%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN085+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:26:47 PM UTC 2026
% Result : Theorem 8.96s 2.22s
% Output : Refutation 8.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 16 unt; 0 def)
% Number of atoms : 158 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 185 ( 83 ~; 68 |; 34 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 131 ( 119 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( id(X1,X0)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,axiom,
! [X0] :
? [X1] :
! [X2] :
( ( id(X2,X1)
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& ~ id(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f3,axiom,
! [X0,X1] :
? [X2] :
! [X3] :
( ( id(X3,X2)
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& ~ id(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] : id(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f6,axiom,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ~ id(X0,X1)
| id(X0,X2)
| ~ id(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ~ id(X0,X2)
| ~ id(X1,X3)
| ( ~ r2(X0,X1)
& ~ r2(X2,X3) )
| ( r2(X0,X1)
& r2(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ~ id(X0,X3)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ( ~ r3(X0,X1,X2)
& ~ r3(X3,X4,X5) )
| ( r3(X0,X1,X2)
& r3(X3,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f12,axiom,
! [X0,X1] :
? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r2(X5,X2)
& r3(X0,X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
fof(f18,axiom,
! [X0,X1] :
( ! [X2] :
( ~ id(X2,X1)
| ~ r1(X2) )
| ~ r2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
fof(f19,conjecture,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r3(X2,X1,X0) )
| ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X1) ) )
| ! [X4] :
( ~ id(X0,X4)
| ~ r1(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r3(X2,X1,X0) )
| ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X1) ) )
| ! [X4] :
( ~ id(X0,X4)
| ~ r1(X4) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r3(X2,X1,X0) )
& ? [X3] :
( r1(X3)
& r2(X3,X1) ) )
& ? [X4] :
( id(X0,X4)
& r1(X4) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
( r1(sK2)
& r3(sK2,sK1,sK0)
& r1(sK3)
& r2(sK3,sK1)
& id(sK0,sK4)
& r1(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f21]) ).
fof(f26,plain,
! [X1] :
( ( id(X1,sK13)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,sK13) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X0,sK13)],[f1]) ).
fof(f28,plain,
! [X0,X1] :
( id(sK19(X0,X1),sK18(X0,X1))
& r2(X1,sK20(X0,X1))
& r3(X0,sK20(X0,X1),sK19(X0,X1))
& r2(sK21(X0,X1),sK18(X0,X1))
& r3(X0,X1,sK21(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21]),skolemize(X2,sK18(X0,X1)),skolemize(X3,sK19(X0,X1)),skolemize(X4,sK20(X0,X1)),skolemize(X5,sK21(X0,X1))],[f12]) ).
fof(f29,plain,
! [X0,X2] :
( ( id(X2,sK22(X0))
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& ~ id(X2,sK22(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X1,sK22(X0))],[f2]) ).
fof(f30,plain,
! [X0,X1,X3] :
( ( id(X3,sK23(X0,X1))
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& ~ id(X3,sK23(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X2,sK23(X0,X1))],[f3]) ).
fof(f32,plain,
r1(sK4),
inference(cnf_transformation,[],[f22]) ).
fof(f33,plain,
id(sK0,sK4),
inference(cnf_transformation,[],[f22]) ).
fof(f34,plain,
r2(sK3,sK1),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
r3(sK2,sK1,sK0),
inference(cnf_transformation,[],[f22]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f39,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f40,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ r1(X2)
| ~ id(X2,X1)
| ~ r2(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f60,plain,
! [X1] :
( ~ r1(X1)
| id(X1,sK13) ),
inference(cnf_transformation,[],[f26]) ).
fof(f68,plain,
! [X0,X1] : r2(sK21(X0,X1),sK18(X0,X1)),
inference(cnf_transformation,[],[f28]) ).
fof(f69,plain,
! [X0,X1] : r3(X0,sK20(X0,X1),sK19(X0,X1)),
inference(cnf_transformation,[],[f28]) ).
fof(f70,plain,
! [X0,X1] : r2(X1,sK20(X0,X1)),
inference(cnf_transformation,[],[f28]) ).
fof(f71,plain,
! [X0,X1] : id(sK19(X0,X1),sK18(X0,X1)),
inference(cnf_transformation,[],[f28]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ r2(X2,X3)
| ~ id(X1,X3)
| ~ id(X0,X2)
| r2(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f79,plain,
! [X2,X0] :
( id(X2,sK22(X0))
| ~ r2(X0,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f82,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r3(X0,X1,X2)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ~ id(X0,X3)
| r3(X3,X4,X5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f87,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| id(X3,sK23(X0,X1)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f102,plain,
! [X0,X1] :
( ~ id(sK4,X0)
| ~ r2(X1,X0) ),
inference(resolution,[],[f32,f41]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ id(sK2,X2)
| ~ id(sK0,X1)
| ~ id(sK1,X0)
| r3(X2,X0,X1) ),
inference(resolution,[],[f82,f36]) ).
fof(f141,plain,
! [X0,X1] :
( ~ id(sK1,X1)
| ~ id(sK0,X0)
| r3(sK2,X1,X0) ),
inference(resolution,[],[f138,f40]) ).
fof(f162,plain,
id(sK4,sK13),
inference(resolution,[],[f60,f32]) ).
fof(f166,plain,
! [X0] : ~ r2(X0,sK13),
inference(resolution,[],[f162,f102]) ).
fof(f168,plain,
! [X0] :
( ~ id(X0,sK4)
| id(X0,sK13) ),
inference(resolution,[],[f162,f38]) ).
fof(f184,plain,
! [X2,X3,X0,X1,X4] :
( ~ id(sK20(X0,X1),X2)
| ~ id(sK19(X0,X1),X3)
| ~ id(X0,X4)
| r3(X4,X2,X3) ),
inference(resolution,[],[f69,f82]) ).
fof(f187,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(X4,sK20(X0,X1))
| ~ id(X0,X3)
| r3(X3,sK22(X4),X2)
| ~ id(sK19(X0,X1),X2) ),
inference(resolution,[],[f184,f79]) ).
fof(f210,plain,
id(sK0,sK13),
inference(resolution,[],[f168,f33]) ).
fof(f219,plain,
! [X2,X3,X0,X1] :
( ~ id(sK19(X0,X2),X3)
| r3(X1,sK22(X2),X3)
| ~ id(X0,X1) ),
inference(resolution,[],[f70,f187]) ).
fof(f227,plain,
! [X0,X1] :
( ~ r2(X1,sK1)
| r3(sK2,sK22(X1),X0)
| ~ id(sK0,X0) ),
inference(resolution,[],[f141,f79]) ).
fof(f338,plain,
! [X0] :
( r3(sK2,sK22(sK3),X0)
| ~ id(sK0,X0) ),
inference(resolution,[],[f227,f34]) ).
fof(f342,plain,
! [X0] :
( ~ id(sK0,X0)
| id(X0,sK23(sK2,sK22(sK3))) ),
inference(resolution,[],[f338,f87]) ).
fof(f347,plain,
id(sK13,sK23(sK2,sK22(sK3))),
inference(resolution,[],[f342,f210]) ).
fof(f649,plain,
! [X2,X0,X1] :
( r3(X0,sK22(X1),sK18(X2,X1))
| ~ id(X2,X0) ),
inference(resolution,[],[f219,f71]) ).
fof(f654,plain,
! [X2,X0,X1] :
( id(sK18(X0,X2),sK23(X1,sK22(X2)))
| ~ id(X0,X1) ),
inference(resolution,[],[f649,f87]) ).
fof(f656,plain,
! [X2,X0,X1] :
( id(sK23(X1,sK22(X2)),sK18(X0,X2))
| ~ id(X0,X1) ),
inference(resolution,[],[f654,f39]) ).
fof(f671,plain,
! [X2,X3,X0,X1] :
( ~ id(X2,sK23(X1,sK22(X3)))
| id(X2,sK18(X0,X3))
| ~ id(X0,X1) ),
inference(resolution,[],[f656,f38]) ).
fof(f678,plain,
! [X0] :
( ~ id(X0,sK2)
| id(sK13,sK18(X0,sK3)) ),
inference(resolution,[],[f671,f347]) ).
fof(f723,plain,
id(sK13,sK18(sK2,sK3)),
inference(resolution,[],[f678,f40]) ).
fof(f726,plain,
$false,
inference(unit_resulting_resolution,[],[f73,f166,f40,f68,f723]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN085+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 21:55:40 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.42 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
% 6.14/2.04 % (1814608)Detected formulas, will run a generic FOF schedule.
% 6.14/2.04 % (1814616)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1169543785:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.14/2.04 % (1814618)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=340716460:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.14/2.04 % (1814619)dis-21_1_sil=8000:lcm=predicate:random_seed=1772663045: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)
% 6.14/2.04 % (1814613)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=2790636075:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.14/2.04 % (1814614)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=3801950246:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.14/2.04 % (1814615)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=1977362375:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.14/2.04 % (1814617)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2404893953:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.14/2.04 % (1814616)Instruction limit reached!
% 6.14/2.04 % (1814616)------------------------------
% 6.14/2.04 % (1814616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/2.04 % (1814616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/2.04 % (1814616)CaDiCaL version: 2.1.3
% 6.14/2.04 % (1814616)Termination reason: Instruction limit
% 6.14/2.04 % (1814616)Termination phase: Saturation
% 6.14/2.04 % (1814616)Time elapsed: 0.040 s
% 6.14/2.04 % (1814616)Peak memory usage: 89 MB
% 6.14/2.04 % (1814616)Instructions burned: 109 (million)
% 6.14/2.04 % (1814617)Instruction limit reached!
% 6.14/2.04 % (1814617)------------------------------
% 6.14/2.04 % (1814617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/2.04 % (1814617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/2.04 % (1814617)CaDiCaL version: 2.1.3
% 6.14/2.04 % (1814617)Termination reason: Instruction limit
% 6.14/2.04 % (1814617)Termination phase: Saturation
% 6.14/2.04 % (1814617)Time elapsed: 0.074 s
% 6.14/2.04 % (1814617)Peak memory usage: 88 MB
% 6.14/2.04 % (1814617)Instructions burned: 120 (million)
% 6.14/2.04 % (1814619)Instruction limit reached!
% 6.14/2.04 % (1814619)------------------------------
% 6.14/2.04 % (1814619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/2.04 % (1814619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/2.04 % (1814619)CaDiCaL version: 2.1.3
% 6.14/2.04 % (1814619)Termination reason: Instruction limit
% 6.14/2.04 % (1814619)Termination phase: Saturation
% 6.14/2.04 % (1814619)Time elapsed: 0.077 s
% 6.14/2.04 % (1814619)Peak memory usage: 89 MB
% 6.14/2.04 % (1814619)Instructions burned: 129 (million)
% 6.14/2.04 % (1814618)Instruction limit reached!
% 6.14/2.04 % (1814618)------------------------------
% 6.14/2.04 % (1814618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/2.04 % (1814618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/2.04 % (1814618)CaDiCaL version: 2.1.3
% 4.60/2.04 % (1814618)Termination reason: Instruction limit
% 4.60/2.04 % (1814618)Termination phase: Saturation
% 4.60/2.04 % (1814618)Time elapsed: 0.088 s
% 4.60/2.04 % (1814618)Peak memory usage: 89 MB
% 4.60/2.04 % (1814618)Instructions burned: 140 (million)
% 4.60/2.04 % (1814627)lrs+10_1_sil=8000:sp=occurrence:random_seed=2896210069:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.60/2.04 % (1814628)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1446737670:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.60/2.04 % (1814629)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1764814941:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.60/2.04 % (1814627)Instruction limit reached!
% 4.60/2.04 % (1814627)------------------------------
% 4.60/2.04 % (1814627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/2.04 % (1814627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/2.04 % (1814627)CaDiCaL version: 2.1.3
% 4.60/2.04 % (1814627)Termination reason: Instruction limit
% 4.60/2.04 % (1814627)Termination phase: Saturation
% 4.60/2.04 % (1814627)Time elapsed: 0.100 s
% 4.60/2.04 % (1814627)Peak memory usage: 91 MB
% 4.60/2.04 % (1814627)Instructions burned: 287 (million)
% 4.60/2.04 % (1814630)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=1845202014:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.60/2.04 % (1814628)Instruction limit reached!
% 4.60/2.04 % (1814628)------------------------------
% 4.60/2.04 % (1814628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/2.04 % (1814628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/2.04 % (1814628)CaDiCaL version: 2.1.3
% 4.60/2.04 % (1814628)Termination reason: Instruction limit
% 4.60/2.04 % (1814628)Termination phase: Saturation
% 4.60/2.04 % (1814628)Time elapsed: 0.082 s
% 4.60/2.04 % (1814628)Peak memory usage: 90 MB
% 4.60/2.04 % (1814628)Instructions burned: 158 (million)
% 4.60/2.04 % (1814635)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2499624151:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.60/2.04 % (1814630)Instruction limit reached!
% 4.60/2.04 % (1814630)------------------------------
% 4.60/2.04 % (1814630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/2.04 % (1814630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/2.04 % (1814630)CaDiCaL version: 2.1.3
% 4.60/2.04 % (1814630)Termination reason: Instruction limit
% 4.60/2.04 % (1814630)Termination phase: Saturation
% 4.60/2.04 % (1814630)Time elapsed: 0.130 s
% 4.60/2.04 % (1814630)Peak memory usage: 92 MB
% 4.60/2.04 % (1814630)Instructions burned: 248 (million)
% 4.60/2.04 % (1814635)Instruction limit reached!
% 4.60/2.04 % (1814635)------------------------------
% 4.60/2.04 % (1814635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/2.04 % (1814635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/2.04 % (1814635)CaDiCaL version: 2.1.3
% 4.60/2.04 % (1814635)Termination reason: Instruction limit
% 4.60/2.04 % (1814635)Termination phase: Saturation
% 4.60/2.04 % (1814635)Time elapsed: 0.086 s
% 4.60/2.04 % (1814635)Peak memory usage: 88 MB
% 4.60/2.04 % (1814635)Instructions burned: 296 (million)
% 4.60/2.04 % (1814629)Instruction limit reached!
% 4.60/2.04 % (1814629)------------------------------
% 4.60/2.04 % (1814629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/2.04 % (1814629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/2.04 % (1814629)CaDiCaL version: 2.1.3
% 4.60/2.04 % (1814629)Termination reason: Instruction limit
% 4.60/2.04 % (1814629)Termination phase: Saturation
% 4.60/2.04 % (1814629)Time elapsed: 0.199 s
% 4.60/2.04 % (1814629)Peak memory usage: 90 MB
% 4.60/2.04 % (1814629)Instructions burned: 326 (million)
% 4.60/2.04 % (1814636)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3009511017:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.60/2.04 % (1814638)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2535136816:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.60/2.04 % (1814639)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=190941547:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.60/2.04 % (1814639)Instruction limit reached!
% 4.60/2.04 % (1814639)------------------------------
% 4.60/2.04 % (1814639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/2.04 % (1814639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/2.04 % (1814639)CaDiCaL version: 2.1.3
% 4.60/2.04 % (1814639)Termination reason: Instruction limit
% 4.60/2.04 % (1814639)Termination phase: Saturation
% 4.60/2.04 % (1814639)Time elapsed: 0.036 s
% 4.60/2.04 % (1814639)Peak memory usage: 89 MB
% 4.60/2.04 % (1814639)Instructions burned: 130 (million)
% 4.60/2.04 % (1814638)Instruction limit reached!
% 4.60/2.04 % (1814638)------------------------------
% 4.60/2.04 % (1814638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/2.04 % (1814638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/2.04 % (1814638)CaDiCaL version: 2.1.3
% 4.60/2.04 % (1814638)Termination reason: Instruction limit
% 4.60/2.04 % (1814638)Termination phase: Saturation
% 8.96/2.22 % (1814638)Time elapsed: 0.071 s
% 8.96/2.22 % (1814638)Peak memory usage: 89 MB
% 8.96/2.22 % (1814638)Instructions burned: 114 (million)
% 8.96/2.22 % (1814640)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=765557856:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 8.96/2.22 % (1814640)Instruction limit reached!
% 8.96/2.22 % (1814640)------------------------------
% 8.96/2.22 % (1814640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.22 % (1814640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.22 % (1814640)CaDiCaL version: 2.1.3
% 8.96/2.22 % (1814640)Termination reason: Instruction limit
% 8.96/2.22 % (1814640)Termination phase: Saturation
% 8.96/2.22 % (1814640)Time elapsed: 0.063 s
% 8.96/2.22 % (1814640)Peak memory usage: 89 MB
% 8.96/2.22 % (1814640)Instructions burned: 115 (million)
% 8.96/2.22 % (1814644)lrs+10_1_sil=8000:sp=occurrence:random_seed=3791641353:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 8.96/2.22 % (1814646)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1109981417:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 8.96/2.22 % (1814647)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=292354207:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 8.96/2.22 % (1814614)First to succeed.
% 8.96/2.22 % (1814614)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1814608"
% 8.96/2.22 % (1814646)Instruction limit reached!
% 8.96/2.22 % (1814646)------------------------------
% 8.96/2.22 % (1814646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.22 % (1814646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.22 % (1814646)CaDiCaL version: 2.1.3
% 8.96/2.22 % (1814646)Termination reason: Instruction limit
% 8.96/2.22 % (1814646)Termination phase: Saturation
% 8.96/2.22 % (1814646)Time elapsed: 0.245 s
% 8.96/2.22 % (1814646)Peak memory usage: 90 MB
% 8.96/2.22 % (1814646)Instructions burned: 437 (million)
% 8.96/2.22 % (1814651)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1772447440:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 8.96/2.22 % (1814614)Refutation found. Thanks to Tanya!
% 8.96/2.22 % SZS status Theorem for theBenchmark
% 8.96/2.22 % SZS output start Proof for theBenchmark
% See solution above
% 8.96/2.22 % (1814614)------------------------------
% 8.96/2.22 % (1814614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.22 % (1814614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.22 % (1814614)CaDiCaL version: 2.1.3
% 8.96/2.22 % (1814614)Termination reason: Refutation
% 8.96/2.22 % (1814614)Time elapsed: 0.786 s
% 8.96/2.22 % (1814614)Peak memory usage: 130 MB
% 8.96/2.22 % (1814614)Instructions burned: 1159 (million)
% 8.96/2.22 % (1814614)------------------------------
% 8.96/2.22 % (1814614)------------------------------
% 8.96/2.22 % (1814608)Success in time 1.179 s
% 8.96/2.22 % Vampire exiting
%------------------------------------------------------------------------------