%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP064-1 : 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 : 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 10:12:29 AM UTC 2026
% Result : Unsatisfiable 7.23s 2.08s
% Output : Refutation 7.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 4
% Syntax : Number of formulae : 60 ( 58 unt; 0 def)
% Number of atoms : 64 ( 63 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 151 ( 151 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(divide(divide(X1,X1),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,plain,
! [X0,X1] : divide(divide(X1,X1),X0) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,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(f6,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f4]) ).
fof(f8,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f9,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f8,f4]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : divide(X1,divide(X0,divide(inverse(X1),divide(divide(inverse(X0),X3),divide(inverse(inverse(X2)),X3))))) = X2,
inference(superposition,[],[f9,f9]) ).
fof(f17,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f4,f4]) ).
fof(f20,plain,
! [X0,X1] : divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(superposition,[],[f9,f4]) ).
fof(f23,plain,
! [X0,X1] : multiply(X0,divide(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[],[f20,f7]) ).
fof(f24,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f23,f7]) ).
fof(f25,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),X0) = multiply(X1,X0),
inference(superposition,[],[f24,f24]) ).
fof(f33,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(superposition,[],[f10,f9]) ).
fof(f54,plain,
! [X0,X1] : divide(X1,inverse(divide(X0,X0))) = X1,
inference(superposition,[],[f33,f4]) ).
fof(f61,plain,
! [X0,X1] : divide(X1,divide(inverse(X0),inverse(X1))) = X0,
inference(superposition,[],[f9,f33]) ).
fof(f66,plain,
! [X0,X1] : divide(X1,multiply(inverse(X0),X1)) = X0,
inference(forward_demodulation,[],[f61,f7]) ).
fof(f72,plain,
! [X0,X1] : multiply(X1,divide(X0,X0)) = X1,
inference(forward_demodulation,[],[f54,f7]) ).
fof(f83,plain,
! [X0,X1] : inverse(multiply(inverse(X0),divide(X1,X1))) = X0,
inference(superposition,[],[f4,f66]) ).
fof(f84,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f83,f72]) ).
fof(f88,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = divide(X1,X0),
inference(superposition,[],[f7,f84]) ).
fof(f95,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X0,X1)),
inference(superposition,[],[f66,f84]) ).
fof(f103,plain,
! [X2,X0,X1] : divide(X1,divide(inverse(X0),divide(inverse(X1),multiply(X0,inverse(X2))))) = X2,
inference(superposition,[],[f9,f95]) ).
fof(f108,plain,
! [X2,X0,X1] : divide(X1,divide(inverse(X0),divide(inverse(X1),divide(X0,X2)))) = X2,
inference(forward_demodulation,[],[f103,f88]) ).
fof(f117,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(X0),X3),divide(inverse(X2),X3)) = divide(X1,divide(inverse(X2),divide(inverse(X1),X0))),
inference(superposition,[],[f108,f9]) ).
fof(f119,plain,
! [X2,X3,X0,X1] : divide(X1,divide(inverse(X2),divide(inverse(X1),X0))) = divide(inverse(X3),divide(inverse(X2),divide(X3,X0))),
inference(superposition,[],[f108,f108]) ).
fof(f120,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(X1,divide(inverse(X0),divide(inverse(X1),X0))),
inference(superposition,[],[f108,f33]) ).
fof(f122,plain,
! [X2,X0,X1] : multiply(inverse(X0),X2) = divide(X1,divide(inverse(X2),divide(inverse(X1),X0))),
inference(superposition,[],[f108,f66]) ).
fof(f125,plain,
! [X2,X0,X1] : divide(inverse(inverse(X1)),X2) = divide(X1,divide(inverse(divide(inverse(X0),X2)),X0)),
inference(superposition,[],[f108,f9]) ).
fof(f144,plain,
! [X2,X0,X1] : divide(X1,X2) = divide(X1,divide(inverse(divide(inverse(X0),X2)),X0)),
inference(forward_demodulation,[],[f125,f84]) ).
fof(f148,plain,
! [X2,X0] : divide(X2,X2) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f120,f122]) ).
fof(f149,plain,
! [X2,X3,X0] : multiply(inverse(X0),X2) = divide(inverse(X3),divide(inverse(X2),divide(X3,X0))),
inference(forward_demodulation,[],[f119,f122]) ).
fof(f151,plain,
! [X2,X3,X0] : multiply(inverse(X0),X2) = divide(divide(inverse(X0),X3),divide(inverse(X2),X3)),
inference(forward_demodulation,[],[f117,f122]) ).
fof(f181,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(divide(inverse(X1),inverse(X0))),
inference(superposition,[],[f4,f151]) ).
fof(f187,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(forward_demodulation,[],[f181,f7]) ).
fof(f233,plain,
! [X2,X0,X1] : divide(X1,divide(inverse(X2),divide(inverse(X1),multiply(inverse(X0),X0)))) = X2,
inference(superposition,[],[f108,f148]) ).
fof(f235,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f7,f148]) ).
fof(f240,plain,
! [X2,X0] : multiply(inverse(multiply(inverse(X0),X0)),X2) = X2,
inference(forward_demodulation,[],[f233,f122]) ).
fof(f249,plain,
! [X2,X0] : multiply(multiply(inverse(X0),X0),X2) = X2,
inference(forward_demodulation,[],[f240,f187]) ).
fof(f269,plain,
! [X2,X0,X1] : divide(inverse(X0),divide(inverse(X2),multiply(X0,X1))) = multiply(inverse(inverse(X1)),X2),
inference(superposition,[],[f149,f7]) ).
fof(f296,plain,
! [X2,X0,X1] : divide(inverse(X0),divide(inverse(X2),multiply(X0,X1))) = multiply(X1,X2),
inference(forward_demodulation,[],[f269,f25]) ).
fof(f331,plain,
! [X2,X0] : multiply(divide(X0,X0),X2) = X2,
inference(superposition,[],[f249,f148]) ).
fof(f544,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(inverse(X3),X1)),X3) = divide(X2,divide(inverse(X0),divide(inverse(X2),divide(X0,X1)))),
inference(superposition,[],[f108,f144]) ).
fof(f571,plain,
! [X3,X1] : divide(inverse(divide(inverse(X3),X1)),X3) = X1,
inference(forward_demodulation,[],[f544,f108]) ).
fof(f744,plain,
! [X2,X0,X1] : multiply(X0,X2) = divide(inverse(divide(X1,X1)),divide(inverse(X2),X0)),
inference(superposition,[],[f296,f331]) ).
fof(f748,plain,
! [X2,X0] : multiply(X0,X2) = inverse(divide(inverse(X2),X0)),
inference(forward_demodulation,[],[f744,f17]) ).
fof(f773,plain,
! [X2,X0,X1] : divide(inverse(X2),X0) = divide(X1,divide(X0,divide(inverse(X1),X2))),
inference(superposition,[],[f9,f571]) ).
fof(f776,plain,
! [X2,X0,X1] : multiply(inverse(divide(inverse(X1),X0)),X2) = divide(X0,divide(inverse(X2),X1)),
inference(superposition,[],[f151,f571]) ).
fof(f795,plain,
! [X2,X0,X1] : divide(X0,divide(inverse(X2),X1)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f776,f748]) ).
fof(f855,plain,
! [X2,X0,X1] : divide(X1,inverse(X0)) = multiply(multiply(X1,multiply(X0,inverse(X2))),X2),
inference(superposition,[],[f795,f95]) ).
fof(f940,plain,
! [X2,X0,X1] : divide(X1,inverse(X0)) = multiply(multiply(X1,divide(X0,X2)),X2),
inference(forward_demodulation,[],[f855,f88]) ).
fof(f977,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(multiply(X1,divide(X0,X2)),X2),
inference(forward_demodulation,[],[f940,f7]) ).
fof(f1103,plain,
! [X2,X3,X0,X1] : divide(X2,divide(inverse(X0),X1)) = multiply(multiply(X2,divide(X1,divide(inverse(inverse(X3)),X0))),X3),
inference(superposition,[],[f795,f773]) ).
fof(f1106,plain,
! [X2,X3,X0,X1] : divide(X2,divide(inverse(X0),X1)) = multiply(multiply(X2,multiply(multiply(X1,X0),inverse(X3))),X3),
inference(forward_demodulation,[],[f1103,f795]) ).
fof(f1163,plain,
! [X2,X3,X0,X1] : divide(X2,divide(inverse(X0),X1)) = multiply(multiply(X2,divide(multiply(X1,X0),X3)),X3),
inference(forward_demodulation,[],[f1106,f88]) ).
fof(f1208,plain,
! [X2,X0,X1] : divide(X2,divide(inverse(X0),X1)) = multiply(X2,multiply(X1,X0)),
inference(forward_demodulation,[],[f1163,f977]) ).
fof(f1446,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[],[f795,f1208]) ).
fof(f1652,plain,
$false,
inference(unit_resulting_resolution,[],[f6,f249,f235,f1446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP064-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n007.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 27 09:15:40 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.50 Running first-order theorem proving
% 0.24/0.50 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
% 5.89/1.88 % (1145836)Input is clausal, will run a generic CNF schedule.
% 5.89/1.88 % (1145844)lrs+10_1_sil=8000:sp=occurrence:random_seed=2049784522:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.89/1.88 % (1145846)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4102903502:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.89/1.88 % (1145841)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=1989478365:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.89/1.88 % (1145842)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=308996646:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.89/1.88 % (1145843)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1560339773:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.89/1.88 % (1145844)Instruction limit reached!
% 5.89/1.88 % (1145844)------------------------------
% 5.89/1.88 % (1145844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.88 % (1145844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.88 % (1145844)CaDiCaL version: 2.1.3
% 5.89/1.88 % (1145844)Termination reason: Instruction limit
% 5.89/1.88 % (1145844)Termination phase: Saturation
% 5.89/1.88 % (1145844)Time elapsed: 0.035 s
% 5.89/1.88 % (1145844)Peak memory usage: 89 MB
% 5.89/1.88 % (1145844)Instructions burned: 109 (million)
% 5.89/1.88 % (1145847)dis-21_1_sil=8000:lcm=predicate:random_seed=1967675744: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)
% 5.89/1.88 % (1145847)Refutation not found, incomplete strategy
% 5.89/1.88 % (1145847)------------------------------
% 5.89/1.88 % (1145847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.88 % (1145847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.88 % (1145847)CaDiCaL version: 2.1.3
% 5.89/1.88 % (1145847)Termination reason: Refutation not found, incomplete strategy
% 5.89/1.88 % (1145847)Time elapsed: 0.001 s
% 5.89/1.88 % (1145847)Peak memory usage: 88 MB
% 5.89/1.88 % (1145845)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1186500018:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.89/1.88 % (1145853)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=271080766:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.89/1.88 % (1145853)Refutation not found, incomplete strategy
% 5.89/1.88 % (1145853)------------------------------
% 5.89/1.88 % (1145853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.88 % (1145853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.88 % (1145853)CaDiCaL version: 2.1.3
% 5.89/1.88 % (1145853)Termination reason: Refutation not found, incomplete strategy
% 5.89/1.88 % (1145853)Time elapsed: 0.0000 s
% 5.89/1.88 % (1145853)Peak memory usage: 88 MB
% 5.89/1.88 % (1145846)Instruction limit reached!
% 5.89/1.88 % (1145846)------------------------------
% 5.89/1.88 % (1145846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.88 % (1145846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.88 % (1145846)CaDiCaL version: 2.1.3
% 5.89/1.88 % (1145846)Termination reason: Instruction limit
% 5.89/1.88 % (1145846)Termination phase: Saturation
% 5.89/1.88 % (1145846)Time elapsed: 0.102 s
% 5.89/1.88 % (1145846)Peak memory usage: 90 MB
% 5.89/1.88 % (1145846)Instructions burned: 181 (million)
% 5.89/1.88 % (1145845)Instruction limit reached!
% 5.89/1.88 % (1145845)------------------------------
% 5.89/1.88 % (1145845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.88 % (1145845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.88 % (1145845)CaDiCaL version: 2.1.3
% 5.89/1.88 % (1145845)Termination reason: Instruction limit
% 5.89/1.88 % (1145845)Termination phase: Saturation
% 5.89/1.88 % (1145845)Time elapsed: 0.073 s
% 5.89/1.88 % (1145845)Peak memory usage: 89 MB
% 5.89/1.88 % (1145845)Instructions burned: 115 (million)
% 5.89/1.88 % (1145857)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4293778087: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)
% 5.89/1.88 % (1145858)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1024062250:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.89/1.88 % (1145853)------------------------------
% 5.89/1.88 % (1145853)------------------------------
% 5.89/1.88 % (1145857)Refutation not found, incomplete strategy
% 5.89/1.88 % (1145857)------------------------------
% 5.89/1.88 % (1145857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.88 % (1145857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.88 % (1145857)CaDiCaL version: 2.1.3
% 5.89/1.88 % (1145857)Termination reason: Refutation not found, incomplete strategy
% 5.89/1.88 % (1145857)Time elapsed: 0.021 s
% 5.89/1.88 % (1145857)Peak memory usage: 88 MB
% 5.89/1.88 % (1145857)Instructions burned: 34 (million)
% 5.89/1.88 % (1145858)Refutation not found, incomplete strategy
% 5.89/1.88 % (1145858)------------------------------
% 5.89/1.88 % (1145858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.88 % (1145858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.88 % (1145858)CaDiCaL version: 2.1.3
% 5.89/1.88 % (1145858)Termination reason: Refutation not found, incomplete strategy
% 5.89/1.88 % (1145858)Time elapsed: 0.017 s
% 5.89/1.88 % (1145858)Peak memory usage: 88 MB
% 5.89/1.88 % (1145858)Instructions burned: 29 (million)
% 5.89/1.88 % (1145847)------------------------------
% 5.89/1.88 % (1145847)------------------------------
% 5.89/1.88 % (1145861)lrs+10_64_to=lpo:sil=8000:random_seed=1663687566:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.89/1.88 % (1145861)Instruction limit reached!
% 5.89/1.88 % (1145861)------------------------------
% 5.89/1.88 % (1145861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.88 % (1145861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.88 % (1145861)CaDiCaL version: 2.1.3
% 5.89/1.88 % (1145861)Termination reason: Instruction limit
% 5.89/1.88 % (1145861)Termination phase: Saturation
% 5.89/1.88 % (1145861)Time elapsed: 0.039 s
% 5.89/1.88 % (1145861)Peak memory usage: 89 MB
% 5.89/1.88 % (1145861)Instructions burned: 128 (million)
% 5.89/1.88 % (1145862)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1188094214:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.89/1.88 % (1145864)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1808400603:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.89/1.88 % (1145857)------------------------------
% 5.89/1.88 % (1145857)------------------------------
% 5.89/1.88 % (1145862)Instruction limit reached!
% 5.89/1.88 % (1145862)------------------------------
% 5.89/1.88 % (1145862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.88 % (1145862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.88 % (1145862)CaDiCaL version: 2.1.3
% 5.89/1.88 % (1145862)Termination reason: Instruction limit
% 5.89/1.88 % (1145862)Termination phase: Saturation
% 5.89/1.88 % (1145862)Time elapsed: 0.111 s
% 5.89/1.88 % (1145862)Peak memory usage: 90 MB
% 5.89/1.88 % (1145862)Instructions burned: 196 (million)
% 5.89/1.88 % (1145864)Instruction limit reached!
% 5.89/1.88 % (1145864)------------------------------
% 5.89/1.88 % (1145864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.89/1.88 % (1145864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.88 % (1145864)CaDiCaL version: 2.1.3
% 5.89/1.88 % (1145864)Termination reason: Instruction limit
% 5.89/1.88 % (1145864)Termination phase: Saturation
% 5.89/1.88 % (1145864)Time elapsed: 0.050 s
% 5.89/1.88 % (1145864)Peak memory usage: 91 MB
% 5.89/1.88 % (1145864)Instructions burned: 160 (million)
% 5.89/1.88 % (1145858)------------------------------
% 5.89/1.88 % (1145858)------------------------------
% 5.89/1.88 % (1145870)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1165441502:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.89/1.88 % (1145876)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2589789337:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.89/1.88 % (1145842)First to succeed.
% 5.89/1.88 % (1145842)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1145836"
% 7.23/2.08 % (1145881)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1096113685:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.23/2.08 % (1145881)Refutation not found, incomplete strategy
% 7.23/2.08 % (1145881)------------------------------
% 7.23/2.08 % (1145881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.23/2.08 % (1145881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/2.08 % (1145881)CaDiCaL version: 2.1.3
% 7.23/2.08 % (1145881)Termination reason: Refutation not found, incomplete strategy
% 7.23/2.08 % (1145881)Time elapsed: 0.001 s
% 7.23/2.08 % (1145881)Peak memory usage: 88 MB
% 7.23/2.08 % (1145892)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3468177927:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.23/2.08 % (1145876)Instruction limit reached!
% 7.23/2.08 % (1145876)------------------------------
% 7.23/2.08 % (1145876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.23/2.08 % (1145876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/2.08 % (1145876)CaDiCaL version: 2.1.3
% 7.23/2.08 % (1145876)Termination reason: Instruction limit
% 7.23/2.08 % (1145876)Termination phase: Saturation
% 7.23/2.08 % (1145876)Time elapsed: 0.064 s
% 7.23/2.08 % (1145876)Peak memory usage: 89 MB
% 7.23/2.08 % (1145876)Instructions burned: 108 (million)
% 7.23/2.08 % (1145843)Also succeeded, but the first one will report.
% 7.23/2.08 % (1145841)Also succeeded, but the first one will report.
% 7.23/2.08 % (1145842)Refutation found. Thanks to Tanya!
% 7.23/2.08 % SZS status Unsatisfiable for theBenchmark
% 7.23/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 7.23/2.08 % (1145842)------------------------------
% 7.23/2.08 % (1145842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.23/2.08 % (1145842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/2.08 % (1145842)CaDiCaL version: 2.1.3
% 7.23/2.08 % (1145842)Termination reason: Refutation
% 7.23/2.08 % (1145842)Time elapsed: 0.617 s
% 7.23/2.08 % (1145842)Peak memory usage: 128 MB
% 7.23/2.08 % (1145842)Instructions burned: 1055 (million)
% 7.23/2.08 % (1145842)------------------------------
% 7.23/2.08 % (1145842)------------------------------
% 7.23/2.08 % (1145836)Success in time 0.932 s
% 7.23/2.08 % Vampire exiting
%------------------------------------------------------------------------------