%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ROB004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:36:14 PM UTC 2026
% Result : Unsatisfiable 5.39s 2.01s
% Output : Refutation 8.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 26
% Syntax : Number of formulae : 121 ( 57 unt; 19 def)
% Number of atoms : 266 ( 89 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 283 ( 138 ~; 133 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_add) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',robbins_axiom) ).
fof(f4,axiom,
negate(d) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',negate_d_is_c) ).
fof(f5,axiom,
add(c,d) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_plus_d_is_d) ).
fof(f6,plain,
d = add(c,d),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
add(c,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_plus_c_is_c) ).
fof(f8,plain,
c = add(c,c),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
fof(f10,plain,
b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF0 = negate(b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
negate(b) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = add(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
add(a,sF0) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = negate(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
negate(sF1) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = negate(a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
negate(a) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = add(sF3,sF0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
add(sF3,sF0) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = negate(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
negate(sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = add(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
add(sF2,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
b != sF6,
inference(definition_folding,[],[f10,f24,f22,f20,f12,f18,f16,f14,f12]) ).
fof(f26,plain,
sF1 = add(sF0,a),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f28,plain,
! [X2,X0,X1] : negate(add(negate(add(X1,add(negate(add(X0,X2)),negate(add(X0,negate(X2)))))),negate(add(X1,X0)))) = X1,
inference(superposition,[],[f3,f3]) ).
fof(f31,plain,
! [X2,X0,X1] : negate(add(negate(add(X1,X0)),negate(add(X1,add(negate(add(X0,X2)),negate(add(X0,negate(X2)))))))) = X1,
inference(forward_demodulation,[],[f28,f1]) ).
fof(f33,definition,
( spl7_1
<=> negate(d) = c ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f35,plain,
( negate(d) = c
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f36,plain,
spl7_1,
inference(avatar_split_clause,[],[f4,f33]) ).
fof(f39,definition,
( spl7_2
<=> negate(b) = sF0 ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f41,plain,
( negate(b) = sF0
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f42,plain,
spl7_2,
inference(avatar_split_clause,[],[f12,f39]) ).
fof(f47,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f48,plain,
! [X0,X1] : negate(add(negate(add(X1,X0)),negate(add(negate(X0),X1)))) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f50,definition,
( spl7_3
<=> add(sF2,sF5) = sF6 ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f52,plain,
( add(sF2,sF5) = sF6
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,plain,
spl7_3,
inference(avatar_split_clause,[],[f24,f50]) ).
fof(f55,definition,
( spl7_4
<=> negate(a) = sF3 ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f57,plain,
( negate(a) = sF3
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f58,plain,
spl7_4,
inference(avatar_split_clause,[],[f18,f55]) ).
fof(f62,definition,
( spl7_5
<=> b = sF6 ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f64,plain,
( b != sF6
| spl7_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,plain,
~ spl7_5,
inference(avatar_split_clause,[],[f25,f62]) ).
fof(f67,definition,
( spl7_6
<=> negate(sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f69,plain,
( negate(sF1) = sF2
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
spl7_6,
inference(avatar_split_clause,[],[f16,f67]) ).
fof(f72,definition,
( spl7_7
<=> negate(sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f74,plain,
( negate(sF4) = sF5
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,plain,
spl7_7,
inference(avatar_split_clause,[],[f22,f72]) ).
fof(f84,plain,
! [X2,X0,X1] : add(X0,X1) = negate(add(negate(add(add(X0,X1),X2)),negate(add(X0,add(X1,negate(X2)))))),
inference(superposition,[],[f3,f2]) ).
fof(f85,plain,
! [X2,X0,X1] : add(X0,X1) = negate(add(negate(add(X0,add(X1,X2))),negate(add(X0,add(X1,negate(X2)))))),
inference(forward_demodulation,[],[f84,f2]) ).
fof(f96,definition,
( spl7_8
<=> sF1 = add(sF0,a) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f98,plain,
( sF1 = add(sF0,a)
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
spl7_8,
inference(avatar_split_clause,[],[f26,f96]) ).
fof(f101,plain,
( sF0 = negate(add(negate(sF1),negate(add(sF0,negate(a)))))
| ~ spl7_8 ),
inference(superposition,[],[f3,f98]) ).
fof(f102,plain,
( sF0 = negate(add(negate(sF1),negate(add(sF0,sF3))))
| ~ spl7_4
| ~ spl7_8 ),
inference(forward_demodulation,[],[f101,f57]) ).
fof(f103,plain,
( sF0 = negate(add(negate(sF1),negate(add(sF3,sF0))))
| ~ spl7_4
| ~ spl7_8 ),
inference(forward_demodulation,[],[f102,f1]) ).
fof(f104,plain,
( sF0 = negate(add(negate(sF1),negate(sF4)))
| ~ spl7_4
| ~ spl7_8 ),
inference(forward_demodulation,[],[f103,f20]) ).
fof(f105,plain,
( sF0 = negate(add(negate(sF1),sF5))
| ~ spl7_4
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f104,f74]) ).
fof(f106,plain,
( sF0 = negate(add(sF5,negate(sF1)))
| ~ spl7_4
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f105,f1]) ).
fof(f107,plain,
( sF0 = negate(add(sF5,sF2))
| ~ spl7_4
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f106,f69]) ).
fof(f108,plain,
( sF0 = negate(add(sF2,sF5))
| ~ spl7_4
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f107,f1]) ).
fof(f109,plain,
( sF0 = negate(sF6)
| ~ spl7_3
| ~ spl7_4
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f108,f52]) ).
fof(f112,definition,
( spl7_9
<=> c = add(c,c) ),
introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).
fof(f114,plain,
( c = add(c,c)
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
spl7_9,
inference(avatar_split_clause,[],[f8,f112]) ).
fof(f125,definition,
( spl7_11
<=> d = add(c,d) ),
introduced(definition,[new_symbols(definition,[spl7_11])],[avatar_definition]) ).
fof(f127,plain,
( d = add(c,d)
| ~ spl7_11 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
spl7_11,
inference(avatar_split_clause,[],[f6,f125]) ).
fof(f129,plain,
( d = add(d,c)
| ~ spl7_11 ),
inference(forward_demodulation,[],[f127,f1]) ).
fof(f192,definition,
( spl7_12
<=> sF0 = negate(sF6) ),
introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).
fof(f194,plain,
( sF0 = negate(sF6)
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl7_12
| ~ spl7_3
| ~ spl7_4
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f109,f96,f72,f67,f55,f50,f192]) ).
fof(f289,plain,
( ! [X0] : negate(add(negate(add(X0,c)),negate(add(X0,add(negate(c),negate(add(c,negate(c)))))))) = X0
| ~ spl7_9 ),
inference(superposition,[],[f31,f114]) ).
fof(f386,definition,
( spl7_13
<=> d = add(d,c) ),
introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).
fof(f388,plain,
( d = add(d,c)
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f389,plain,
( spl7_13
| ~ spl7_11 ),
inference(avatar_split_clause,[],[f129,f125,f386]) ).
fof(f394,plain,
( c = negate(add(negate(d),negate(add(c,negate(d)))))
| ~ spl7_13 ),
inference(superposition,[],[f47,f388]) ).
fof(f397,plain,
( c = negate(add(c,negate(add(c,c))))
| ~ spl7_1
| ~ spl7_13 ),
inference(forward_demodulation,[],[f394,f35]) ).
fof(f402,plain,
( c = negate(add(c,negate(c)))
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(forward_demodulation,[],[f397,f114]) ).
fof(f403,plain,
( ! [X0] : negate(add(negate(add(X0,c)),negate(add(X0,add(negate(c),c))))) = X0
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(backward_demodulation,[],[f289,f402]) ).
fof(f406,plain,
( ! [X0] : negate(add(negate(add(X0,c)),negate(add(X0,add(c,negate(c)))))) = X0
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(forward_demodulation,[],[f403,f1]) ).
fof(f411,plain,
( ! [X0] : add(X0,c) = negate(add(negate(add(X0,c)),negate(add(X0,add(c,negate(c))))))
| ~ spl7_9 ),
inference(superposition,[],[f85,f114]) ).
fof(f487,plain,
( ! [X0] : add(X0,c) = X0
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(forward_demodulation,[],[f411,f406]) ).
fof(f533,plain,
( ! [X0] : add(c,X0) = X0
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(superposition,[],[f1,f487]) ).
fof(f627,plain,
( ! [X0,X1] : c = negate(add(negate(add(c,X0)),negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1)))))))
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(superposition,[],[f31,f533]) ).
fof(f640,plain,
( ! [X0] : c = negate(add(negate(add(c,X0)),X0))
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(forward_demodulation,[],[f627,f3]) ).
fof(f652,plain,
( ! [X0] : c = negate(add(X0,negate(add(c,X0))))
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(forward_demodulation,[],[f640,f1]) ).
fof(f662,plain,
( ! [X0] : c = negate(add(X0,negate(X0)))
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(forward_demodulation,[],[f652,f533]) ).
fof(f689,plain,
( ! [X0] : negate(add(c,negate(add(X0,negate(negate(X0)))))) = X0
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(superposition,[],[f3,f662]) ).
fof(f690,plain,
( ! [X0] : negate(negate(X0)) = negate(add(negate(add(negate(negate(X0)),X0)),c))
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(superposition,[],[f48,f662]) ).
fof(f705,plain,
( ! [X0] : negate(negate(X0)) = negate(add(c,negate(add(negate(negate(X0)),X0))))
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(forward_demodulation,[],[f690,f1]) ).
fof(f706,plain,
( ! [X0] : negate(negate(add(X0,negate(negate(X0))))) = X0
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(forward_demodulation,[],[f689,f533]) ).
fof(f732,plain,
( ! [X0] : negate(negate(X0)) = negate(negate(add(negate(negate(X0)),X0)))
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(forward_demodulation,[],[f705,f533]) ).
fof(f747,plain,
( ! [X0] : negate(negate(X0)) = negate(negate(add(X0,negate(negate(X0)))))
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(forward_demodulation,[],[f732,f1]) ).
fof(f750,plain,
( ! [X0] : negate(negate(X0)) = X0
| ~ spl7_1
| ~ spl7_9
| ~ spl7_13 ),
inference(forward_demodulation,[],[f747,f706]) ).
fof(f826,plain,
( b = negate(sF0)
| ~ spl7_1
| ~ spl7_2
| ~ spl7_9
| ~ spl7_13 ),
inference(superposition,[],[f750,f41]) ).
fof(f829,plain,
( sF6 = negate(sF0)
| ~ spl7_1
| ~ spl7_9
| ~ spl7_12
| ~ spl7_13 ),
inference(superposition,[],[f750,f194]) ).
fof(f850,plain,
( b = sF6
| ~ spl7_1
| ~ spl7_2
| ~ spl7_9
| ~ spl7_12
| ~ spl7_13 ),
inference(forward_demodulation,[],[f826,f829]) ).
fof(f919,plain,
( $false
| ~ spl7_1
| ~ spl7_2
| spl7_5
| ~ spl7_9
| ~ spl7_12
| ~ spl7_13 ),
inference(forward_subsumption_resolution,[],[f850,f64]) ).
fof(f920,plain,
( ~ spl7_1
| ~ spl7_2
| spl7_5
| ~ spl7_9
| ~ spl7_12
| ~ spl7_13 ),
inference(avatar_contradiction_clause,[],[f919]) ).
cnf(s1,plain,
spl7_1,
inference(sat_conversion,[],[f36]) ).
cnf(s2,plain,
spl7_2,
inference(sat_conversion,[],[f42]) ).
cnf(s3,plain,
spl7_3,
inference(sat_conversion,[],[f53]) ).
cnf(s4,plain,
spl7_4,
inference(sat_conversion,[],[f58]) ).
cnf(s5,plain,
~ spl7_5,
inference(sat_conversion,[],[f65]) ).
cnf(s6,plain,
spl7_6,
inference(sat_conversion,[],[f70]) ).
cnf(s7,plain,
spl7_7,
inference(sat_conversion,[],[f75]) ).
cnf(s8,plain,
spl7_8,
inference(sat_conversion,[],[f99]) ).
cnf(s9,plain,
spl7_9,
inference(sat_conversion,[],[f115]) ).
cnf(s11,plain,
spl7_11,
inference(sat_conversion,[],[f128]) ).
cnf(s12,plain,
( ~ spl7_3
| ~ spl7_4
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8
| spl7_12 ),
inference(sat_conversion,[],[f195]) ).
cnf(s13,plain,
( ~ spl7_11
| spl7_13 ),
inference(sat_conversion,[],[f389]) ).
cnf(s14,plain,
( ~ spl7_1
| ~ spl7_2
| spl7_5
| ~ spl7_9
| ~ spl7_12
| ~ spl7_13 ),
inference(sat_conversion,[],[f920]) ).
cnf(s15,plain,
spl7_13,
inference(rat,[],[s13,s11]) ).
cnf(s16,plain,
spl7_12,
inference(rat,[],[s12,s4,s8,s7,s6,s3]) ).
cnf(s17,plain,
~ spl7_1,
inference(rat,[],[s14,s15,s16,s9,s5,s2]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s1,s17]) ).
fof(f984,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ROB004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.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 : Sun Sep 27 23:20:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 5.39/2.01 % (3063013)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.39/2.01 % (3063022)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2324918527:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.39/2.01 % (3063024)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1681036320:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.39/2.01 % (3063021)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1251621965:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.39/2.01 % (3063019)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3282744828:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.39/2.01 % (3063023)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2933389598:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.39/2.01 % (3063018)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3608693699:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.39/2.01 % (3063020)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2959873302:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.39/2.01 % (3063022)Instruction limit reached!
% 5.39/2.01 % (3063022)------------------------------
% 5.39/2.01 % (3063022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/2.01 % (3063022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/2.01 % (3063022)CaDiCaL version: 2.1.3
% 5.39/2.01 % (3063022)Termination reason: Instruction limit
% 5.39/2.01 % (3063022)Termination phase: Saturation
% 5.39/2.01 % (3063022)Time elapsed: 0.052 s
% 5.39/2.01 % (3063022)Peak memory usage: 90 MB
% 5.39/2.01 % (3063022)Instructions burned: 184 (million)
% 5.39/2.01 % (3063021)Instruction limit reached!
% 5.39/2.01 % (3063021)------------------------------
% 5.39/2.01 % (3063021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/2.01 % (3063021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/2.01 % (3063021)CaDiCaL version: 2.1.3
% 5.39/2.01 % (3063021)Termination reason: Instruction limit
% 5.39/2.01 % (3063021)Termination phase: Saturation
% 5.39/2.01 % (3063021)Time elapsed: 0.082 s
% 5.39/2.01 % (3063021)Peak memory usage: 88 MB
% 5.39/2.01 % (3063021)Instructions burned: 137 (million)
% 5.39/2.01 % (3063023)Instruction limit reached!
% 5.39/2.01 % (3063023)------------------------------
% 5.39/2.01 % (3063023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/2.01 % (3063023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/2.01 % (3063023)CaDiCaL version: 2.1.3
% 5.39/2.01 % (3063023)Termination reason: Instruction limit
% 5.39/2.01 % (3063023)Termination phase: Saturation
% 5.39/2.01 % (3063023)Time elapsed: 0.095 s
% 5.39/2.01 % (3063023)Peak memory usage: 90 MB
% 5.39/2.01 % (3063023)Instructions burned: 258 (million)
% 5.39/2.01 % (3063032)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2862393880:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 5.39/2.01 % (3063034)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=848560233:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 5.39/2.01 % (3063033)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1480578240:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 5.39/2.01 % (3063034)Instruction limit reached!
% 5.39/2.01 % (3063034)------------------------------
% 5.39/2.01 % (3063034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/2.01 % (3063034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/2.01 % (3063034)CaDiCaL version: 2.1.3
% 5.39/2.01 % (3063034)Termination reason: Instruction limit
% 5.39/2.01 % (3063034)Termination phase: Saturation
% 5.39/2.01 % (3063034)Time elapsed: 0.066 s
% 5.39/2.01 % (3063034)Peak memory usage: 92 MB
% 5.39/2.01 % (3063034)Instructions burned: 219 (million)
% 5.39/2.01 % (3063038)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=966259541:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 5.39/2.01 % (3063038)Instruction limit reached!
% 5.39/2.01 % (3063038)------------------------------
% 5.39/2.01 % (3063038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/2.01 % (3063038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/2.01 % (3063038)CaDiCaL version: 2.1.3
% 5.39/2.01 % (3063038)Termination reason: Instruction limit
% 5.39/2.01 % (3063038)Termination phase: Saturation
% 5.39/2.01 % (3063038)Time elapsed: 0.091 s
% 5.39/2.01 % (3063038)Peak memory usage: 91 MB
% 5.39/2.01 % (3063038)Instructions burned: 317 (million)
% 5.39/2.01 % (3063040)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=582649697:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/12125Mi)
% 5.39/2.01 % (3063024)Instruction limit reached!
% 5.39/2.01 % (3063024)------------------------------
% 5.39/2.01 % (3063024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/2.01 % (3063024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/2.01 % (3063024)CaDiCaL version: 2.1.3
% 5.39/2.01 % (3063024)Termination reason: Instruction limit
% 5.39/2.01 % (3063024)Termination phase: Saturation
% 5.39/2.01 % (3063024)Time elapsed: 0.591 s
% 5.39/2.01 % (3063024)Peak memory usage: 96 MB
% 5.39/2.01 % (3063024)Instructions burned: 1188 (million)
% 5.39/2.01 % (3063042)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3619810996:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2992 on theBenchmark for (2992ds/2836Mi)
% 5.39/2.01 % (3063018)First to succeed.
% 5.39/2.01 % (3063018)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3063013"
% 5.39/2.01 % (3063019)Also succeeded, but the first one will report.
% 5.39/2.01 % (3063042)Also succeeded, but the first one will report.
% 5.39/2.01 % (3063032)Also succeeded, but the first one will report.
% 5.39/2.01 % (3063040)Also succeeded, but the first one will report.
% 5.39/2.01 % (3063018)Refutation found. Thanks to Tanya!
% 5.39/2.01 % SZS status Unsatisfiable for theBenchmark
% 5.39/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 8.86/2.21 % (3063018)------------------------------
% 8.86/2.21 % (3063018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.86/2.21 % (3063018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.21 % (3063018)CaDiCaL version: 2.1.3
% 8.86/2.21 % (3063018)Termination reason: Refutation
% 8.86/2.21 % (3063018)Time elapsed: 0.749 s
% 8.86/2.21 % (3063018)Peak memory usage: 131 MB
% 8.86/2.21 % (3063018)Instructions burned: 1147 (million)
% 8.86/2.21 % (3063018)------------------------------
% 8.86/2.21 % (3063018)------------------------------
% 8.86/2.21 % (3063013)Success in time 1.167 s
% 8.86/2.21 % Vampire exiting
%------------------------------------------------------------------------------