%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL368+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 11:52:06 AM UTC 2026
% Result : Theorem 12.72s 3.70s
% Output : Refutation 20.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of formulae : 58 ( 30 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 77 ( 40 ~; 35 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 155 ( 155 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f5,conjecture,
is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_23) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[],[f4]) ).
fof(f12,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f2]) ).
fof(f14,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f13,f14]) ).
fof(f16,plain,
~ is_a_theorem(implies(implies(y,implies(x,z)),implies(x,implies(y,z)))),
inference(resolution,[],[f15,f10]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f15,f14]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X3,X1))) ),
inference(resolution,[],[f17,f13]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X3,X2)))
| is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(resolution,[],[f17,f15]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f19,f13]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(X2,X3))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f19,f15]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X3,implies(X4,X1)))
| is_a_theorem(implies(X3,implies(X0,implies(X4,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f20,f17]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X2,X3),implies(X1,X3)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f18,f14]) ).
fof(f32,plain,
~ is_a_theorem(implies(x,implies(implies(x,z),z))),
inference(resolution,[],[f16,f20]) ).
fof(f42,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f12,f17]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X3,X2)))
| is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))) ),
inference(resolution,[],[f11,f23]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[],[f21,f12]) ).
fof(f102,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X1))),
inference(resolution,[],[f66,f11]) ).
fof(f110,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f102,f66]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(implies(X0,X2)),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f42,f20]) ).
fof(f125,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f42,f11]) ).
fof(f149,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f49,f11]) ).
fof(f159,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f149,f66]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X2),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f159,f31]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f159,f17]) ).
fof(f186,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f172,f13]) ).
fof(f201,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(resolution,[],[f186,f166]) ).
fof(f214,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X3,implies(not(X2),X4)),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f201,f31]) ).
fof(f266,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X4),X5),X2)))
| is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,X3))) ),
inference(resolution,[],[f214,f20]) ).
fof(f280,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
inference(resolution,[],[f266,f110]) ).
fof(f300,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X2,X3),implies(X4,X3)),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f280,f31]) ).
fof(f309,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),implies(X3,X2)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f280,f14]) ).
fof(f311,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f309,f159]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(X1,implies(X0,X3))) ),
inference(resolution,[],[f309,f15]) ).
fof(f362,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,implies(X1,X2))),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f311,f122]) ).
fof(f423,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f362,f14]) ).
fof(f432,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f423,f317]) ).
fof(f434,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X0),implies(X1,implies(X0,X0)))),
inference(resolution,[],[f432,f13]) ).
fof(f463,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X1)))
| ~ is_a_theorem(implies(X1,X1)) ),
inference(resolution,[],[f434,f14]) ).
fof(f464,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(forward_subsumption_resolution,[],[f463,f125]) ).
fof(f481,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f464,f300]) ).
fof(f518,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[],[f481,f42]) ).
fof(f519,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1))),
inference(resolution,[],[f481,f66]) ).
fof(f529,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X2),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f518,f17]) ).
fof(f614,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X3),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f529,f20]) ).
fof(f896,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X0,X2))),
inference(resolution,[],[f614,f519]) ).
fof(f936,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f896,f309]) ).
fof(f1119,plain,
$false,
inference(resolution,[],[f936,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL368+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 15:37:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 14.50/2.99 % (3552106)Detected formulas, will run a generic FOF schedule.
% 14.50/2.99 % (3552111)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=584217103:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.50/2.99 % (3552117)dis-21_1_sil=8000:lcm=predicate:random_seed=1854480546: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)
% 14.50/2.99 % (3552113)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=3103547193:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.50/2.99 % (3552114)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=865359129:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.50/2.99 % (3552112)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=960459710:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.50/2.99 % (3552115)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=589297149:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.50/2.99 % (3552116)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1713589934:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.50/2.99 % (3552114)Refutation not found, incomplete strategy
% 14.50/2.99 % (3552114)------------------------------
% 14.50/2.99 % (3552114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/2.99 % (3552114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/2.99 % (3552114)CaDiCaL version: 2.1.3
% 14.50/2.99 % (3552114)Termination reason: Refutation not found, incomplete strategy
% 14.50/2.99 % (3552114)Time elapsed: 0.001 s
% 14.50/2.99 % (3552114)Peak memory usage: 87 MB
% 14.50/2.99 % (3552115)Instruction limit reached!
% 14.50/2.99 % (3552115)------------------------------
% 14.50/2.99 % (3552115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/2.99 % (3552115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/2.99 % (3552115)CaDiCaL version: 2.1.3
% 14.50/2.99 % (3552115)Termination reason: Instruction limit
% 14.50/2.99 % (3552115)Termination phase: Saturation
% 14.50/2.99 % (3552115)Time elapsed: 0.068 s
% 14.50/2.99 % (3552115)Peak memory usage: 87 MB
% 14.50/2.99 % (3552115)Instructions burned: 121 (million)
% 14.50/2.99 % (3552117)Instruction limit reached!
% 14.50/2.99 % (3552117)------------------------------
% 14.50/2.99 % (3552117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/2.99 % (3552117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/2.99 % (3552117)CaDiCaL version: 2.1.3
% 14.50/2.99 % (3552117)Termination reason: Instruction limit
% 14.50/2.99 % (3552117)Termination phase: Saturation
% 14.50/2.99 % (3552117)Time elapsed: 0.082 s
% 14.50/2.99 % (3552117)Peak memory usage: 88 MB
% 14.50/2.99 % (3552117)Instructions burned: 130 (million)
% 14.50/2.99 % (3552116)Instruction limit reached!
% 14.50/2.99 % (3552116)------------------------------
% 14.50/2.99 % (3552116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/2.99 % (3552116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/2.99 % (3552116)CaDiCaL version: 2.1.3
% 14.50/2.99 % (3552116)Termination reason: Instruction limit
% 14.50/2.99 % (3552116)Termination phase: Saturation
% 14.50/2.99 % (3552116)Time elapsed: 0.094 s
% 14.50/2.99 % (3552116)Peak memory usage: 89 MB
% 14.50/2.99 % (3552116)Instructions burned: 140 (million)
% 14.50/2.99 % (3552125)lrs+10_1_sil=8000:sp=occurrence:random_seed=1015819132:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 14.50/2.99 % (3552126)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2107758242:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 14.50/2.99 % (3552114)------------------------------
% 14.50/2.99 % (3552114)------------------------------
% 14.50/2.99 % (3552127)lrs+1011_1_sil=32000:sp=occurrence:random_seed=615325504:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 14.50/2.99 % (3552126)Instruction limit reached!
% 14.50/2.99 % (3552126)------------------------------
% 14.50/2.99 % (3552126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/2.99 % (3552126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552126)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552126)Termination reason: Instruction limit
% 12.72/3.70 % (3552126)Termination phase: Saturation
% 12.72/3.70 % (3552126)Time elapsed: 0.091 s
% 12.72/3.70 % (3552126)Peak memory usage: 89 MB
% 12.72/3.70 % (3552126)Instructions burned: 157 (million)
% 12.72/3.70 % (3552125)Instruction limit reached!
% 12.72/3.70 % (3552125)------------------------------
% 12.72/3.70 % (3552125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552125)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552125)Termination reason: Instruction limit
% 12.72/3.70 % (3552125)Termination phase: Saturation
% 12.72/3.70 % (3552125)Time elapsed: 0.175 s
% 12.72/3.70 % (3552125)Peak memory usage: 91 MB
% 12.72/3.70 % (3552125)Instructions burned: 285 (million)
% 12.72/3.70 % (3552130)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=173888624:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.72/3.70 % (3552127)Instruction limit reached!
% 12.72/3.70 % (3552127)------------------------------
% 12.72/3.70 % (3552127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552127)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552127)Termination reason: Instruction limit
% 12.72/3.70 % (3552127)Termination phase: Saturation
% 12.72/3.70 % (3552127)Time elapsed: 0.210 s
% 12.72/3.70 % (3552127)Peak memory usage: 93 MB
% 12.72/3.70 % (3552127)Instructions burned: 325 (million)
% 12.72/3.70 % (3552132)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3068512091:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 12.72/3.70 % (3552132)Refutation not found, incomplete strategy
% 12.72/3.70 % (3552132)------------------------------
% 12.72/3.70 % (3552132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552132)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552132)Termination reason: Refutation not found, incomplete strategy
% 12.72/3.70 % (3552132)Time elapsed: 0.001 s
% 12.72/3.70 % (3552132)Peak memory usage: 87 MB
% 12.72/3.70 % (3552133)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1804183763:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 12.72/3.70 % (3552130)Instruction limit reached!
% 12.72/3.70 % (3552130)------------------------------
% 12.72/3.70 % (3552130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552130)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552130)Termination reason: Instruction limit
% 12.72/3.70 % (3552130)Termination phase: Saturation
% 12.72/3.70 % (3552130)Time elapsed: 0.143 s
% 12.72/3.70 % (3552130)Peak memory usage: 89 MB
% 12.72/3.70 % (3552130)Instructions burned: 248 (million)
% 12.72/3.70 % (3552135)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1465802460:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 12.72/3.70 % (3552135)Instruction limit reached!
% 12.72/3.70 % (3552135)------------------------------
% 12.72/3.70 % (3552135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552135)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552135)Termination reason: Instruction limit
% 12.72/3.70 % (3552135)Termination phase: Saturation
% 12.72/3.70 % (3552135)Time elapsed: 0.069 s
% 12.72/3.70 % (3552135)Peak memory usage: 89 MB
% 12.72/3.70 % (3552135)Instructions burned: 114 (million)
% 12.72/3.70 % (3552138)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4076235907:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 12.72/3.70 % (3552132)------------------------------
% 12.72/3.70 % (3552132)------------------------------
% 12.72/3.70 % (3552138)Instruction limit reached!
% 12.72/3.70 % (3552138)------------------------------
% 12.72/3.70 % (3552138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552138)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552138)Termination reason: Instruction limit
% 12.72/3.70 % (3552138)Termination phase: Saturation
% 12.72/3.70 % (3552138)Time elapsed: 0.073 s
% 12.72/3.70 % (3552138)Peak memory usage: 88 MB
% 12.72/3.70 % (3552138)Instructions burned: 129 (million)
% 12.72/3.70 % (3552140)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3570455500:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 12.72/3.70 % (3552142)lrs+10_1_sil=8000:sp=occurrence:random_seed=4277131308:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 12.72/3.70 % (3552140)Instruction limit reached!
% 12.72/3.70 % (3552140)------------------------------
% 12.72/3.70 % (3552140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552140)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552140)Termination reason: Instruction limit
% 12.72/3.70 % (3552140)Termination phase: Saturation
% 12.72/3.70 % (3552140)Time elapsed: 0.075 s
% 12.72/3.70 % (3552140)Peak memory usage: 89 MB
% 12.72/3.70 % (3552140)Instructions burned: 116 (million)
% 12.72/3.70 % (3552143)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3504071449:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 12.72/3.70 % (3552143)Refutation not found, incomplete strategy
% 12.72/3.70 % (3552143)------------------------------
% 12.72/3.70 % (3552143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552143)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552143)Termination reason: Refutation not found, incomplete strategy
% 12.72/3.70 % (3552143)Time elapsed: 0.001 s
% 12.72/3.70 % (3552143)Peak memory usage: 88 MB
% 12.72/3.70 % (3552146)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3232099732:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 12.72/3.70 % (3552143)------------------------------
% 12.72/3.70 % (3552143)------------------------------
% 12.72/3.70 % (3552149)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1477979192:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 12.72/3.70 % (3552149)Instruction limit reached!
% 12.72/3.70 % (3552149)------------------------------
% 12.72/3.70 % (3552149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552149)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552149)Termination reason: Instruction limit
% 12.72/3.70 % (3552149)Termination phase: Saturation
% 12.72/3.70 % (3552149)Time elapsed: 0.077 s
% 12.72/3.70 % (3552149)Peak memory usage: 89 MB
% 12.72/3.70 % (3552149)Instructions burned: 135 (million)
% 12.72/3.70 % (3552142)Instruction limit reached!
% 12.72/3.70 % (3552142)------------------------------
% 12.72/3.70 % (3552142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552142)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552142)Termination reason: Instruction limit
% 12.72/3.70 % (3552142)Termination phase: Saturation
% 12.72/3.70 % (3552142)Time elapsed: 0.571 s
% 12.72/3.70 % (3552142)Peak memory usage: 95 MB
% 12.72/3.70 % (3552142)Instructions burned: 907 (million)
% 12.72/3.70 % (3552151)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1227400087:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 12.72/3.70 % (3552151)Refutation not found, incomplete strategy
% 12.72/3.70 % (3552151)------------------------------
% 12.72/3.70 % (3552151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552151)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552151)Termination reason: Refutation not found, incomplete strategy
% 12.72/3.70 % (3552151)Time elapsed: 0.001 s
% 12.72/3.70 % (3552151)Peak memory usage: 88 MB
% 12.72/3.70 % (3552152)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=292300816:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 12.72/3.70 % (3552151)------------------------------
% 12.72/3.70 % (3552151)------------------------------
% 12.72/3.70 % (3552155)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1378671328:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 12.72/3.70 % (3552133)Instruction limit reached!
% 12.72/3.70 % (3552133)------------------------------
% 12.72/3.70 % (3552133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552133)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552133)Termination reason: Instruction limit
% 12.72/3.70 % (3552133)Termination phase: Saturation
% 12.72/3.70 % (3552133)Time elapsed: 1.471 s
% 12.72/3.70 % (3552133)Peak memory usage: 141 MB
% 12.72/3.70 % (3552133)Instructions burned: 2351 (million)
% 12.72/3.70 % (3552155)Instruction limit reached!
% 12.72/3.70 % (3552155)------------------------------
% 12.72/3.70 % (3552155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552155)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552155)Termination reason: Instruction limit
% 12.72/3.70 % (3552155)Termination phase: Saturation
% 12.72/3.70 % (3552155)Time elapsed: 0.079 s
% 12.72/3.70 % (3552155)Peak memory usage: 89 MB
% 12.72/3.70 % (3552155)Instructions burned: 127 (million)
% 12.72/3.70 % (3552157)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1904708941:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 12.72/3.70 % (3552158)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4190050209:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 12.72/3.70 % (3552158)Refutation not found, incomplete strategy
% 12.72/3.70 % (3552158)------------------------------
% 12.72/3.70 % (3552158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552158)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552158)Termination reason: Refutation not found, incomplete strategy
% 12.72/3.70 % (3552158)Time elapsed: 0.001 s
% 12.72/3.70 % (3552158)Peak memory usage: 88 MB
% 12.72/3.70 % (3552157)Instruction limit reached!
% 12.72/3.70 % (3552157)------------------------------
% 12.72/3.70 % (3552157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552157)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552157)Termination reason: Instruction limit
% 12.72/3.70 % (3552157)Termination phase: Saturation
% 12.72/3.70 % (3552157)Time elapsed: 0.084 s
% 12.72/3.70 % (3552157)Peak memory usage: 90 MB
% 12.72/3.70 % (3552157)Instructions burned: 134 (million)
% 12.72/3.70 % (3552152)First to succeed.
% 12.72/3.70 % (3552152)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3552106"
% 12.72/3.70 % (3552161)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2645883633:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 12.72/3.70 % (3552158)------------------------------
% 12.72/3.70 % (3552158)------------------------------
% 12.72/3.70 % (3552112)Also succeeded, but the first one will report.
% 12.72/3.70 % (3552163)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2224664684:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 12.72/3.70 % (3552161)Instruction limit reached!
% 12.72/3.70 % (3552161)------------------------------
% 12.72/3.70 % (3552161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/3.70 % (3552161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/3.70 % (3552161)CaDiCaL version: 2.1.3
% 12.72/3.70 % (3552161)Termination reason: Instruction limit
% 12.72/3.70 % (3552161)Termination phase: Saturation
% 12.72/3.70 % (3552161)Time elapsed: 0.246 s
% 12.72/3.70 % (3552161)Peak memory usage: 91 MB
% 12.72/3.70 % (3552161)Instructions burned: 431 (million)
% 12.72/3.70 % (3552152)Refutation found. Thanks to Tanya!
% 12.72/3.70 % SZS status Theorem for theBenchmark
% 12.72/3.70 % SZS output start Proof for theBenchmark
% See solution above
% 20.72/3.89 % (3552152)------------------------------
% 20.72/3.89 % (3552152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.72/3.89 % (3552152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.72/3.89 % (3552152)CaDiCaL version: 2.1.3
% 20.72/3.89 % (3552152)Termination reason: Refutation
% 20.72/3.89 % (3552152)Time elapsed: 0.786 s
% 20.72/3.89 % (3552152)Peak memory usage: 130 MB
% 20.72/3.89 % (3552152)Instructions burned: 1197 (million)
% 20.72/3.89 % (3552152)------------------------------
% 20.72/3.89 % (3552152)------------------------------
% 20.72/3.89 % (3552106)Success in time 2.86 s
% 20.72/3.89 % Vampire exiting
%------------------------------------------------------------------------------