%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG071+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 09:09:29 AM UTC 2026
% Result : Theorem 9.12s 2.04s
% Output : Refutation 9.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 50 ( 22 unt; 0 def)
% Number of atoms : 156 ( 59 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 167 ( 61 ~; 51 |; 33 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 69 ( 65 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( sorti1(X0)
=> ! [X1] :
( sorti1(X1)
=> sorti1(op1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f3,axiom,
! [X0] :
( sorti1(X0)
=> ? [X1] :
( sorti1(X1)
& op1(X1,op1(X1,X0)) != X0
& op1(X0,op1(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
~ ! [X0] :
( sorti2(X0)
=> ? [X1] :
( sorti2(X1)
& op2(X1,op2(X1,X0)) != X0
& op2(X0,op2(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,conjecture,
( ( ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) )
& ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) ) )
=> ~ ( ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f6,negated_conjecture,
~ ( ( ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) )
& ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) ) )
=> ~ ( ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 ) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
! [X0] :
( ! [X1] :
( sorti1(op1(X0,X1))
| ~ sorti1(X1) )
| ~ sorti1(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f9,plain,
! [X0] :
( ? [X1] :
( sorti1(X1)
& op1(X1,op1(X1,X0)) != X0
& op1(X0,op1(X1,X0)) = X1 )
| ~ sorti1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f10,plain,
? [X0] :
( ! [X1] :
( ~ sorti2(X1)
| op2(X1,op2(X1,X0)) = X0
| op2(X0,op2(X1,X0)) != X1 )
& sorti2(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f11,plain,
( ! [X2] :
( ! [X3] :
( h(op1(X2,X3)) = op2(h(X2),h(X3))
| ~ sorti1(X3) )
| ~ sorti1(X2) )
& ! [X4] :
( ! [X5] :
( j(op2(X4,X5)) = op1(j(X4),j(X5))
| ~ sorti2(X5) )
| ~ sorti2(X4) )
& ! [X6] :
( h(j(X6)) = X6
| ~ sorti2(X6) )
& ! [X7] :
( j(h(X7)) = X7
| ~ sorti1(X7) )
& ! [X0] :
( sorti2(h(X0))
| ~ sorti1(X0) )
& ! [X1] :
( sorti1(j(X1))
| ~ sorti2(X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f12,plain,
( ! [X2] :
( ! [X3] :
( h(op1(X2,X3)) = op2(h(X2),h(X3))
| ~ sorti1(X3) )
| ~ sorti1(X2) )
& ! [X4] :
( ! [X5] :
( j(op2(X4,X5)) = op1(j(X4),j(X5))
| ~ sorti2(X5) )
| ~ sorti2(X4) )
& ! [X6] :
( h(j(X6)) = X6
| ~ sorti2(X6) )
& ! [X7] :
( j(h(X7)) = X7
| ~ sorti1(X7) )
& ! [X0] :
( sorti2(h(X0))
| ~ sorti1(X0) )
& ! [X1] :
( sorti1(j(X1))
| ~ sorti2(X1) ) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ( sorti1(sK0(X0))
& op1(sK0(X0),op1(sK0(X0),X0)) != X0
& sK0(X0) = op1(X0,op1(sK0(X0),X0)) )
| ~ sorti1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f9]) ).
fof(f14,plain,
( ! [X1] :
( ~ sorti2(X1)
| sK1 = op2(X1,op2(X1,sK1))
| op2(sK1,op2(X1,sK1)) != X1 )
& sorti2(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f10]) ).
fof(f15,plain,
( ! [X0] :
( ! [X1] :
( h(op1(X0,X1)) = op2(h(X0),h(X1))
| ~ sorti1(X1) )
| ~ sorti1(X0) )
& ! [X2] :
( ! [X3] :
( j(op2(X2,X3)) = op1(j(X2),j(X3))
| ~ sorti2(X3) )
| ~ sorti2(X2) )
& ! [X4] :
( h(j(X4)) = X4
| ~ sorti2(X4) )
& ! [X5] :
( j(h(X5)) = X5
| ~ sorti1(X5) )
& ! [X6] :
( sorti2(h(X6))
| ~ sorti1(X6) )
& ! [X7] :
( sorti1(j(X7))
| ~ sorti2(X7) ) ),
inference(rectify,[],[f12]) ).
fof(f16,plain,
! [X0,X1] :
( ~ sorti1(X0)
| ~ sorti1(X1)
| sorti1(op1(X0,X1)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0] :
( ~ sorti1(X0)
| sK0(X0) = op1(X0,op1(sK0(X0),X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f19,plain,
! [X0] :
( ~ sorti1(X0)
| op1(sK0(X0),op1(sK0(X0),X0)) != X0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f20,plain,
! [X0] :
( ~ sorti1(X0)
| sorti1(sK0(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f21,plain,
sorti2(sK1),
inference(cnf_transformation,[],[f14]) ).
fof(f22,plain,
! [X1] :
( op2(sK1,op2(X1,sK1)) != X1
| sK1 = op2(X1,op2(X1,sK1))
| ~ sorti2(X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f23,plain,
! [X7] :
( ~ sorti2(X7)
| sorti1(j(X7)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f24,plain,
! [X6] :
( ~ sorti1(X6)
| sorti2(h(X6)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f25,plain,
! [X5] :
( ~ sorti1(X5)
| j(h(X5)) = X5 ),
inference(cnf_transformation,[],[f15]) ).
fof(f26,plain,
! [X4] :
( ~ sorti2(X4)
| h(j(X4)) = X4 ),
inference(cnf_transformation,[],[f15]) ).
fof(f28,plain,
! [X0,X1] :
( ~ sorti1(X0)
| ~ sorti1(X1)
| h(op1(X0,X1)) = op2(h(X0),h(X1)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f30,plain,
sorti1(j(sK1)),
inference(resolution,[],[f23,f21]) ).
fof(f31,plain,
sorti1(sK0(j(sK1))),
inference(resolution,[],[f30,f20]) ).
fof(f33,plain,
sK0(j(sK1)) = op1(j(sK1),op1(sK0(j(sK1)),j(sK1))),
inference(resolution,[],[f30,f18]) ).
fof(f34,plain,
j(sK1) != op1(sK0(j(sK1)),op1(sK0(j(sK1)),j(sK1))),
inference(resolution,[],[f30,f19]) ).
fof(f36,plain,
! [X0] :
( ~ sorti1(X0)
| h(op1(j(sK1),X0)) = op2(h(j(sK1)),h(X0)) ),
inference(resolution,[],[f28,f30]) ).
fof(f39,plain,
! [X0] :
( ~ sorti1(X0)
| h(op1(sK0(j(sK1)),X0)) = op2(h(sK0(j(sK1))),h(X0)) ),
inference(resolution,[],[f31,f28]) ).
fof(f41,plain,
sorti2(h(sK0(j(sK1)))),
inference(resolution,[],[f31,f24]) ).
fof(f44,plain,
sK1 = h(j(sK1)),
inference(resolution,[],[f26,f21]) ).
fof(f45,plain,
h(op1(sK0(j(sK1)),j(sK1))) = op2(h(sK0(j(sK1))),h(j(sK1))),
inference(resolution,[],[f39,f30]) ).
fof(f47,plain,
h(op1(sK0(j(sK1)),j(sK1))) = op2(h(sK0(j(sK1))),sK1),
inference(forward_demodulation,[],[f45,f44]) ).
fof(f49,plain,
! [X0] :
( ~ sorti1(X0)
| sorti1(op1(sK0(j(sK1)),X0)) ),
inference(resolution,[],[f16,f31]) ).
fof(f61,plain,
sorti1(op1(sK0(j(sK1)),j(sK1))),
inference(resolution,[],[f49,f30]) ).
fof(f164,plain,
h(op1(sK0(j(sK1)),op1(sK0(j(sK1)),j(sK1)))) = op2(h(sK0(j(sK1))),h(op1(sK0(j(sK1)),j(sK1)))),
inference(resolution,[],[f61,f39]) ).
fof(f166,plain,
sorti1(op1(sK0(j(sK1)),op1(sK0(j(sK1)),j(sK1)))),
inference(resolution,[],[f61,f49]) ).
fof(f168,plain,
op2(h(sK0(j(sK1))),op2(h(sK0(j(sK1))),sK1)) = h(op1(sK0(j(sK1)),op1(sK0(j(sK1)),j(sK1)))),
inference(forward_demodulation,[],[f164,f47]) ).
fof(f265,plain,
h(op1(j(sK1),op1(sK0(j(sK1)),j(sK1)))) = op2(h(j(sK1)),h(op1(sK0(j(sK1)),j(sK1)))),
inference(resolution,[],[f36,f61]) ).
fof(f268,plain,
h(op1(j(sK1),op1(sK0(j(sK1)),j(sK1)))) = op2(h(j(sK1)),op2(h(sK0(j(sK1))),sK1)),
inference(forward_demodulation,[],[f265,f47]) ).
fof(f276,plain,
op2(sK1,op2(h(sK0(j(sK1))),sK1)) = h(op1(j(sK1),op1(sK0(j(sK1)),j(sK1)))),
inference(forward_demodulation,[],[f268,f44]) ).
fof(f280,plain,
h(sK0(j(sK1))) = op2(sK1,op2(h(sK0(j(sK1))),sK1)),
inference(forward_demodulation,[],[f276,f33]) ).
fof(f282,plain,
( h(sK0(j(sK1))) != h(sK0(j(sK1)))
| sK1 = op2(h(sK0(j(sK1))),op2(h(sK0(j(sK1))),sK1))
| ~ sorti2(h(sK0(j(sK1)))) ),
inference(superposition,[],[f22,f280]) ).
fof(f283,plain,
( sK1 = op2(h(sK0(j(sK1))),op2(h(sK0(j(sK1))),sK1))
| ~ sorti2(h(sK0(j(sK1)))) ),
inference(trivial_inequality_removal,[],[f282]) ).
fof(f284,plain,
sK1 = op2(h(sK0(j(sK1))),op2(h(sK0(j(sK1))),sK1)),
inference(forward_subsumption_resolution,[],[f283,f41]) ).
fof(f772,plain,
op1(sK0(j(sK1)),op1(sK0(j(sK1)),j(sK1))) = j(h(op1(sK0(j(sK1)),op1(sK0(j(sK1)),j(sK1))))),
inference(resolution,[],[f166,f25]) ).
fof(f789,plain,
op1(sK0(j(sK1)),op1(sK0(j(sK1)),j(sK1))) = j(op2(h(sK0(j(sK1))),op2(h(sK0(j(sK1))),sK1))),
inference(forward_demodulation,[],[f772,f168]) ).
fof(f794,plain,
j(sK1) = op1(sK0(j(sK1)),op1(sK0(j(sK1)),j(sK1))),
inference(forward_demodulation,[],[f789,f284]) ).
fof(f797,plain,
$false,
inference(forward_subsumption_resolution,[],[f794,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG071+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n002.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 19:27:37 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 7.30/1.85 % (671270)Detected formulas, will run a generic FOF schedule.
% 7.30/1.85 % (671275)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=3773336275:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.30/1.85 % (671277)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=3779236570:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.30/1.85 % (671280)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=990444750:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.30/1.85 % (671281)dis-21_1_sil=8000:lcm=predicate:random_seed=2378110509: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)
% 7.30/1.85 % (671279)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1689588289:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.30/1.85 % (671278)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1609115135:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.30/1.85 % (671276)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=4026251713:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.30/1.85 % (671281)Refutation not found, incomplete strategy
% 7.30/1.85 % (671281)------------------------------
% 7.30/1.85 % (671281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/1.85 % (671281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.85 % (671281)CaDiCaL version: 2.1.3
% 7.30/1.85 % (671281)Termination reason: Refutation not found, incomplete strategy
% 7.30/1.85 % (671281)Time elapsed: 0.002 s
% 7.30/1.85 % (671281)Peak memory usage: 87 MB
% 7.30/1.85 % (671281)Instructions burned: 1 (million)
% 7.30/1.85 % (671278)Instruction limit reached!
% 7.30/1.85 % (671278)------------------------------
% 7.30/1.85 % (671278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/1.85 % (671278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.85 % (671278)CaDiCaL version: 2.1.3
% 7.30/1.85 % (671278)Termination reason: Instruction limit
% 7.30/1.85 % (671278)Termination phase: Saturation
% 7.30/1.85 % (671278)Time elapsed: 0.061 s
% 7.30/1.85 % (671278)Peak memory usage: 89 MB
% 7.30/1.85 % (671278)Instructions burned: 110 (million)
% 7.30/1.85 % (671279)Instruction limit reached!
% 7.30/1.85 % (671279)------------------------------
% 7.30/1.85 % (671279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/1.85 % (671279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.85 % (671279)CaDiCaL version: 2.1.3
% 7.30/1.85 % (671279)Termination reason: Instruction limit
% 7.30/1.85 % (671279)Termination phase: Saturation
% 7.30/1.85 % (671279)Time elapsed: 0.069 s
% 7.30/1.85 % (671279)Peak memory usage: 88 MB
% 7.30/1.85 % (671279)Instructions burned: 119 (million)
% 7.30/1.85 % (671280)Instruction limit reached!
% 7.30/1.85 % (671280)------------------------------
% 7.30/1.85 % (671280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/1.85 % (671280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.85 % (671280)CaDiCaL version: 2.1.3
% 7.30/1.85 % (671280)Termination reason: Instruction limit
% 7.30/1.85 % (671280)Termination phase: Saturation
% 7.30/1.85 % (671280)Time elapsed: 0.083 s
% 7.30/1.85 % (671280)Peak memory usage: 90 MB
% 7.30/1.85 % (671280)Instructions burned: 139 (million)
% 7.30/1.85 % (671289)lrs+10_1_sil=8000:sp=occurrence:random_seed=2384068911:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.30/1.85 % (671290)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3859771808:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.30/1.85 % (671291)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1294420983:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.30/1.85 % (671281)------------------------------
% 7.30/1.85 % (671281)------------------------------
% 7.30/1.85 % (671290)Instruction limit reached!
% 7.30/1.85 % (671290)------------------------------
% 7.30/1.85 % (671290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/1.85 % (671290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.85 % (671290)CaDiCaL version: 2.1.3
% 7.30/1.85 % (671290)Termination reason: Instruction limit
% 7.30/1.85 % (671290)Termination phase: Saturation
% 7.30/1.85 % (671290)Time elapsed: 0.080 s
% 7.30/1.85 % (671290)Peak memory usage: 90 MB
% 7.30/1.85 % (671290)Instructions burned: 158 (million)
% 7.30/1.85 % (671289)Instruction limit reached!
% 7.30/1.85 % (671289)------------------------------
% 7.30/1.85 % (671289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/1.85 % (671289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.85 % (671289)CaDiCaL version: 2.1.3
% 7.30/1.85 % (671289)Termination reason: Instruction limit
% 7.30/1.85 % (671289)Termination phase: Saturation
% 7.30/1.85 % (671289)Time elapsed: 0.163 s
% 7.30/1.85 % (671289)Peak memory usage: 92 MB
% 7.30/1.85 % (671289)Instructions burned: 286 (million)
% 7.30/1.85 % (671295)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=3443529272:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.30/1.85 % (671291)Instruction limit reached!
% 7.30/1.85 % (671291)------------------------------
% 7.30/1.85 % (671291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/1.85 % (671291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.85 % (671291)CaDiCaL version: 2.1.3
% 7.30/1.85 % (671291)Termination reason: Instruction limit
% 7.30/1.85 % (671291)Termination phase: Saturation
% 7.30/1.85 % (671291)Time elapsed: 0.198 s
% 7.30/1.85 % (671291)Peak memory usage: 93 MB
% 7.30/1.85 % (671291)Instructions burned: 326 (million)
% 7.30/1.85 % (671295)Instruction limit reached!
% 7.30/1.85 % (671295)------------------------------
% 7.30/1.85 % (671295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/1.85 % (671295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.85 % (671295)CaDiCaL version: 2.1.3
% 7.30/1.85 % (671295)Termination reason: Instruction limit
% 7.30/1.85 % (671295)Termination phase: Saturation
% 7.30/1.85 % (671295)Time elapsed: 0.076 s
% 7.30/1.85 % (671295)Peak memory usage: 94 MB
% 7.30/1.85 % (671295)Instructions burned: 251 (million)
% 7.30/1.85 % (671296)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4271948837:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.30/1.85 % (671298)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=656203346:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.30/1.85 % (671299)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=698216496:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.30/1.85 % (671300)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3598355237:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.30/1.85 % (671296)Instruction limit reached!
% 7.30/1.85 % (671296)------------------------------
% 7.30/1.85 % (671296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/1.85 % (671296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.85 % (671296)CaDiCaL version: 2.1.3
% 7.30/1.85 % (671296)Termination reason: Instruction limit
% 7.30/1.85 % (671296)Termination phase: Saturation
% 7.30/1.85 % (671296)Time elapsed: 0.162 s
% 7.30/1.85 % (671296)Peak memory usage: 89 MB
% 7.30/1.85 % (671296)Instructions burned: 296 (million)
% 7.30/1.85 % (671299)Instruction limit reached!
% 7.30/1.85 % (671299)------------------------------
% 7.30/1.85 % (671299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/1.85 % (671299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.85 % (671299)CaDiCaL version: 2.1.3
% 7.30/1.85 % (671299)Termination reason: Instruction limit
% 7.30/1.85 % (671299)Termination phase: Saturation
% 7.30/1.85 % (671299)Time elapsed: 0.080 s
% 7.30/1.85 % (671299)Peak memory usage: 91 MB
% 7.30/1.85 % (671299)Instructions burned: 114 (million)
% 7.30/1.85 % (671300)Instruction limit reached!
% 7.30/1.85 % (671300)------------------------------
% 7.30/1.85 % (671300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/1.85 % (671300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.85 % (671300)CaDiCaL version: 2.1.3
% 7.30/1.85 % (671300)Termination reason: Instruction limit
% 7.30/1.85 % (671300)Termination phase: Saturation
% 7.30/1.85 % (671300)Time elapsed: 0.061 s
% 9.12/2.04 % (671300)Peak memory usage: 89 MB
% 9.12/2.04 % (671300)Instructions burned: 127 (million)
% 9.12/2.04 % (671276)First to succeed.
% 9.12/2.04 % (671276)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-671270"
% 9.12/2.04 % (671305)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1775673208:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 9.12/2.04 % (671306)lrs+10_1_sil=8000:sp=occurrence:random_seed=2783012092:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 9.12/2.04 % (671307)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1152276912:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.12/2.04 % (671305)Instruction limit reached!
% 9.12/2.04 % (671305)------------------------------
% 9.12/2.04 % (671305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.12/2.04 % (671305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.12/2.04 % (671305)CaDiCaL version: 2.1.3
% 9.12/2.04 % (671305)Termination reason: Instruction limit
% 9.12/2.04 % (671305)Termination phase: Saturation
% 9.12/2.04 % (671305)Time elapsed: 0.060 s
% 9.12/2.04 % (671305)Peak memory usage: 89 MB
% 9.12/2.04 % (671305)Instructions burned: 114 (million)
% 9.12/2.04 % (671311)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4128309920:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 9.12/2.04 % (671276)Refutation found. Thanks to Tanya!
% 9.12/2.04 % SZS status Theorem for theBenchmark
% 9.12/2.04 % SZS output start Proof for theBenchmark
% See solution above
% 9.12/2.04 % (671276)------------------------------
% 9.12/2.04 % (671276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.12/2.04 % (671276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.12/2.04 % (671276)CaDiCaL version: 2.1.3
% 9.12/2.04 % (671276)Termination reason: Refutation
% 9.12/2.04 % (671276)Time elapsed: 0.754 s
% 9.12/2.04 % (671276)Peak memory usage: 130 MB
% 9.12/2.04 % (671276)Instructions burned: 1137 (million)
% 9.12/2.04 % (671276)------------------------------
% 9.12/2.04 % (671276)------------------------------
% 9.12/2.04 % (671270)Success in time 1.195 s
% 9.12/2.04 % Vampire exiting
%------------------------------------------------------------------------------