%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU226+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:47:51 PM UTC 2026
% Result : Theorem 3.96s 1.53s
% Output : Refutation 5.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 41 ( 10 unt; 0 def)
% Number of atoms : 243 ( 41 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 317 ( 115 ~; 117 |; 66 &)
% ( 14 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-3 aty)
% Number of variables : 120 ( 102 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_funct_1) ).
fof(f6,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_funct_1) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f33,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t145_funct_1) ).
fof(f34,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f46,plain,
? [X0,X1] :
( ~ subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f47,plain,
? [X0,X1] :
( ~ subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
& relation(X1)
& function(X1) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f49,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f51,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f50]) ).
fof(f56,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f57,plain,
( ~ subset(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0)
& relation(sK1)
& function(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f47]) ).
fof(f58,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != X3 )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != X3 ) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f49]) ).
fof(f59,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != X3 )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,relation_dom(X0))
& in(X5,X1)
& apply(X0,X5) = X3 )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| apply(X0,X7) != X6 ) )
& ( ? [X8] :
( in(X8,relation_dom(X0))
& in(X8,X1)
& apply(X0,X8) = X6 )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != sK2(X0,X1,X2) )
| ~ in(sK2(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),relation_dom(X0))
& in(sK3(X0,X1,X2),X1)
& sK2(X0,X1,X2) = apply(X0,sK3(X0,X1,X2)) )
| in(sK2(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| apply(X0,X7) != X6 ) )
& ( ( in(sK4(X0,X1,X6),relation_dom(X0))
& in(sK4(X0,X1,X6),X1)
& apply(X0,sK4(X0,X1,X6)) = X6 )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X5,sK3(X0,X1,X2)),skolemize(X8,sK4(X0,X1,X6))],[f59]) ).
fof(f64,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f51]) ).
fof(f65,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X1) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f65]) ).
fof(f67,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ( ( ~ in(sK8(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X0,sK8(X0,X1,X2)),X1)
| ~ in(sK8(X0,X1,X2),X2) )
& ( ( in(sK8(X0,X1,X2),relation_dom(X0))
& in(apply(X0,sK8(X0,X1,X2)),X1) )
| in(sK8(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X1) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f66]) ).
fof(f71,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f72,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK11(X0,X1),X1)
& in(sK11(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f72]) ).
fof(f74,plain,
function(sK1),
inference(cnf_transformation,[],[f57]) ).
fof(f75,plain,
relation(sK1),
inference(cnf_transformation,[],[f57]) ).
fof(f76,plain,
~ subset(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0),
inference(cnf_transformation,[],[f57]) ).
fof(f77,plain,
! [X2,X0,X1,X6] :
( apply(X0,sK4(X0,X1,X6)) = X6
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f78,plain,
! [X2,X0,X1,X6] :
( in(sK4(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f92,plain,
! [X2,X0,X1,X4] :
( in(apply(X0,X4),X1)
| ~ in(X4,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f110,plain,
! [X0,X1] :
( in(sK11(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f111,plain,
! [X0,X1] :
( ~ in(sK11(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f115,plain,
! [X0,X1,X6] :
( in(sK4(X0,X1,X6),X1)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f78]) ).
fof(f116,plain,
! [X0,X1,X6] :
( ~ in(X6,relation_image(X0,X1))
| apply(X0,sK4(X0,X1,X6)) = X6
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f77]) ).
fof(f119,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(apply(X0,X4),X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f92]) ).
fof(f127,plain,
in(sK11(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0),relation_image(sK1,relation_inverse_image(sK1,sK0))),
inference(unit_resulting_resolution,[],[f110,f76]) ).
fof(f128,plain,
~ in(sK11(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0),sK0),
inference(unit_resulting_resolution,[],[f111,f76]) ).
fof(f133,plain,
in(sK4(sK1,relation_inverse_image(sK1,sK0),sK11(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0)),relation_inverse_image(sK1,sK0)),
inference(unit_resulting_resolution,[],[f115,f74,f75,f127]) ).
fof(f134,plain,
in(apply(sK1,sK4(sK1,relation_inverse_image(sK1,sK0),sK11(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0))),sK0),
inference(unit_resulting_resolution,[],[f119,f74,f75,f133]) ).
fof(f139,plain,
sK11(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0) = apply(sK1,sK4(sK1,relation_inverse_image(sK1,sK0),sK11(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0))),
inference(unit_resulting_resolution,[],[f116,f74,f75,f127]) ).
fof(f196,plain,
in(sK11(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0),sK0),
inference(superposition,[],[f134,f139]) ).
fof(f203,plain,
$false,
inference(forward_subsumption_resolution,[],[f196,f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU226+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 04:10:18 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.96/1.53 % (3650926)Detected formulas, will run a generic FOF schedule.
% 3.96/1.53 % (3650937)dis-21_1_sil=8000:lcm=predicate:random_seed=865662294: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)
% 3.96/1.53 % (3650937)Instruction limit reached!
% 3.96/1.53 % (3650937)------------------------------
% 3.96/1.53 % (3650937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.53 % (3650937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.53 % (3650937)CaDiCaL version: 2.1.3
% 3.96/1.53 % (3650937)Termination reason: Instruction limit
% 3.96/1.53 % (3650937)Termination phase: Saturation
% 3.96/1.53 % (3650937)Time elapsed: 0.039 s
% 3.96/1.53 % (3650937)Peak memory usage: 90 MB
% 3.96/1.53 % (3650937)Instructions burned: 130 (million)
% 3.96/1.53 % (3650935)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=534193419:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.96/1.53 % (3650934)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2939482601:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.96/1.53 % (3650932)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=2618642096:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.96/1.53 % (3650931)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=2549924462:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.96/1.53 % (3650936)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2300333935:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.96/1.53 % (3650933)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=3970892152:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.96/1.53 % (3650934)Refutation not found, incomplete strategy
% 3.96/1.53 % (3650934)------------------------------
% 3.96/1.53 % (3650934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.53 % (3650934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.53 % (3650934)CaDiCaL version: 2.1.3
% 3.96/1.53 % (3650934)Termination reason: Refutation not found, incomplete strategy
% 3.96/1.53 % (3650934)Time elapsed: 0.002 s
% 3.96/1.53 % (3650934)Peak memory usage: 88 MB
% 3.96/1.53 % (3650934)Instructions burned: 2 (million)
% 3.96/1.53 % (3650935)Instruction limit reached!
% 3.96/1.53 % (3650935)------------------------------
% 3.96/1.53 % (3650935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.53 % (3650935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.53 % (3650935)CaDiCaL version: 2.1.3
% 3.96/1.53 % (3650935)Termination reason: Instruction limit
% 3.96/1.53 % (3650935)Termination phase: Saturation
% 3.96/1.53 % (3650935)Time elapsed: 0.072 s
% 3.96/1.53 % (3650935)Peak memory usage: 88 MB
% 3.96/1.53 % (3650935)Instructions burned: 121 (million)
% 3.96/1.53 % (3650936)Instruction limit reached!
% 3.96/1.53 % (3650936)------------------------------
% 3.96/1.53 % (3650936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.53 % (3650936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.53 % (3650936)CaDiCaL version: 2.1.3
% 3.96/1.53 % (3650936)Termination reason: Instruction limit
% 3.96/1.53 % (3650936)Termination phase: Saturation
% 3.96/1.53 % (3650936)Time elapsed: 0.096 s
% 3.96/1.53 % (3650936)Peak memory usage: 90 MB
% 3.96/1.53 % (3650936)Instructions burned: 139 (million)
% 3.96/1.53 % (3650945)lrs+10_1_sil=8000:sp=occurrence:random_seed=684639203:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.96/1.53 % (3650945)Instruction limit reached!
% 3.96/1.53 % (3650945)------------------------------
% 3.96/1.53 % (3650945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.53 % (3650945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.53 % (3650945)CaDiCaL version: 2.1.3
% 3.96/1.53 % (3650945)Termination reason: Instruction limit
% 3.96/1.53 % (3650945)Termination phase: Saturation
% 3.96/1.53 % (3650945)Time elapsed: 0.088 s
% 3.96/1.53 % (3650945)Peak memory usage: 91 MB
% 3.96/1.53 % (3650945)Instructions burned: 289 (million)
% 3.96/1.53 % (3650946)lrs+10_1_sil=32000:urr=on:br=off:random_seed=587870642:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.96/1.53 % (3650946)First to succeed.
% 3.96/1.53 % (3650946)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3650926"
% 3.96/1.53 % (3650934)------------------------------
% 3.96/1.53 % (3650934)------------------------------
% 3.96/1.53 % (3650947)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1943084333:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.96/1.53 % (3650947)Also succeeded, but the first one will report.
% 3.96/1.53 % (3650949)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=4031443213:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.96/1.53 % (3650949)Instruction limit reached!
% 3.96/1.53 % (3650949)------------------------------
% 3.96/1.53 % (3650949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.53 % (3650949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.53 % (3650949)CaDiCaL version: 2.1.3
% 3.96/1.53 % (3650949)Termination reason: Instruction limit
% 3.96/1.53 % (3650949)Termination phase: Saturation
% 3.96/1.53 % (3650949)Time elapsed: 0.068 s
% 3.96/1.53 % (3650949)Peak memory usage: 91 MB
% 3.96/1.53 % (3650949)Instructions burned: 248 (million)
% 3.96/1.53 % (3650952)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=566699342:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.96/1.53 % (3650952)Refutation not found, incomplete strategy
% 3.96/1.53 % (3650952)------------------------------
% 3.96/1.53 % (3650952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.53 % (3650952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.53 % (3650952)CaDiCaL version: 2.1.3
% 3.96/1.53 % (3650952)Termination reason: Refutation not found, incomplete strategy
% 3.96/1.53 % (3650952)Time elapsed: 0.003 s
% 3.96/1.53 % (3650952)Peak memory usage: 88 MB
% 3.96/1.53 % (3650952)Instructions burned: 2 (million)
% 3.96/1.53 % (3650946)Refutation found. Thanks to Tanya!
% 3.96/1.53 % SZS status Theorem for theBenchmark
% 3.96/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 5.39/1.73 % (3650946)------------------------------
% 5.39/1.73 % (3650946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.73 % (3650946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.73 % (3650946)CaDiCaL version: 2.1.3
% 5.39/1.73 % (3650946)Termination reason: Refutation
% 5.39/1.73 % (3650946)Time elapsed: 0.007 s
% 5.39/1.73 % (3650946)Peak memory usage: 89 MB
% 5.39/1.73 % (3650946)Instructions burned: 8 (million)
% 5.39/1.73 % (3650946)------------------------------
% 5.39/1.73 % (3650946)------------------------------
% 5.39/1.73 % (3650926)Success in time 0.67 s
% 5.39/1.73 % Vampire exiting
%------------------------------------------------------------------------------