%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU077+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:47:12 PM UTC 2026
% Result : Theorem 3.65s 1.45s
% Output : Refutation 4.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 53 ( 15 unt; 0 def)
% Number of atoms : 271 ( 42 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 348 ( 130 ~; 132 |; 65 &)
% ( 14 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 128 ( 108 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,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(f6,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f7,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f28,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( ( subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& subset(X0,relation_rng(X2)) )
=> subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t158_funct_1) ).
fof(f29,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( ( subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& subset(X0,relation_rng(X2)) )
=> subset(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f41,plain,
? [X0,X1,X2] :
( ~ subset(X0,X1)
& subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& subset(X0,relation_rng(X2))
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f42,plain,
? [X0,X1,X2] :
( ~ subset(X0,X1)
& subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& subset(X0,relation_rng(X2))
& relation(X2)
& function(X2) ),
inference(flattening,[],[f41]) ).
fof(f43,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,[],[f5]) ).
fof(f44,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,[],[f43]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f45]) ).
fof(f54,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f55,plain,
( ~ subset(sK0,sK1)
& subset(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1))
& subset(sK0,relation_rng(sK2))
& relation(sK2)
& function(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f42]) ).
fof(f56,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,[],[f44]) ).
fof(f57,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,[],[f56]) ).
fof(f58,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,[],[f57]) ).
fof(f59,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ( ( ~ in(sK3(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X0,sK3(X0,X1,X2)),X1)
| ~ in(sK3(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),relation_dom(X0))
& in(apply(X0,sK3(X0,X1,X2)),X1) )
| in(sK3(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,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f58]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f46]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = X2 )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ? [X7] :
( in(X7,relation_dom(X0))
& apply(X0,X7) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != sK7(X0,X1) )
| ~ in(sK7(X0,X1),X1) )
& ( ( in(sK8(X0,X1),relation_dom(X0))
& sK7(X0,X1) = apply(X0,sK8(X0,X1)) )
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ( in(sK9(X0,X5),relation_dom(X0))
& apply(X0,sK9(X0,X5)) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X4,sK8(X0,X1)),skolemize(X7,sK9(X0,X5))],[f64]) ).
fof(f69,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,[],[f54]) ).
fof(f70,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,[],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK12(X0,X1),X1)
& in(sK12(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f70]) ).
fof(f72,plain,
function(sK2),
inference(cnf_transformation,[],[f55]) ).
fof(f73,plain,
relation(sK2),
inference(cnf_transformation,[],[f55]) ).
fof(f74,plain,
subset(sK0,relation_rng(sK2)),
inference(cnf_transformation,[],[f55]) ).
fof(f75,plain,
subset(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1)),
inference(cnf_transformation,[],[f55]) ).
fof(f76,plain,
~ subset(sK0,sK1),
inference(cnf_transformation,[],[f55]) ).
fof(f77,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,[],[f59]) ).
fof(f79,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f90,plain,
! [X0,X1,X5] :
( apply(X0,sK9(X0,X5)) = X5
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f91,plain,
! [X0,X1,X5] :
( in(sK9(X0,X5),relation_dom(X0))
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f110,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f111,plain,
! [X0,X1] :
( in(sK12(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f112,plain,
! [X0,X1] :
( ~ in(sK12(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f113,plain,
! [X0,X1,X4] :
( ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0))
| in(X4,relation_inverse_image(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f79]) ).
fof(f115,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(apply(X0,X4),X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f77]) ).
fof(f118,plain,
! [X0,X5] :
( in(sK9(X0,X5),relation_dom(X0))
| ~ in(X5,relation_rng(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f91]) ).
fof(f119,plain,
! [X0,X5] :
( ~ in(X5,relation_rng(X0))
| apply(X0,sK9(X0,X5)) = X5
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f90]) ).
fof(f135,plain,
in(sK12(sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f111,f76]) ).
fof(f136,plain,
~ in(sK12(sK0,sK1),sK1),
inference(unit_resulting_resolution,[],[f112,f76]) ).
fof(f138,plain,
in(sK12(sK0,sK1),relation_rng(sK2)),
inference(unit_resulting_resolution,[],[f110,f135,f74]) ).
fof(f148,plain,
in(sK9(sK2,sK12(sK0,sK1)),relation_dom(sK2)),
inference(unit_resulting_resolution,[],[f118,f72,f73,f138]) ).
fof(f152,plain,
sK12(sK0,sK1) = apply(sK2,sK9(sK2,sK12(sK0,sK1))),
inference(unit_resulting_resolution,[],[f119,f72,f73,f138]) ).
fof(f162,plain,
! [X0] :
( ~ in(sK12(sK0,sK1),X0)
| ~ in(sK9(sK2,sK12(sK0,sK1)),relation_dom(sK2))
| in(sK9(sK2,sK12(sK0,sK1)),relation_inverse_image(sK2,X0))
| ~ relation(sK2)
| ~ function(sK2) ),
inference(superposition,[],[f113,f152]) ).
fof(f164,plain,
! [X0] :
( ~ in(sK12(sK0,sK1),X0)
| in(sK9(sK2,sK12(sK0,sK1)),relation_inverse_image(sK2,X0))
| ~ relation(sK2)
| ~ function(sK2) ),
inference(forward_subsumption_resolution,[],[f162,f148]) ).
fof(f165,plain,
! [X0] :
( ~ in(sK12(sK0,sK1),X0)
| in(sK9(sK2,sK12(sK0,sK1)),relation_inverse_image(sK2,X0))
| ~ function(sK2) ),
inference(forward_subsumption_resolution,[],[f164,f73]) ).
fof(f166,plain,
! [X0] :
( in(sK9(sK2,sK12(sK0,sK1)),relation_inverse_image(sK2,X0))
| ~ in(sK12(sK0,sK1),X0) ),
inference(forward_subsumption_resolution,[],[f165,f72]) ).
fof(f172,plain,
in(sK9(sK2,sK12(sK0,sK1)),relation_inverse_image(sK2,sK0)),
inference(unit_resulting_resolution,[],[f166,f135]) ).
fof(f184,plain,
in(sK9(sK2,sK12(sK0,sK1)),relation_inverse_image(sK2,sK1)),
inference(unit_resulting_resolution,[],[f110,f75,f172]) ).
fof(f187,plain,
in(apply(sK2,sK9(sK2,sK12(sK0,sK1))),sK1),
inference(unit_resulting_resolution,[],[f115,f72,f73,f184]) ).
fof(f190,plain,
in(sK12(sK0,sK1),sK1),
inference(forward_demodulation,[],[f187,f152]) ).
fof(f191,plain,
$false,
inference(forward_subsumption_resolution,[],[f190,f136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU077+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 03:35:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.65/1.45 % (3233934)Detected formulas, will run a generic FOF schedule.
% 3.65/1.45 % (3233942)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2782266667:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.65/1.45 % (3233942)Instruction limit reached!
% 3.65/1.45 % (3233942)------------------------------
% 3.65/1.45 % (3233942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.45 % (3233942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.45 % (3233942)CaDiCaL version: 2.1.3
% 3.65/1.45 % (3233942)Termination reason: Instruction limit
% 3.65/1.45 % (3233942)Termination phase: Saturation
% 3.65/1.45 % (3233942)Time elapsed: 0.030 s
% 3.65/1.45 % (3233942)Peak memory usage: 89 MB
% 3.65/1.45 % (3233942)Instructions burned: 113 (million)
% 3.65/1.45 % (3233939)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=724731416:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.65/1.45 % (3233941)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=2146168861:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.65/1.45 % (3233940)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=988121013:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.65/1.45 % (3233945)dis-21_1_sil=8000:lcm=predicate:random_seed=3975842191: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)
% 3.65/1.45 % (3233943)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3069174705:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.65/1.45 % (3233944)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2498970948:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.65/1.45 % (3233943)Instruction limit reached!
% 3.65/1.45 % (3233943)------------------------------
% 3.65/1.45 % (3233943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.45 % (3233943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.45 % (3233943)CaDiCaL version: 2.1.3
% 3.65/1.45 % (3233943)Termination reason: Instruction limit
% 3.65/1.45 % (3233943)Termination phase: Saturation
% 3.65/1.45 % (3233943)Time elapsed: 0.070 s
% 3.65/1.45 % (3233943)Peak memory usage: 88 MB
% 3.65/1.45 % (3233943)Instructions burned: 119 (million)
% 3.65/1.45 % (3233945)Instruction limit reached!
% 3.65/1.45 % (3233945)------------------------------
% 3.65/1.45 % (3233945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.45 % (3233945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.45 % (3233945)CaDiCaL version: 2.1.3
% 3.65/1.45 % (3233945)Termination reason: Instruction limit
% 3.65/1.45 % (3233945)Termination phase: Saturation
% 3.65/1.45 % (3233945)Time elapsed: 0.076 s
% 3.65/1.45 % (3233945)Peak memory usage: 91 MB
% 3.65/1.45 % (3233945)Instructions burned: 131 (million)
% 3.65/1.45 % (3233947)lrs+10_1_sil=8000:sp=occurrence:random_seed=2443299686:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.65/1.45 % (3233944)Instruction limit reached!
% 3.65/1.45 % (3233944)------------------------------
% 3.65/1.45 % (3233944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.45 % (3233944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.45 % (3233944)CaDiCaL version: 2.1.3
% 3.65/1.45 % (3233944)Termination reason: Instruction limit
% 3.65/1.45 % (3233944)Termination phase: Saturation
% 3.65/1.45 % (3233944)Time elapsed: 0.095 s
% 3.65/1.45 % (3233944)Peak memory usage: 89 MB
% 3.65/1.45 % (3233944)Instructions burned: 139 (million)
% 3.65/1.45 % (3233947)Instruction limit reached!
% 3.65/1.45 % (3233947)------------------------------
% 3.65/1.45 % (3233947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.45 % (3233947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.45 % (3233947)CaDiCaL version: 2.1.3
% 3.65/1.45 % (3233947)Termination reason: Instruction limit
% 3.65/1.45 % (3233947)Termination phase: Saturation
% 3.65/1.45 % (3233947)Time elapsed: 0.099 s
% 3.65/1.45 % (3233947)Peak memory usage: 91 MB
% 3.65/1.45 % (3233947)Instructions burned: 288 (million)
% 3.65/1.45 % (3233954)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1278681040:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.65/1.45 % (3233954)First to succeed.
% 3.65/1.45 % (3233954)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3233934"
% 3.65/1.45 % (3233955)lrs+1011_1_sil=32000:sp=occurrence:random_seed=498976290:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.65/1.45 % (3233957)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=1281849755:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.65/1.45 % (3233958)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2833838123:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.65/1.45 % (3233958)Instruction limit reached!
% 3.65/1.45 % (3233958)------------------------------
% 3.65/1.45 % (3233958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.45 % (3233958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.45 % (3233958)CaDiCaL version: 2.1.3
% 3.65/1.45 % (3233958)Termination reason: Instruction limit
% 3.65/1.45 % (3233958)Termination phase: Saturation
% 3.65/1.45 % (3233958)Time elapsed: 0.084 s
% 3.65/1.45 % (3233958)Peak memory usage: 88 MB
% 3.65/1.45 % (3233958)Instructions burned: 295 (million)
% 3.65/1.45 % (3233957)Instruction limit reached!
% 3.65/1.45 % (3233957)------------------------------
% 3.65/1.45 % (3233957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.45 % (3233957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.45 % (3233957)CaDiCaL version: 2.1.3
% 3.65/1.45 % (3233957)Termination reason: Instruction limit
% 3.65/1.45 % (3233957)Termination phase: Saturation
% 3.65/1.45 % (3233957)Time elapsed: 0.131 s
% 3.65/1.45 % (3233957)Peak memory usage: 91 MB
% 3.65/1.45 % (3233957)Instructions burned: 249 (million)
% 3.65/1.45 % (3233955)Instruction limit reached!
% 3.65/1.45 % (3233955)------------------------------
% 3.65/1.45 % (3233955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.45 % (3233955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.45 % (3233955)CaDiCaL version: 2.1.3
% 3.65/1.45 % (3233955)Termination reason: Instruction limit
% 3.65/1.45 % (3233955)Termination phase: Saturation
% 3.65/1.45 % (3233955)Time elapsed: 0.224 s
% 3.65/1.45 % (3233955)Peak memory usage: 92 MB
% 3.65/1.45 % (3233955)Instructions burned: 325 (million)
% 3.65/1.45 % (3233963)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2364690766:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 3.65/1.45 % (3233954)Refutation found. Thanks to Tanya!
% 3.65/1.45 % SZS status Theorem for theBenchmark
% 3.65/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 4.90/1.65 % (3233954)------------------------------
% 4.90/1.65 % (3233954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.65 % (3233954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.65 % (3233954)CaDiCaL version: 2.1.3
% 4.90/1.65 % (3233954)Termination reason: Refutation
% 4.90/1.65 % (3233954)Time elapsed: 0.006 s
% 4.90/1.65 % (3233954)Peak memory usage: 89 MB
% 4.90/1.65 % (3233954)Instructions burned: 7 (million)
% 4.90/1.65 % (3233954)------------------------------
% 4.90/1.65 % (3233954)------------------------------
% 4.90/1.65 % (3233934)Success in time 0.605 s
% 4.90/1.65 % Vampire exiting
%------------------------------------------------------------------------------