%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP068-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 10:12:30 AM UTC 2026
% Result : Unsatisfiable 4.91s 1.63s
% Output : Refutation 5.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 8
% Syntax : Number of formulae : 68 ( 45 unt; 3 def)
% Number of atoms : 96 ( 61 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 27 ~; 25 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,plain,
( identity != multiply(inverse(a1),a1)
| a2 != multiply(identity,a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
( identity != divide(divide(identity,a1),divide(identity,a1))
| a2 != divide(identity,divide(identity,a2))
| divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))) ),
inference(definition_unfolding,[],[f6,f2,f3,f2,f2,f2,f2,f2]) ).
fof(f9,definition,
( spl0_1
<=> divide(divide(a3,divide(identity,b3)),divide(identity,c3)) = divide(a3,divide(identity,divide(b3,divide(identity,c3)))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_2
<=> a2 = divide(identity,divide(identity,a2)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f15,plain,
( a2 != divide(identity,divide(identity,a2))
| spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f17,definition,
( spl0_3
<=> identity = divide(divide(identity,a1),divide(identity,a1)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f19,plain,
( identity != divide(divide(identity,a1),divide(identity,a1))
| spl0_3 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f20,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f7,f17,f13,f9]) ).
fof(f21,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(identity,X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f24,plain,
! [X0,X1] : divide(X0,divide(identity,divide(divide(identity,X0),divide(identity,X1)))) = X1,
inference(superposition,[],[f21,f4]) ).
fof(f25,plain,
! [X2,X3,X0,X1] : divide(X1,divide(X0,divide(divide(identity,X1),divide(divide(divide(identity,X0),X3),divide(divide(identity,divide(identity,X2)),X3))))) = X2,
inference(superposition,[],[f21,f21]) ).
fof(f28,plain,
! [X0,X1] : divide(X0,divide(divide(divide(identity,X1),divide(identity,X0)),identity)) = X1,
inference(superposition,[],[f21,f4]) ).
fof(f30,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f21,f4]) ).
fof(f31,plain,
! [X0,X1] : divide(X0,divide(divide(identity,X1),divide(identity,X0))) = X1,
inference(forward_demodulation,[],[f28,f30]) ).
fof(f42,plain,
! [X0,X1] : divide(X1,divide(X0,divide(identity,X1))) = divide(divide(identity,X0),divide(identity,identity)),
inference(superposition,[],[f31,f31]) ).
fof(f46,plain,
! [X0,X1] : divide(divide(divide(identity,X0),divide(identity,identity)),divide(divide(identity,X1),X0)) = X1,
inference(superposition,[],[f31,f31]) ).
fof(f47,plain,
! [X0] : divide(identity,divide(divide(identity,X0),identity)) = X0,
inference(superposition,[],[f31,f30]) ).
fof(f55,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f47,f30]) ).
fof(f56,plain,
! [X0,X1] : divide(divide(divide(identity,X0),identity),divide(divide(identity,X1),X0)) = X1,
inference(forward_demodulation,[],[f46,f4]) ).
fof(f59,plain,
! [X0,X1] : divide(divide(identity,X0),identity) = divide(X1,divide(X0,divide(identity,X1))),
inference(forward_demodulation,[],[f42,f4]) ).
fof(f66,plain,
! [X2,X3,X0,X1] : divide(X1,divide(X0,divide(divide(identity,X1),divide(divide(divide(identity,X0),X3),divide(X2,X3))))) = X2,
inference(backward_demodulation,[],[f25,f55]) ).
fof(f68,plain,
! [X0,X1] : divide(divide(identity,X0),divide(divide(identity,X1),X0)) = X1,
inference(forward_demodulation,[],[f56,f30]) ).
fof(f69,plain,
! [X0,X1] : divide(identity,X0) = divide(X1,divide(X0,divide(identity,X1))),
inference(forward_demodulation,[],[f59,f30]) ).
fof(f87,plain,
! [X0,X1] : divide(identity,X0) = divide(divide(identity,X1),divide(X0,X1)),
inference(superposition,[],[f68,f55]) ).
fof(f91,plain,
! [X0,X1] : divide(divide(identity,divide(divide(identity,X0),X1)),X0) = X1,
inference(superposition,[],[f68,f68]) ).
fof(f119,plain,
( ! [X0] : divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(X0,divide(b3,divide(identity,X0)))),divide(identity,c3))
| spl0_1 ),
inference(superposition,[],[f11,f69]) ).
fof(f154,plain,
! [X0,X1] : divide(identity,divide(identity,X1)) = divide(divide(identity,divide(X0,X1)),divide(identity,X0)),
inference(superposition,[],[f87,f87]) ).
fof(f161,plain,
! [X0,X1] : divide(divide(identity,divide(X0,X1)),divide(identity,X0)) = X1,
inference(forward_demodulation,[],[f154,f55]) ).
fof(f170,plain,
( ! [X0,X1] : divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(X1,divide(b3,divide(X0,divide(X1,divide(identity,X0)))))),divide(identity,c3))
| spl0_1 ),
inference(superposition,[],[f119,f69]) ).
fof(f422,plain,
! [X0,X1] : divide(identity,X0) = divide(X1,divide(identity,divide(divide(identity,X1),X0))),
inference(superposition,[],[f24,f55]) ).
fof(f431,plain,
! [X0,X1] : divide(divide(X1,X0),divide(identity,X0)) = X1,
inference(superposition,[],[f24,f161]) ).
fof(f462,plain,
! [X0,X1] : divide(divide(divide(identity,divide(identity,X1)),divide(identity,X0)),X0) = X1,
inference(superposition,[],[f31,f24]) ).
fof(f471,plain,
! [X0,X1] : divide(divide(X1,divide(identity,X0)),X0) = X1,
inference(forward_demodulation,[],[f462,f55]) ).
fof(f633,plain,
! [X0,X1] : divide(X0,X1) = divide(identity,divide(X1,X0)),
inference(superposition,[],[f471,f161]) ).
fof(f896,plain,
! [X2,X0,X1] : divide(identity,X2) = divide(divide(X0,X1),divide(X2,divide(X1,X0))),
inference(superposition,[],[f87,f633]) ).
fof(f907,plain,
! [X2,X0,X1] : divide(divide(X2,divide(X0,X1)),divide(X1,X0)) = X2,
inference(superposition,[],[f471,f633]) ).
fof(f1106,plain,
! [X2,X0,X1] : divide(X0,divide(X2,X1)) = divide(identity,divide(divide(identity,divide(X1,X2)),X0)),
inference(superposition,[],[f907,f91]) ).
fof(f1135,plain,
! [X2,X0,X1] : divide(X0,divide(X1,X2)) = divide(X0,divide(identity,divide(X2,X1))),
inference(superposition,[],[f431,f907]) ).
fof(f2083,plain,
! [X2,X0,X1] : divide(X1,X0) = divide(identity,divide(divide(identity,identity),divide(divide(divide(identity,divide(identity,X1)),X2),divide(X0,X2)))),
inference(superposition,[],[f422,f66]) ).
fof(f2157,plain,
! [X2,X0,X1] : divide(X1,X0) = divide(identity,divide(divide(identity,identity),divide(divide(X1,X2),divide(X0,X2)))),
inference(forward_demodulation,[],[f2083,f55]) ).
fof(f2248,plain,
! [X2,X0,X1] : divide(X1,X0) = divide(identity,divide(identity,divide(divide(X1,X2),divide(X0,X2)))),
inference(forward_demodulation,[],[f2157,f4]) ).
fof(f2312,plain,
! [X2,X0,X1] : divide(X1,X0) = divide(divide(X1,X2),divide(X0,X2)),
inference(forward_demodulation,[],[f2248,f55]) ).
fof(f2562,plain,
! [X2,X0,X1] : divide(X1,divide(identity,divide(X2,X0))) = divide(divide(X1,divide(identity,X2)),X0),
inference(superposition,[],[f2312,f161]) ).
fof(f2580,plain,
( ! [X0,X1] : divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(divide(X0,X1),divide(b3,divide(X1,divide(X0,identity))))),divide(identity,c3))
| spl0_1 ),
inference(superposition,[],[f170,f2312]) ).
fof(f2602,plain,
( ! [X0,X1] : divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(identity,divide(divide(identity,divide(c3,identity)),divide(a3,divide(divide(X0,X1),divide(b3,divide(X1,divide(X0,identity)))))))
| spl0_1 ),
inference(forward_demodulation,[],[f2580,f1106]) ).
fof(f2641,plain,
( ! [X0,X1] : divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(identity,divide(divide(identity,divide(c3,identity)),divide(a3,divide(divide(X0,X1),divide(b3,divide(X1,X0))))))
| spl0_1 ),
inference(forward_demodulation,[],[f2602,f30]) ).
fof(f2650,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(identity,divide(divide(identity,divide(c3,identity)),divide(a3,divide(identity,b3))))
| spl0_1 ),
inference(forward_demodulation,[],[f2641,f896]) ).
fof(f2654,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(identity,divide(c3,identity)))))
| spl0_1 ),
inference(forward_demodulation,[],[f2650,f1135]) ).
fof(f2657,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,divide(c3,identity)))
| spl0_1 ),
inference(forward_demodulation,[],[f2654,f55]) ).
fof(f2658,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| spl0_1 ),
inference(forward_demodulation,[],[f2657,f1135]) ).
fof(f2659,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f2658,f2562]) ).
fof(f2660,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f2659]) ).
fof(f2661,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f15,f55]) ).
fof(f2662,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f2661]) ).
fof(f2663,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f19,f4]) ).
fof(f2664,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f2663]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f20]) ).
cnf(s8,plain,
spl0_1,
inference(sat_conversion,[],[f2660]) ).
cnf(s9,plain,
spl0_2,
inference(sat_conversion,[],[f2662]) ).
cnf(s10,plain,
spl0_3,
inference(sat_conversion,[],[f2664]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s10,s9,s8]) ).
fof(f2665,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP068-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n026.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 09:20:41 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.44 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
% 4.91/1.63 % (2563990)Input is clausal, will run a generic CNF schedule.
% 4.91/1.63 % (2563999)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3963360572:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.91/1.63 % (2563998)lrs+10_1_sil=8000:sp=occurrence:random_seed=2002305300:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.91/1.63 % (2563995)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=170371930:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.91/1.63 % (2563996)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2098397792:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.91/1.63 % (2563997)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3756795847:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.91/1.63 % (2564000)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2754445487:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.91/1.63 % (2564001)dis-21_1_sil=8000:lcm=predicate:random_seed=1853628383:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.91/1.63 % (2563999)Instruction limit reached!
% 4.91/1.63 % (2563999)------------------------------
% 4.91/1.63 % (2563999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.91/1.63 % (2563999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/1.63 % (2563999)CaDiCaL version: 2.1.3
% 4.91/1.63 % (2563999)Termination reason: Instruction limit
% 4.91/1.63 % (2563999)Termination phase: Saturation
% 4.91/1.63 % (2563999)Time elapsed: 0.039 s
% 4.91/1.63 % (2563999)Peak memory usage: 89 MB
% 4.91/1.63 % (2563999)Instructions burned: 117 (million)
% 4.91/1.63 % (2564001)Refutation not found, incomplete strategy
% 4.91/1.63 % (2564001)------------------------------
% 4.91/1.63 % (2564001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.91/1.63 % (2564001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/1.63 % (2564001)CaDiCaL version: 2.1.3
% 4.91/1.63 % (2564001)Termination reason: Refutation not found, incomplete strategy
% 4.91/1.63 % (2564001)Time elapsed: 0.001 s
% 4.91/1.63 % (2564001)Peak memory usage: 88 MB
% 4.91/1.63 % (2564000)Instruction limit reached!
% 4.91/1.63 % (2564000)------------------------------
% 4.91/1.63 % (2564000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.91/1.63 % (2564000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/1.63 % (2564000)CaDiCaL version: 2.1.3
% 4.91/1.63 % (2564000)Termination reason: Instruction limit
% 4.91/1.63 % (2564000)Termination phase: Saturation
% 4.91/1.63 % (2564000)Time elapsed: 0.062 s
% 4.91/1.63 % (2564000)Peak memory usage: 90 MB
% 4.91/1.63 % (2564000)Instructions burned: 181 (million)
% 4.91/1.63 % (2563998)Instruction limit reached!
% 4.91/1.63 % (2563998)------------------------------
% 4.91/1.63 % (2563998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.91/1.63 % (2563998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/1.63 % (2563998)CaDiCaL version: 2.1.3
% 4.91/1.63 % (2563998)Termination reason: Instruction limit
% 4.91/1.63 % (2563998)Termination phase: Saturation
% 4.91/1.63 % (2563998)Time elapsed: 0.063 s
% 4.91/1.63 % (2563998)Peak memory usage: 89 MB
% 4.91/1.63 % (2563998)Instructions burned: 108 (million)
% 4.91/1.63 % (2564009)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1836102013:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.91/1.63 % (2564009)Refutation not found, incomplete strategy
% 4.91/1.63 % (2564009)------------------------------
% 4.91/1.63 % (2564009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.91/1.63 % (2564009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/1.63 % (2564009)CaDiCaL version: 2.1.3
% 4.91/1.63 % (2564009)Termination reason: Refutation not found, incomplete strategy
% 4.91/1.63 % (2564009)Time elapsed: 0.001 s
% 4.91/1.63 % (2564009)Peak memory usage: 88 MB
% 4.91/1.63 % (2564011)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2646478932:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.91/1.63 % (2564011)Refutation not found, incomplete strategy
% 4.91/1.63 % (2564011)------------------------------
% 4.91/1.63 % (2564011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.91/1.63 % (2564011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/1.63 % (2564011)CaDiCaL version: 2.1.3
% 4.91/1.63 % (2564011)Termination reason: Refutation not found, incomplete strategy
% 4.91/1.63 % (2564011)Time elapsed: 0.001 s
% 4.91/1.63 % (2564011)Peak memory usage: 88 MB
% 4.91/1.63 % (2564011)Instructions burned: 1 (million)
% 4.91/1.63 % (2564010)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3398707323:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.91/1.63 % (2564010)Refutation not found, incomplete strategy
% 4.91/1.63 % (2564010)------------------------------
% 4.91/1.63 % (2564010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.91/1.63 % (2564010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/1.63 % (2564010)CaDiCaL version: 2.1.3
% 4.91/1.63 % (2564010)Termination reason: Refutation not found, incomplete strategy
% 4.91/1.63 % (2564010)Time elapsed: 0.002 s
% 4.91/1.63 % (2564010)Peak memory usage: 88 MB
% 4.91/1.63 % (2564010)Instructions burned: 1 (million)
% 4.91/1.63 % (2564001)------------------------------
% 4.91/1.63 % (2564001)------------------------------
% 4.91/1.63 % (2564011)------------------------------
% 4.91/1.63 % (2564011)------------------------------
% 4.91/1.63 % (2564009)------------------------------
% 4.91/1.63 % (2564009)------------------------------
% 4.91/1.63 % (2564015)lrs+10_64_to=lpo:sil=8000:random_seed=1939412837:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 4.91/1.63 % (2564016)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3985529649:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.91/1.63 % (2564010)------------------------------
% 4.91/1.63 % (2564010)------------------------------
% 4.91/1.63 % (2564016)First to succeed.
% 4.91/1.63 % (2564016)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2563990"
% 4.91/1.63 % (2564015)Instruction limit reached!
% 4.91/1.63 % (2564015)------------------------------
% 4.91/1.63 % (2564015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.91/1.63 % (2564015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/1.63 % (2564015)CaDiCaL version: 2.1.3
% 4.91/1.63 % (2564015)Termination reason: Instruction limit
% 4.91/1.63 % (2564015)Termination phase: Saturation
% 4.91/1.63 % (2564015)Time elapsed: 0.075 s
% 4.91/1.63 % (2564015)Peak memory usage: 88 MB
% 4.91/1.63 % (2564015)Instructions burned: 127 (million)
% 4.91/1.63 % (2564017)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3825298527:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 4.91/1.63 % (2564020)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2142921022:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 4.91/1.63 % (2564017)Instruction limit reached!
% 4.91/1.63 % (2564017)------------------------------
% 4.91/1.63 % (2564017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.91/1.63 % (2564017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/1.63 % (2564017)CaDiCaL version: 2.1.3
% 4.91/1.63 % (2564017)Termination reason: Instruction limit
% 4.91/1.63 % (2564017)Termination phase: Saturation
% 4.91/1.63 % (2564017)Time elapsed: 0.089 s
% 4.91/1.63 % (2564017)Peak memory usage: 90 MB
% 4.91/1.63 % (2564017)Instructions burned: 158 (million)
% 4.91/1.63 % (2564016)Refutation found. Thanks to Tanya!
% 4.91/1.63 % SZS status Unsatisfiable for theBenchmark
% 4.91/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 5.88/1.73 % (2564016)------------------------------
% 5.88/1.73 % (2564016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.73 % (2564016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.73 % (2564016)CaDiCaL version: 2.1.3
% 5.88/1.73 % (2564016)Termination reason: Refutation
% 5.88/1.73 % (2564016)Time elapsed: 0.041 s
% 5.88/1.73 % (2564016)Peak memory usage: 90 MB
% 5.88/1.73 % (2564016)Instructions burned: 133 (million)
% 5.88/1.73 % (2564016)------------------------------
% 5.88/1.73 % (2564016)------------------------------
% 5.88/1.73 % (2563990)Success in time 0.755 s
% 5.88/1.73 % Vampire exiting
%------------------------------------------------------------------------------