%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP058-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 10:16:33 AM UTC 2026
% Result : Unsatisfiable 4.38s 1.14s
% Output : Refutation 4.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 5
% Syntax : Number of formulae : 87 ( 73 unt; 3 def)
% Number of atoms : 105 ( 78 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 217 ( 0 sgn 217 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0)))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f3,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f2]) ).
fof(f5,definition,
( spl0_1
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f7,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(avatar_component_clause,[],[f5]) ).
fof(f9,definition,
( spl0_2
<=> a2 = multiply(multiply(inverse(b2),b2),a2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f11,plain,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| spl0_2 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_3
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f15,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_3 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f16,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3,f13,f9,f5]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,X2))),X4))),multiply(multiply(multiply(X5,inverse(X5)),inverse(X0)),X1)))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,X3))),multiply(X4,inverse(X4))),multiply(X0,X1)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,X3))),multiply(X2,inverse(X2))) = multiply(X1,inverse(multiply(multiply(X0,multiply(X5,inverse(X5))),multiply(X3,X1)))),
inference(superposition,[],[f18,f1]) ).
fof(f45,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0)))),multiply(X1,X4)))) = X3,
inference(superposition,[],[f18,f22]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0))))))) = X1,
inference(superposition,[],[f1,f22]) ).
fof(f90,plain,
! [X2,X0,X1,X4] : multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))) = multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,X0))),
inference(superposition,[],[f46,f18]) ).
fof(f184,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X6,inverse(X6)) = multiply(X3,inverse(multiply(multiply(inverse(multiply(X1,X2)),inverse(multiply(multiply(X4,multiply(X5,inverse(X5))),multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))))),multiply(X4,X3)))),
inference(superposition,[],[f45,f90]) ).
fof(f186,plain,
! [X0,X6] : multiply(X0,inverse(X0)) = multiply(X6,inverse(X6)),
inference(forward_demodulation,[],[f184,f45]) ).
fof(f190,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),
inference(superposition,[],[f186,f90]) ).
fof(f201,plain,
! [X2,X3,X0,X1] : inverse(X2) = multiply(X1,inverse(multiply(multiply(multiply(X0,inverse(X0)),multiply(X3,inverse(X3))),multiply(X2,X1)))),
inference(superposition,[],[f18,f186]) ).
fof(f202,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(inverse(X2),multiply(multiply(X0,inverse(X0)),X1)))) = X2,
inference(superposition,[],[f1,f186]) ).
fof(f203,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3)))),inverse(multiply(X3,multiply(X0,inverse(X0))))) = X2,
inference(superposition,[],[f1,f186]) ).
fof(f585,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X1,X2)),inverse(multiply(inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X5,inverse(X5)),X3))),X6))),multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))))) = X6,
inference(superposition,[],[f17,f90]) ).
fof(f619,plain,
! [X3,X6,X4,X5] : multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X5,inverse(X5)),X3))),X6)) = X6,
inference(forward_demodulation,[],[f585,f202]) ).
fof(f691,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),multiply(multiply(X0,inverse(X0)),X2)) = X2,
inference(superposition,[],[f619,f186]) ).
fof(f704,plain,
! [X2,X0,X1] : inverse(multiply(X2,inverse(X2))) = multiply(inverse(multiply(X1,inverse(X1))),multiply(X0,inverse(X0))),
inference(superposition,[],[f619,f190]) ).
fof(f706,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),X1)))) = multiply(X1,multiply(X0,inverse(X0))),
inference(superposition,[],[f619,f186]) ).
fof(f1410,plain,
! [X2,X3,X0,X1] : inverse(X2) = multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(X1,inverse(X1)),X2))),multiply(X3,inverse(X3))),
inference(superposition,[],[f201,f22]) ).
fof(f3427,plain,
! [X2,X0,X1] : inverse(X1) = multiply(X2,inverse(multiply(inverse(inverse(multiply(X0,inverse(X0)))),multiply(X1,X2)))),
inference(superposition,[],[f201,f1410]) ).
fof(f4217,plain,
! [X2,X0,X1] : inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,inverse(inverse(multiply(X2,inverse(X2)))))))) = X0,
inference(superposition,[],[f3427,f1]) ).
fof(f4597,plain,
! [X3,X0,X1] : multiply(X3,inverse(X3)) = multiply(inverse(inverse(multiply(X0,inverse(X0)))),multiply(X1,inverse(X1))),
inference(superposition,[],[f4217,f706]) ).
fof(f4605,plain,
! [X2,X3,X0] : multiply(X0,inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(X3,inverse(X3))))) = X0,
inference(superposition,[],[f203,f4217]) ).
fof(f5819,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(inverse(multiply(X3,inverse(X3)))))))),inverse(multiply(X0,inverse(X0)))) = X2,
inference(superposition,[],[f203,f4597]) ).
fof(f5844,plain,
! [X2,X0] : multiply(X2,inverse(multiply(X0,inverse(X0)))) = X2,
inference(forward_demodulation,[],[f5819,f4217]) ).
fof(f5889,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(multiply(X0,inverse(X0))),multiply(X1,inverse(X1)))) = X2,
inference(superposition,[],[f5844,f704]) ).
fof(f6179,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X3,inverse(X3))),multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,multiply(X1,inverse(X1)))))))) = X0,
inference(superposition,[],[f46,f5889]) ).
fof(f6207,plain,
! [X2,X0,X1] : multiply(multiply(X2,inverse(X2)),inverse(inverse(multiply(X0,multiply(X1,inverse(X1)))))) = X0,
inference(forward_demodulation,[],[f6179,f691]) ).
fof(f6334,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(X0,multiply(X1,inverse(X1))))),inverse(multiply(inverse(X2),X0))) = X2,
inference(superposition,[],[f202,f6207]) ).
fof(f12148,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(inverse(X0)),multiply(X1,inverse(X1))))) = X0,
inference(superposition,[],[f6334,f5844]) ).
fof(f12325,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X1,inverse(X1)),X0),
inference(superposition,[],[f6207,f12148]) ).
fof(f12793,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = inverse(inverse(inverse(multiply(inverse(inverse(multiply(X0,inverse(X0)))),multiply(X1,inverse(X1)))))),
inference(superposition,[],[f4605,f12325]) ).
fof(f12868,plain,
! [X2,X0] : multiply(X2,inverse(X2)) = inverse(multiply(X0,inverse(X0))),
inference(forward_demodulation,[],[f12793,f12148]) ).
fof(f13252,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(inverse(X1)),inverse(multiply(X0,inverse(X0)))))) = X1,
inference(superposition,[],[f12148,f12868]) ).
fof(f13351,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(superposition,[],[f5844,f12868]) ).
fof(f13733,plain,
! [X1] : inverse(inverse(inverse(inverse(X1)))) = X1,
inference(forward_demodulation,[],[f13252,f5844]) ).
fof(f14310,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),X0))),multiply(X0,multiply(X1,inverse(X1))))) = X2,
inference(superposition,[],[f13351,f706]) ).
fof(f14383,plain,
! [X2,X0,X1] : multiply(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0)))),inverse(X0)) = X2,
inference(superposition,[],[f203,f13351]) ).
fof(f14384,plain,
! [X2,X0,X1] : inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,inverse(X2)),X0)))) = X0,
inference(superposition,[],[f706,f13351]) ).
fof(f14430,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))),multiply(X3,inverse(X3))))) = X2,
inference(superposition,[],[f18,f13351]) ).
fof(f14482,plain,
! [X2,X0,X1] : multiply(inverse(X1),inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))))) = X2,
inference(forward_demodulation,[],[f14430,f13351]) ).
fof(f14511,plain,
! [X2,X0] : inverse(inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X0))))) = X0,
inference(forward_demodulation,[],[f14384,f12325]) ).
fof(f14512,plain,
! [X2,X0] : multiply(inverse(inverse(inverse(inverse(multiply(X2,X0))))),inverse(X0)) = X2,
inference(forward_demodulation,[],[f14383,f12325]) ).
fof(f14554,plain,
! [X2,X3,X0,X4] : multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),X0))),X0)) = X2,
inference(forward_demodulation,[],[f14310,f13351]) ).
fof(f14578,plain,
! [X2,X1] : multiply(inverse(X1),inverse(inverse(inverse(inverse(multiply(X1,X2)))))) = X2,
inference(forward_demodulation,[],[f14482,f12325]) ).
fof(f14596,plain,
! [X2,X0] : multiply(multiply(X2,inverse(X2)),X0) = X0,
inference(forward_demodulation,[],[f14511,f13733]) ).
fof(f14597,plain,
! [X2,X0] : multiply(multiply(X2,X0),inverse(X0)) = X2,
inference(forward_demodulation,[],[f14512,f13733]) ).
fof(f14611,plain,
! [X2,X0,X4] : multiply(X2,multiply(inverse(inverse(inverse(multiply(multiply(X4,inverse(X4)),X0)))),X0)) = X2,
inference(forward_demodulation,[],[f14554,f12325]) ).
fof(f14619,plain,
! [X2,X1] : multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(forward_demodulation,[],[f14578,f13733]) ).
fof(f14632,plain,
! [X2,X0] : multiply(X2,multiply(inverse(inverse(inverse(inverse(inverse(X0))))),X0)) = X2,
inference(forward_demodulation,[],[f14611,f12325]) ).
fof(f14634,plain,
! [X2,X0] : multiply(X2,multiply(inverse(X0),X0)) = X2,
inference(forward_demodulation,[],[f14632,f13733]) ).
fof(f14644,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),X0))),multiply(X0,multiply(X1,inverse(X1)))),X4) = X4,
inference(superposition,[],[f14596,f706]) ).
fof(f14735,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f14596,f12325]) ).
fof(f15210,plain,
! [X2,X3,X0,X4] : multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),X0))),X0),X4) = X4,
inference(forward_demodulation,[],[f14644,f13351]) ).
fof(f15314,plain,
! [X3,X0,X4] : multiply(multiply(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X0)))),X0),X4) = X4,
inference(forward_demodulation,[],[f15210,f12325]) ).
fof(f15351,plain,
! [X0,X4] : multiply(multiply(inverse(inverse(inverse(inverse(inverse(X0))))),X0),X4) = X4,
inference(forward_demodulation,[],[f15314,f12325]) ).
fof(f15357,plain,
! [X0,X4] : multiply(multiply(inverse(X0),X0),X4) = X4,
inference(forward_demodulation,[],[f15351,f13733]) ).
fof(f16416,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f14619,f14597]) ).
fof(f16844,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f14619,f14634]) ).
fof(f21072,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(multiply(multiply(X1,multiply(X4,inverse(X4))),multiply(X2,X5)))) = multiply(inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))),multiply(X3,inverse(X3)))),X5),
inference(superposition,[],[f16416,f22]) ).
fof(f21323,plain,
! [X2,X0,X1,X4,X5] : inverse(inverse(multiply(multiply(X1,multiply(X4,inverse(X4))),multiply(X2,X5)))) = multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))),X5),
inference(forward_demodulation,[],[f21072,f13351]) ).
fof(f21445,plain,
! [X2,X1,X4,X5] : inverse(inverse(multiply(multiply(X1,multiply(X4,inverse(X4))),multiply(X2,X5)))) = multiply(inverse(inverse(inverse(inverse(multiply(X1,X2))))),X5),
inference(forward_demodulation,[],[f21323,f12325]) ).
fof(f21521,plain,
! [X2,X1,X4,X5] : inverse(inverse(multiply(multiply(X1,multiply(X4,inverse(X4))),multiply(X2,X5)))) = multiply(multiply(X1,X2),X5),
inference(forward_demodulation,[],[f21445,f13733]) ).
fof(f21555,plain,
! [X2,X1,X4,X5] : multiply(multiply(X1,multiply(X4,inverse(X4))),multiply(X2,X5)) = multiply(multiply(X1,X2),X5),
inference(forward_demodulation,[],[f21521,f14735]) ).
fof(f21568,plain,
! [X2,X1,X5] : multiply(X1,multiply(X2,X5)) = multiply(multiply(X1,X2),X5),
inference(forward_demodulation,[],[f21555,f13351]) ).
fof(f31619,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(superposition,[],[f7,f21568]) ).
fof(f31821,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f31619]) ).
fof(f31822,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f31821]) ).
fof(f33290,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f11,f15357]) ).
fof(f33291,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f33290]) ).
fof(f33292,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f15,f16844]) ).
fof(f33293,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f33292]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f16]) ).
cnf(s10104,plain,
spl0_1,
inference(sat_conversion,[],[f31822]) ).
cnf(s10242,plain,
spl0_2,
inference(sat_conversion,[],[f33291]) ).
cnf(s10243,plain,
spl0_3,
inference(sat_conversion,[],[f33293]) ).
cnf(s10244,plain,
$false,
inference(rat,[],[s4,s10243,s10242,s10104]) ).
fof(f33294,plain,
$false,
inference(avatar_sat_refutation,[],[s10244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP058-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:15:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.38/1.14 % (1143974)Will run a generic schedule for satisfiability detection.
% 4.38/1.14 % (1143981)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2978928959:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.38/1.14 % (1143980)% WARNING: option uhcvi not known.
% 4.38/1.14 % (1143980)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=933158450:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.38/1.14 % (1143979)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4072168866_2999 on theBenchmark for (2999ds/0Mi)
% 4.38/1.14 % (1143983)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=943963020:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.38/1.14 % (1143982)dis+10_1_sil=32000:sp=arity:random_seed=796335397:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.38/1.14 % TRYING [1]
% 4.38/1.14 % TRYING [2]
% 4.38/1.14 % TRYING [3]
% 4.38/1.14 % (1143985)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=79260162:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.38/1.14 % (1143984)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1987661695:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.38/1.14 % TRYING [4]
% 4.38/1.14 % (1143982)Instruction limit reached!
% 4.38/1.14 % (1143982)------------------------------
% 4.38/1.14 % (1143982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/1.14 % (1143982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.14 % (1143982)CaDiCaL version: 2.1.3
% 4.38/1.14 % (1143982)Termination reason: Instruction limit
% 4.38/1.14 % (1143982)Termination phase: Saturation
% 4.38/1.14 % (1143982)Time elapsed: 0.056 s
% 4.38/1.14 % (1143982)Peak memory usage: 12 MB
% 4.38/1.14 % (1143982)Instructions burned: 104 (million)
% 4.38/1.14 % (1143983)Instruction limit reached!
% 4.38/1.14 % (1143983)------------------------------
% 4.38/1.14 % (1143983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/1.14 % (1143983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.14 % (1143983)CaDiCaL version: 2.1.3
% 4.38/1.14 % (1143983)Termination reason: Instruction limit
% 4.38/1.14 % (1143983)Termination phase: Saturation
% 4.38/1.14 % (1143983)Time elapsed: 0.067 s
% 4.38/1.14 % (1143983)Peak memory usage: 13 MB
% 4.38/1.14 % (1143983)Instructions burned: 117 (million)
% 4.38/1.14 % (1144004)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3486350680:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.38/1.14 % TRYING [1]
% 4.38/1.14 % TRYING [2]
% 4.38/1.14 % TRYING [3]
% 4.38/1.14 % (1144008)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3659472900:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.38/1.14 % (1143985)Instruction limit reached!
% 4.38/1.14 % (1143985)------------------------------
% 4.38/1.14 % (1143985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/1.14 % (1143985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.14 % (1143985)CaDiCaL version: 2.1.3
% 4.38/1.14 % (1143985)Termination reason: Instruction limit
% 4.38/1.14 % (1143985)Termination phase: Saturation
% 4.38/1.14 % (1143985)Time elapsed: 0.074 s
% 4.38/1.14 % (1143985)Peak memory usage: 13 MB
% 4.38/1.14 % (1143985)Instructions burned: 162 (million)
% 4.38/1.14 % (1144018)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2378058121:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.38/1.14 % (1143984)Instruction limit reached!
% 4.38/1.14 % (1143984)------------------------------
% 4.38/1.14 % (1143984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/1.14 % (1143984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.14 % (1143984)CaDiCaL version: 2.1.3
% 4.38/1.14 % (1143984)Termination reason: Instruction limit
% 4.38/1.14 % (1143984)Termination phase: Saturation
% 4.38/1.14 % (1143984)Time elapsed: 0.091 s
% 4.38/1.14 % (1143984)Peak memory usage: 13 MB
% 4.38/1.14 % (1143984)Instructions burned: 131 (million)
% 4.38/1.14 % TRYING [4]
% 4.38/1.14 % (1144028)ott-21_1_sil=16000:fs=off:random_seed=2600376531:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.38/1.14 % (1144008)Instruction limit reached!
% 4.38/1.14 % (1144008)------------------------------
% 4.38/1.14 % (1144008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/1.14 % (1144008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.14 % (1144008)CaDiCaL version: 2.1.3
% 4.38/1.14 % (1144008)Termination reason: Instruction limit
% 4.38/1.14 % (1144008)Termination phase: Saturation
% 4.38/1.14 % (1144008)Time elapsed: 0.076 s
% 4.38/1.14 % (1144008)Peak memory usage: 13 MB
% 4.38/1.14 % (1144008)Instructions burned: 132 (million)
% 4.38/1.14 % (1144049)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3140173441:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.38/1.14 % (1144028)Instruction limit reached!
% 4.38/1.14 % (1144028)------------------------------
% 4.38/1.14 % (1144028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/1.14 % (1144028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.14 % (1144028)CaDiCaL version: 2.1.3
% 4.38/1.14 % (1144028)Termination reason: Instruction limit
% 4.38/1.14 % (1144028)Termination phase: Saturation
% 4.38/1.14 % (1144028)Time elapsed: 0.096 s
% 4.38/1.14 % (1144028)Peak memory usage: 12 MB
% 4.38/1.14 % (1144028)Instructions burned: 181 (million)
% 4.38/1.14 % (1144070)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3659340333:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.38/1.14 % TRYING [1]
% 4.38/1.14 % TRYING [2]
% 4.38/1.14 % TRYING [3]
% 4.38/1.14 % TRYING [4]
% 4.38/1.14 % (1144018)Instruction limit reached!
% 4.38/1.14 % (1144018)------------------------------
% 4.38/1.14 % (1144018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/1.14 % (1144018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.14 % (1144018)CaDiCaL version: 2.1.3
% 4.38/1.14 % (1144018)Termination reason: Instruction limit
% 4.38/1.14 % (1144018)Termination phase: Saturation
% 4.38/1.14 % (1144018)Time elapsed: 0.185 s
% 4.38/1.14 % (1144018)Peak memory usage: 19 MB
% 4.38/1.14 % (1144018)Instructions burned: 686 (million)
% 4.38/1.14 % (1144087)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=739665610:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 4.38/1.14 % (1144049)Instruction limit reached!
% 4.38/1.14 % (1144049)------------------------------
% 4.38/1.14 % (1144049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/1.14 % (1144049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.14 % (1144049)CaDiCaL version: 2.1.3
% 4.38/1.14 % (1144049)Termination reason: Instruction limit
% 4.38/1.14 % (1144049)Termination phase: Saturation
% 4.38/1.14 % (1144049)Time elapsed: 0.272 s
% 4.38/1.14 % (1144049)Peak memory usage: 15 MB
% 4.38/1.14 % (1144049)Instructions burned: 478 (million)
% 4.38/1.14 % (1144108)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3736433553:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 4.38/1.14 % TRYING [14]
% 4.38/1.14 % (1144004)Instruction limit reached!
% 4.38/1.14 % (1144004)------------------------------
% 4.38/1.14 % (1144004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/1.14 % (1144004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.14 % (1144004)CaDiCaL version: 2.1.3
% 4.38/1.14 % (1144004)Termination reason: Instruction limit
% 4.38/1.14 % (1144004)Termination phase: Finite model building SAT solving
% 4.38/1.14 % (1144004)Time elapsed: 0.448 s
% 4.38/1.14 % (1144004)Peak memory usage: 12 MB
% 4.38/1.14 % (1144004)Instructions burned: 714 (million)
% 4.38/1.14 % (1144110)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3427764717:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.38/1.14 % (1144087)Instruction limit reached!
% 4.38/1.14 % (1144087)------------------------------
% 4.38/1.14 % (1144087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/1.14 % (1144087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.14 % (1144087)CaDiCaL version: 2.1.3
% 4.38/1.14 % (1144087)Termination reason: Instruction limit
% 4.38/1.14 % (1144087)Termination phase: Saturation
% 4.38/1.14 % (1144087)Time elapsed: 0.311 s
% 4.38/1.14 % (1144087)Peak memory usage: 28 MB
% 4.38/1.14 % (1144087)Instructions burned: 1181 (million)
% 4.38/1.14 % (1144112)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1400332340:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 4.38/1.14 % (1143981) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1143974-1143981"...
% 4.38/1.14 % (1143981)...printing done.
% 4.38/1.14 % (1143981)Refutation found. Thanks to Tanya!
% 4.38/1.14 % SZS status Unsatisfiable for theBenchmark
% 4.38/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 4.38/1.14 % (1143981)------------------------------
% 4.38/1.14 % (1143981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.38/1.14 % (1143981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.14 % (1143981)CaDiCaL version: 2.1.3
% 4.38/1.14 % (1143981)Termination reason: Refutation
% 4.38/1.14 % (1143981)Time elapsed: 0.684 s
% 4.38/1.14 % (1143981)Peak memory usage: 24 MB
% 4.38/1.14 % (1143981)Instructions burned: 1472 (million)
% 4.38/1.14 % (1143974)Success in time 0.727 s
% 4.38/1.14 % Vampire exiting
%------------------------------------------------------------------------------