_479,i_490) = e_492
| ~ spl0_4 ),
inference(superposition,[],[f30,f2092]) ).
fof(f2115,plain,
( e_491 = e_492
| ~ spl0_4 ),
inference(forward_demodulation,[],[f2109,f29]) ).
fof(f2116,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f2115,f32]) ).
fof(f2117,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f2116]) ).
cnf(s21,plain,
spl0_4,
inference(sat_conversion,[],[f815]) ).
cnf(s34,plain,
~ spl0_4,
inference(sat_conversion,[],[f2117]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s21,s34]) ).
fof(f2118,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV547-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n009.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 11:43:51 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 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
% 2.91/0.97 % (2981806)Input is clausal, will run a generic CNF schedule.
% 2.91/0.97 % (2981815)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=485428206:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.91/0.97 % (2981811)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=3402572865:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.91/0.97 % (2981813)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1958467033:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.91/0.97 % (2981812)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3143809081:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.91/0.97 % (2981817)dis-21_1_sil=8000:lcm=predicate:random_seed=1652570072: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)
% 2.91/0.97 % (2981814)lrs+10_1_sil=8000:sp=occurrence:random_seed=1571612797:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.91/0.97 % (2981817)Refutation not found, incomplete strategy
% 2.91/0.97 % (2981817)------------------------------
% 2.91/0.97 % (2981817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/0.97 % (2981817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.97 % (2981817)CaDiCaL version: 2.1.3
% 2.91/0.97 % (2981817)Termination reason: Refutation not found, incomplete strategy
% 2.91/0.97 % (2981817)Time elapsed: 0.002 s
% 2.91/0.97 % (2981817)Peak memory usage: 88 MB
% 2.91/0.97 % (2981817)Instructions burned: 1 (million)
% 2.91/0.97 % (2981816)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1782997687:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.91/0.97 % (2981816)First to succeed.
% 2.91/0.97 % (2981816)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2981806"
% 2.91/0.97 % (2981814)Instruction limit reached!
% 2.91/0.97 % (2981814)------------------------------
% 2.91/0.97 % (2981814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/0.97 % (2981814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.97 % (2981814)CaDiCaL version: 2.1.3
% 2.91/0.97 % (2981814)Termination reason: Instruction limit
% 2.91/0.97 % (2981814)Termination phase: Saturation
% 2.91/0.97 % (2981814)Time elapsed: 0.062 s
% 2.91/0.97 % (2981814)Peak memory usage: 89 MB
% 2.91/0.97 % (2981814)Instructions burned: 108 (million)
% 2.91/0.97 % (2981815)Instruction limit reached!
% 2.91/0.97 % (2981815)------------------------------
% 2.91/0.97 % (2981815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/0.97 % (2981815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.97 % (2981815)CaDiCaL version: 2.1.3
% 2.91/0.97 % (2981815)Termination reason: Instruction limit
% 2.91/0.97 % (2981815)Termination phase: Saturation
% 2.91/0.97 % (2981815)Time elapsed: 0.062 s
% 2.91/0.97 % (2981815)Peak memory usage: 88 MB
% 2.91/0.97 % (2981815)Instructions burned: 114 (million)
% 2.91/0.97 % (2981816)Refutation found. Thanks to Tanya!
% 2.91/0.97 % SZS status Unsatisfiable for theBenchmark
% 2.91/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.91/0.97 % (2981816)------------------------------
% 2.91/0.97 % (2981816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/0.97 % (2981816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.97 % (2981816)CaDiCaL version: 2.1.3
% 2.91/0.97 % (2981816)Termination reason: Refutation
% 2.91/0.97 % (2981816)Time elapsed: 0.034 s
% 2.91/0.97 % (2981816)Peak memory usage: 90 MB
% 2.91/0.97 % (2981816)Instructions burned: 112 (million)
% 2.91/0.97 % (2981816)------------------------------
% 2.91/0.97 % (2981816)------------------------------
% 2.91/0.97 % (2981806)Success in time 0.365 s
% 2.91/0.97 % Vampire exiting
%------------------------------------------------------------------------------