%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN055+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:26:39 PM UTC 2026
% Result : Theorem 12.80s 2.92s
% Output : Refutation 12.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 14 unt; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 219 ( 97 ~; 80 |; 42 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 0 con; 1-2 aty)
% Number of variables : 154 ( 128 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
? [X2] :
! [X3] :
( ( id(X3,X2)
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& ~ id(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] : id(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f8,axiom,
! [X0,X1] :
( ~ id(X0,X1)
| ( ~ r1(X0)
& ~ r1(X1) )
| ( r1(X0)
& r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
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/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
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/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f15,axiom,
! [X0] :
? [X1] :
( id(X1,X0)
& ? [X2] :
( r1(X2)
& r3(X0,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f16,axiom,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,X1) )
& ? [X3] :
( id(X1,X3)
& r1(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f19,conjecture,
? [X0] :
( ? [X1] :
( ? [X2] :
( r2(X2,X1)
& ? [X3] :
( r1(X3)
& r2(X3,X2) ) )
& ? [X4] :
( r1(X4)
& r3(X4,X1,X0) ) )
& ? [X5] :
( id(X0,X5)
& ? [X6] :
( r2(X6,X5)
& ? [X7] :
( r1(X7)
& r2(X7,X6) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zeroplustwoidtwo) ).
fof(f20,negated_conjecture,
~ ? [X0] :
( ? [X1] :
( ? [X2] :
( r2(X2,X1)
& ? [X3] :
( r1(X3)
& r2(X3,X2) ) )
& ? [X4] :
( r1(X4)
& r3(X4,X1,X0) ) )
& ? [X5] :
( id(X0,X5)
& ? [X6] :
( r2(X6,X5)
& ? [X7] :
( r1(X7)
& r2(X7,X6) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r2(X2,X1)
| ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X2) ) )
| ! [X4] :
( ~ r1(X4)
| ~ r3(X4,X1,X0) ) )
| ! [X5] :
( ~ id(X0,X5)
| ! [X6] :
( ~ r2(X6,X5)
| ! [X7] :
( ~ r1(X7)
| ~ r2(X7,X6) ) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f24,plain,
! [X0,X1,X3] :
( ( id(X3,sK2(X0,X1))
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& ~ id(X3,sK2(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f3]) ).
fof(f26,plain,
! [X0,X1] :
( id(sK5(X0,X1),sK4(X0,X1))
& r2(X1,sK6(X0,X1))
& r3(X0,sK6(X0,X1),sK5(X0,X1))
& r2(sK7(X0,X1),sK4(X0,X1))
& r3(X0,X1,sK7(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1)),skolemize(X5,sK7(X0,X1))],[f12]) ).
fof(f28,plain,
! [X0] :
( id(sK12(X0),X0)
& r1(sK13(X0))
& r3(X0,sK13(X0),sK12(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f15]) ).
fof(f29,plain,
! [X0] :
( r1(sK15(X0))
& r4(X0,sK15(X0),sK14(X0))
& id(sK14(X0),sK16(X0))
& r1(sK16(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X1,sK14(X0)),skolemize(X2,sK15(X0)),skolemize(X3,sK16(X0))],[f16]) ).
fof(f42,plain,
! [X3,X0,X1] :
( id(X3,sK2(X0,X1))
| ~ r3(X0,X1,X3) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f51,plain,
! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X1)
| r1(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ r2(X2,X3)
| ~ id(X1,X3)
| ~ id(X0,X2)
| r2(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ r2(X0,X1)
| ~ id(X1,X3)
| ~ id(X0,X2)
| r2(X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f66,plain,
! [X0,X1] : r3(X0,X1,sK7(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f67,plain,
! [X0,X1] : r2(sK7(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f68,plain,
! [X0,X1] : r3(X0,sK6(X0,X1),sK5(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f69,plain,
! [X0,X1] : r2(X1,sK6(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f70,plain,
! [X0,X1] : id(sK5(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f77,plain,
! [X0] : r3(X0,sK13(X0),sK12(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f78,plain,
! [X0] : r1(sK13(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f79,plain,
! [X0] : id(sK12(X0),X0),
inference(cnf_transformation,[],[f28]) ).
fof(f80,plain,
! [X0] : r1(sK16(X0)),
inference(cnf_transformation,[],[f29]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r3(X4,X1,X0)
| ~ r1(X3)
| ~ r2(X3,X2)
| ~ r1(X4)
| ~ r2(X2,X1)
| ~ id(X0,X5)
| ~ r2(X6,X5)
| ~ r1(X7)
| ~ r2(X7,X6) ),
inference(cnf_transformation,[],[f21]) ).
fof(f99,plain,
! [X0] :
( ~ r1(X0)
| r1(sK12(X0)) ),
inference(resolution,[],[f51,f79]) ).
fof(f149,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2(X1,sK6(X2,X3))
| ~ r2(X0,X1)
| ~ r1(X2)
| ~ r1(X0)
| ~ id(sK5(X2,X3),X4)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5) ),
inference(resolution,[],[f68,f89]) ).
fof(f150,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ id(sK5(X2,X1),X3)
| ~ r1(X2)
| ~ r1(X0)
| ~ r2(X0,X1)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4) ),
inference(resolution,[],[f149,f69]) ).
fof(f151,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(X3,sK5(X0,X2))
| ~ r1(X1)
| ~ r2(X1,X2)
| ~ r1(X0)
| ~ r1(X4)
| ~ r2(X4,X3) ),
inference(resolution,[],[f150,f47]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( ~ id(sK7(X0,X1),X3)
| ~ id(sK4(X0,X1),X2)
| r2(X3,X2) ),
inference(resolution,[],[f56,f67]) ).
fof(f183,plain,
! [X2,X3,X0,X1,X4] :
( ~ r3(X0,X1,sK7(X2,X3))
| ~ id(sK4(X2,X3),X4)
| r2(sK2(X0,X1),X4) ),
inference(resolution,[],[f42,f174]) ).
fof(f294,plain,
! [X2,X0,X1] :
( ~ id(sK4(X0,X1),X2)
| r2(sK2(X0,X1),X2) ),
inference(resolution,[],[f183,f66]) ).
fof(f296,plain,
! [X0,X1] : r2(sK2(X0,X1),sK4(X0,X1)),
inference(resolution,[],[f294,f47]) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( ~ id(X3,sK2(X1,X2))
| ~ id(X0,sK4(X1,X2))
| r2(X3,X0) ),
inference(resolution,[],[f296,f55]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ id(X0,sK4(X1,X2))
| r2(X3,X0)
| ~ r3(X1,X2,X3) ),
inference(resolution,[],[f304,f42]) ).
fof(f348,plain,
! [X2,X0,X1] :
( r2(X0,sK5(X1,X2))
| ~ r3(X1,X2,X0) ),
inference(resolution,[],[f324,f70]) ).
fof(f354,plain,
! [X2,X3,X0,X1,X4] :
( ~ r3(X0,X1,X2)
| ~ r1(X3)
| ~ r2(X3,X1)
| ~ r1(X0)
| ~ r1(X4)
| ~ r2(X4,X2) ),
inference(resolution,[],[f348,f151]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( ~ r2(X3,sK5(X1,X2))
| ~ r2(X0,sK6(X1,X2))
| ~ r1(X1)
| ~ r1(X3)
| ~ r1(X0) ),
inference(resolution,[],[f354,f68]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( ~ r2(X0,sK6(X1,X2))
| ~ r1(X1)
| ~ r1(X3)
| ~ r1(X0)
| ~ r3(X1,X2,X3) ),
inference(resolution,[],[f363,f348]) ).
fof(f375,plain,
! [X2,X0,X1] :
( ~ r3(X0,X2,X1)
| ~ r1(X1)
| ~ r1(X2)
| ~ r1(X0) ),
inference(resolution,[],[f374,f69]) ).
fof(f381,plain,
! [X0] :
( ~ r1(sK12(X0))
| ~ r1(sK13(X0))
| ~ r1(X0) ),
inference(resolution,[],[f375,f77]) ).
fof(f383,plain,
! [X0] :
( ~ r1(sK13(X0))
| ~ r1(X0) ),
inference(forward_subsumption_resolution,[],[f381,f99]) ).
fof(f386,plain,
! [X0] : ~ r1(X0),
inference(forward_subsumption_resolution,[],[f383,f78]) ).
fof(f393,plain,
$false,
inference(resolution,[],[f386,f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUN055+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n013.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 27 21:51:22 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.78/2.71 % (590655)Detected formulas, will run a generic FOF schedule.
% 6.78/2.71 % (590668)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=1197382319:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.78/2.71 % (590671)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3202961470:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.78/2.71 % (590667)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=3037474416:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.78/2.71 % (590666)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=401368925:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.78/2.71 % (590669)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2749061032:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.78/2.71 % (590670)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=749209846:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.78/2.71 % (590672)dis-21_1_sil=8000:lcm=predicate:random_seed=2038873017: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)
% 6.78/2.71 % (590671)Instruction limit reached!
% 6.78/2.71 % (590671)------------------------------
% 6.78/2.71 % (590671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.71 % (590671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.71 % (590671)CaDiCaL version: 2.1.3
% 6.78/2.71 % (590671)Termination reason: Instruction limit
% 6.78/2.71 % (590671)Termination phase: Saturation
% 6.78/2.71 % (590671)Time elapsed: 0.111 s
% 6.78/2.71 % (590671)Peak memory usage: 89 MB
% 6.78/2.71 % (590671)Instructions burned: 140 (million)
% 6.78/2.71 % (590669)Instruction limit reached!
% 6.78/2.71 % (590669)------------------------------
% 6.78/2.71 % (590669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.71 % (590669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.71 % (590669)CaDiCaL version: 2.1.3
% 6.78/2.71 % (590669)Termination reason: Instruction limit
% 6.78/2.71 % (590669)Termination phase: Saturation
% 6.78/2.71 % (590669)Time elapsed: 0.092 s
% 6.78/2.71 % (590669)Peak memory usage: 88 MB
% 6.78/2.71 % (590669)Instructions burned: 109 (million)
% 6.78/2.71 % (590670)Instruction limit reached!
% 6.78/2.71 % (590670)------------------------------
% 6.78/2.71 % (590670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.71 % (590670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.71 % (590670)CaDiCaL version: 2.1.3
% 6.78/2.71 % (590670)Termination reason: Instruction limit
% 6.78/2.71 % (590670)Termination phase: Saturation
% 6.78/2.71 % (590670)Time elapsed: 0.108 s
% 6.78/2.71 % (590670)Peak memory usage: 88 MB
% 6.78/2.71 % (590670)Instructions burned: 119 (million)
% 6.78/2.71 % (590672)Instruction limit reached!
% 6.78/2.71 % (590672)------------------------------
% 6.78/2.71 % (590672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.71 % (590672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.71 % (590672)CaDiCaL version: 2.1.3
% 6.78/2.71 % (590672)Termination reason: Instruction limit
% 6.78/2.71 % (590672)Termination phase: Saturation
% 6.78/2.71 % (590672)Time elapsed: 0.112 s
% 6.78/2.71 % (590672)Peak memory usage: 88 MB
% 6.78/2.71 % (590672)Instructions burned: 130 (million)
% 6.78/2.71 % (590680)lrs+10_1_sil=8000:sp=occurrence:random_seed=1280018546:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.78/2.71 % (590683)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3661425819:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.78/2.71 % (590682)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3702100394:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 6.78/2.71 % (590685)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=4141333422:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.78/2.71 % (590682)Instruction limit reached!
% 6.78/2.71 % (590682)------------------------------
% 6.78/2.71 % (590682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.71 % (590682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.71 % (590682)CaDiCaL version: 2.1.3
% 6.78/2.71 % (590682)Termination reason: Instruction limit
% 6.78/2.71 % (590682)Termination phase: Saturation
% 6.78/2.71 % (590682)Time elapsed: 0.135 s
% 6.78/2.71 % (590682)Peak memory usage: 90 MB
% 6.78/2.71 % (590682)Instructions burned: 158 (million)
% 6.78/2.71 % (590680)Instruction limit reached!
% 6.78/2.71 % (590680)------------------------------
% 6.78/2.71 % (590680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.71 % (590680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.71 % (590680)CaDiCaL version: 2.1.3
% 6.78/2.71 % (590680)Termination reason: Instruction limit
% 6.78/2.71 % (590680)Termination phase: Saturation
% 6.78/2.71 % (590680)Time elapsed: 0.242 s
% 6.78/2.71 % (590680)Peak memory usage: 91 MB
% 6.78/2.71 % (590680)Instructions burned: 286 (million)
% 6.78/2.71 % (590685)Instruction limit reached!
% 6.78/2.71 % (590685)------------------------------
% 6.78/2.71 % (590685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.71 % (590685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.71 % (590685)CaDiCaL version: 2.1.3
% 6.78/2.71 % (590685)Termination reason: Instruction limit
% 6.78/2.71 % (590685)Termination phase: Saturation
% 6.78/2.71 % (590685)Time elapsed: 0.195 s
% 6.78/2.71 % (590685)Peak memory usage: 92 MB
% 6.78/2.71 % (590685)Instructions burned: 248 (million)
% 6.78/2.71 % (590683)Instruction limit reached!
% 6.78/2.71 % (590683)------------------------------
% 6.78/2.71 % (590683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.71 % (590683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.71 % (590683)CaDiCaL version: 2.1.3
% 6.78/2.71 % (590683)Termination reason: Instruction limit
% 6.78/2.71 % (590683)Termination phase: Saturation
% 6.78/2.71 % (590683)Time elapsed: 0.330 s
% 6.78/2.71 % (590683)Peak memory usage: 91 MB
% 6.78/2.71 % (590683)Instructions burned: 325 (million)
% 6.78/2.71 % (590691)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3176846800:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.78/2.71 % (590690)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2316957998:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.78/2.71 % (590692)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2395650364:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 6.78/2.71 % (590693)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1059822090:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 6.78/2.71 % (590692)Instruction limit reached!
% 6.78/2.71 % (590692)------------------------------
% 6.78/2.71 % (590692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.71 % (590692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.71 % (590692)CaDiCaL version: 2.1.3
% 6.78/2.71 % (590692)Termination reason: Instruction limit
% 6.78/2.71 % (590692)Termination phase: Saturation
% 6.78/2.71 % (590692)Time elapsed: 0.097 s
% 6.78/2.71 % (590692)Peak memory usage: 88 MB
% 6.78/2.71 % (590692)Instructions burned: 114 (million)
% 6.78/2.71 % (590690)Instruction limit reached!
% 6.78/2.71 % (590690)------------------------------
% 6.78/2.71 % (590690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.71 % (590690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.71 % (590690)CaDiCaL version: 2.1.3
% 6.78/2.71 % (590690)Termination reason: Instruction limit
% 6.78/2.71 % (590690)Termination phase: Saturation
% 6.78/2.71 % (590690)Time elapsed: 0.256 s
% 6.78/2.71 % (590690)Peak memory usage: 88 MB
% 6.78/2.71 % (590690)Instructions burned: 294 (million)
% 6.78/2.71 % (590693)Instruction limit reached!
% 6.78/2.71 % (590693)------------------------------
% 6.78/2.71 % (590693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.71 % (590693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.71 % (590693)CaDiCaL version: 2.1.3
% 6.78/2.71 % (590693)Termination reason: Instruction limit
% 6.78/2.71 % (590693)Termination phase: Saturation
% 6.78/2.71 % (590693)Time elapsed: 0.117 s
% 6.78/2.71 % (590693)Peak memory usage: 89 MB
% 6.78/2.71 % (590693)Instructions burned: 128 (million)
% 12.80/2.92 % (590698)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=866502851:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 12.80/2.92 % (590666)First to succeed.
% 12.80/2.92 % (590666)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-590655"
% 12.80/2.92 % (590699)lrs+10_1_sil=8000:sp=occurrence:random_seed=427111396:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 12.80/2.92 % (590698)Instruction limit reached!
% 12.80/2.92 % (590698)------------------------------
% 12.80/2.92 % (590698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.92 % (590698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.92 % (590698)CaDiCaL version: 2.1.3
% 12.80/2.92 % (590698)Termination reason: Instruction limit
% 12.80/2.92 % (590698)Termination phase: Saturation
% 12.80/2.92 % (590698)Time elapsed: 0.108 s
% 12.80/2.92 % (590698)Peak memory usage: 89 MB
% 12.80/2.92 % (590698)Instructions burned: 115 (million)
% 12.80/2.92 % (590700)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2892355150:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 12.80/2.92 % (590691)Also succeeded, but the first one will report.
% 12.80/2.92 % (590703)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2303348323:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 12.80/2.92 % (590666)Refutation found. Thanks to Tanya!
% 12.80/2.92 % SZS status Theorem for theBenchmark
% 12.80/2.92 % SZS output start Proof for theBenchmark
% See solution above
% 12.80/2.92 % (590666)------------------------------
% 12.80/2.92 % (590666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.92 % (590666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.92 % (590666)CaDiCaL version: 2.1.3
% 12.80/2.92 % (590666)Termination reason: Refutation
% 12.80/2.92 % (590666)Time elapsed: 1.096 s
% 12.80/2.92 % (590666)Peak memory usage: 129 MB
% 12.80/2.92 % (590666)Instructions burned: 1014 (million)
% 12.80/2.92 % (590666)------------------------------
% 12.80/2.92 % (590666)------------------------------
% 12.80/2.92 % (590655)Success in time 1.707 s
% 12.80/2.92 % Vampire exiting
%------------------------------------------------------------------------------