%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO012-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:35:52 AM UTC 2026
% Result : Unsatisfiable 0.25s 2.03s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 53 ( 38 unt; 2 def)
% Number of atoms : 82 ( 31 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 61 ( 32 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 93 ( 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiplication) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X5,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| ~ sum(X0,X3,X5)
| ~ sum(X2,X4,X6)
| product(X5,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4) ).
fof(f17,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f19,axiom,
! [X0] : product(inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f22,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f25,axiom,
! [X0] : sum(X0,multiplicative_identity,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_plus_multiplicative_identity) ).
fof(f29,axiom,
! [X0,X1] : sum(X0,multiply(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_and_multiply) ).
fof(f35,negated_conjecture,
inverse(inverse(x)) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_is_an_involution) ).
fof(f36,plain,
x != inverse(inverse(x)),
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF0 = inverse(x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f38,plain,
inverse(x) = sF0,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF1 = inverse(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f40,plain,
inverse(sF0) = sF1,
inference(reorient_equations,[],[f39]) ).
fof(f41,plain,
x != sF1,
inference(definition_folding,[],[f36,f40,f38]) ).
fof(f45,plain,
sum(sF1,sF0,multiplicative_identity),
inference(superposition,[],[f17,f40]) ).
fof(f53,plain,
sum(x,sF0,multiplicative_identity),
inference(superposition,[],[f18,f38]) ).
fof(f69,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f21]) ).
fof(f74,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f2,f4]) ).
fof(f77,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f7,f22]) ).
fof(f127,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(resolution,[],[f77,f2]) ).
fof(f128,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(resolution,[],[f77,f74]) ).
fof(f171,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,multiply(X3,X1),X5)
| ~ sum(X0,X3,X4)
| ~ product(X0,X1,X2)
| product(X4,X1,X5) ),
inference(resolution,[],[f12,f2]) ).
fof(f178,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X3,X4)
| ~ sum(X0,X1,X2)
| product(X2,X3,add(X4,multiply(X1,X3))) ),
inference(resolution,[],[f171,f1]) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( product(X2,X3,add(multiply(X0,X3),multiply(X1,X3)))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f178,f2]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,multiplicative_identity)
| add(multiply(X0,X2),multiply(X1,X2)) = X2 ),
inference(resolution,[],[f224,f77]) ).
fof(f455,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(multiplicative_identity,X1)) = X1,
inference(resolution,[],[f249,f25]) ).
fof(f460,plain,
! [X0] : add(multiply(sF1,X0),multiply(sF0,X0)) = X0,
inference(resolution,[],[f249,f45]) ).
fof(f462,plain,
! [X0,X1] : add(multiply(multiplicative_identity,X0),multiply(multiply(multiplicative_identity,X1),X0)) = X0,
inference(resolution,[],[f249,f29]) ).
fof(f469,plain,
! [X0,X1] : add(multiply(multiplicative_identity,X0),multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f462,f127]) ).
fof(f471,plain,
! [X0,X1] : add(multiply(X0,X1),X1) = X1,
inference(forward_demodulation,[],[f455,f127]) ).
fof(f474,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f469,f127]) ).
fof(f628,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X5)
| ~ sum(X3,X1,X4)
| ~ product(X0,X1,X2)
| sum(X5,X2,multiply(X0,X4)) ),
inference(resolution,[],[f9,f2]) ).
fof(f651,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),X4,multiply(X3,X2)) ),
inference(resolution,[],[f628,f2]) ).
fof(f681,plain,
! [X2,X0,X1] :
( sum(multiply(inverse(X1),X0),additive_identity,multiply(inverse(X1),X2))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f651,f19]) ).
fof(f1237,plain,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| multiply(inverse(X0),X1) = multiply(inverse(X0),X2) ),
inference(resolution,[],[f69,f681]) ).
fof(f1249,plain,
! [X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(X0),add(X1,X0)),
inference(resolution,[],[f1237,f1]) ).
fof(f1262,plain,
multiply(inverse(sF0),x) = multiply(inverse(sF0),multiplicative_identity),
inference(resolution,[],[f1237,f53]) ).
fof(f1269,plain,
inverse(sF0) = multiply(inverse(sF0),x),
inference(forward_demodulation,[],[f1262,f128]) ).
fof(f1279,plain,
sF1 = multiply(sF1,x),
inference(forward_demodulation,[],[f1269,f40]) ).
fof(f1289,plain,
x = add(sF1,multiply(sF0,x)),
inference(superposition,[],[f460,f1279]) ).
fof(f1307,plain,
x = add(sF1,x),
inference(superposition,[],[f471,f1279]) ).
fof(f1510,plain,
multiply(inverse(x),sF1) = multiply(inverse(x),x),
inference(superposition,[],[f1249,f1307]) ).
fof(f1511,plain,
multiply(sF0,sF1) = multiply(sF0,x),
inference(forward_demodulation,[],[f1510,f38]) ).
fof(f1701,plain,
sF1 = add(sF1,multiply(sF0,x)),
inference(superposition,[],[f474,f1511]) ).
fof(f1720,plain,
x = sF1,
inference(forward_demodulation,[],[f1701,f1289]) ).
fof(f1728,plain,
$false,
inference(forward_subsumption_resolution,[],[f1720,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO012-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n018.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 21:06:11 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.27 Running first-order theorem proving
% 0.09/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.31/1.84 % (3786105)Input is clausal, will run a generic CNF schedule.
% 6.31/1.84 % (3786124)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1310273925:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.31/1.84 % (3786124)Instruction limit reached!
% 6.31/1.84 % (3786124)------------------------------
% 6.31/1.84 % (3786124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.84 % (3786124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.84 % (3786124)CaDiCaL version: 2.1.3
% 6.31/1.84 % (3786124)Termination reason: Instruction limit
% 6.31/1.84 % (3786124)Termination phase: Saturation
% 6.31/1.84 % (3786124)Time elapsed: 0.037 s
% 6.31/1.84 % (3786124)Peak memory usage: 88 MB
% 6.31/1.84 % (3786124)Instructions burned: 114 (million)
% 6.31/1.84 % (3786126)dis-21_1_sil=8000:lcm=predicate:random_seed=2843587184: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)
% 6.31/1.84 % (3786120)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=1163268556:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.31/1.84 % (3786122)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2471754042:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.31/1.84 % (3786121)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3253512175:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.31/1.84 % (3786123)lrs+10_1_sil=8000:sp=occurrence:random_seed=1172083511:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.31/1.84 % (3786125)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3335989814:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.31/1.84 % (3786126)Instruction limit reached!
% 6.31/1.84 % (3786126)------------------------------
% 6.31/1.84 % (3786126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.84 % (3786126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.84 % (3786126)CaDiCaL version: 2.1.3
% 6.31/1.84 % (3786126)Termination reason: Instruction limit
% 6.31/1.84 % (3786126)Termination phase: Saturation
% 6.31/1.84 % (3786126)Time elapsed: 0.066 s
% 6.31/1.84 % (3786126)Peak memory usage: 89 MB
% 6.31/1.84 % (3786126)Instructions burned: 117 (million)
% 6.31/1.84 % (3786123)Instruction limit reached!
% 6.31/1.84 % (3786123)------------------------------
% 6.31/1.84 % (3786123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.84 % (3786123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.84 % (3786123)CaDiCaL version: 2.1.3
% 6.31/1.84 % (3786123)Termination reason: Instruction limit
% 6.31/1.84 % (3786123)Termination phase: Saturation
% 6.31/1.84 % (3786123)Time elapsed: 0.068 s
% 6.31/1.84 % (3786123)Peak memory usage: 88 MB
% 6.31/1.84 % (3786123)Instructions burned: 107 (million)
% 6.31/1.84 % (3786152)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=457738026:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.31/1.84 % (3786152)Refutation not found, incomplete strategy
% 6.31/1.84 % (3786152)------------------------------
% 6.31/1.84 % (3786152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.84 % (3786152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.84 % (3786152)CaDiCaL version: 2.1.3
% 6.31/1.84 % (3786152)Termination reason: Refutation not found, incomplete strategy
% 6.31/1.84 % (3786152)Time elapsed: 0.001 s
% 6.31/1.84 % (3786152)Peak memory usage: 88 MB
% 6.31/1.84 % (3786152)Instructions burned: 1 (million)
% 6.31/1.84 % (3786125)Instruction limit reached!
% 6.31/1.84 % (3786125)------------------------------
% 6.31/1.84 % (3786125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.84 % (3786125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.84 % (3786125)CaDiCaL version: 2.1.3
% 6.31/1.84 % (3786125)Termination reason: Instruction limit
% 6.31/1.84 % (3786125)Termination phase: Saturation
% 6.31/1.84 % (3786125)Time elapsed: 0.110 s
% 6.31/1.84 % (3786125)Peak memory usage: 89 MB
% 6.31/1.84 % (3786125)Instructions burned: 181 (million)
% 6.31/1.84 % (3786184)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=71445528:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 6.31/1.84 % (3786189)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=404042162:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.31/1.84 % (3786189)Refutation not found, incomplete strategy
% 6.31/1.84 % (3786189)------------------------------
% 6.31/1.84 % (3786189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.84 % (3786189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.84 % (3786189)CaDiCaL version: 2.1.3
% 6.31/1.84 % (3786189)Termination reason: Refutation not found, incomplete strategy
% 6.31/1.84 % (3786189)Time elapsed: 0.001 s
% 6.31/1.84 % (3786189)Peak memory usage: 87 MB
% 6.31/1.84 % (3786189)Instructions burned: 1 (million)
% 6.31/1.84 % (3786152)------------------------------
% 6.31/1.84 % (3786152)------------------------------
% 6.31/1.84 % (3786209)lrs+10_64_to=lpo:sil=8000:random_seed=3448178972:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.31/1.84 % (3786184)Instruction limit reached!
% 6.31/1.84 % (3786184)------------------------------
% 6.31/1.84 % (3786184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.84 % (3786184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.84 % (3786184)CaDiCaL version: 2.1.3
% 6.31/1.84 % (3786184)Termination reason: Instruction limit
% 6.31/1.84 % (3786184)Termination phase: Saturation
% 6.31/1.84 % (3786184)Time elapsed: 0.094 s
% 6.31/1.84 % (3786184)Peak memory usage: 89 MB
% 6.31/1.84 % (3786184)Instructions burned: 190 (million)
% 6.31/1.84 % (3786209)Instruction limit reached!
% 6.31/1.84 % (3786209)------------------------------
% 6.31/1.84 % (3786209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.84 % (3786209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.84 % (3786209)CaDiCaL version: 2.1.3
% 6.31/1.84 % (3786209)Termination reason: Instruction limit
% 6.31/1.84 % (3786209)Termination phase: Saturation
% 6.31/1.84 % (3786209)Time elapsed: 0.074 s
% 6.31/1.84 % (3786209)Peak memory usage: 88 MB
% 6.31/1.84 % (3786209)Instructions burned: 126 (million)
% 6.31/1.84 % (3786247)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3312186444:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.31/1.84 % (3786247)Instruction limit reached!
% 6.31/1.84 % (3786247)------------------------------
% 6.31/1.84 % (3786247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.84 % (3786247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.84 % (3786247)CaDiCaL version: 2.1.3
% 6.31/1.84 % (3786247)Termination reason: Instruction limit
% 6.31/1.84 % (3786247)Termination phase: Saturation
% 6.31/1.84 % (3786247)Time elapsed: 0.069 s
% 6.31/1.84 % (3786247)Peak memory usage: 89 MB
% 6.31/1.84 % (3786247)Instructions burned: 196 (million)
% 6.31/1.84 % (3786248)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=699116824:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.31/1.84 % (3786249)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2306268199:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.31/1.84 % (3786189)------------------------------
% 6.31/1.84 % (3786189)------------------------------
% 6.31/1.84 % (3786248)Instruction limit reached!
% 6.31/1.84 % (3786248)------------------------------
% 6.31/1.84 % (3786248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.84 % (3786248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.84 % (3786248)CaDiCaL version: 2.1.3
% 6.31/1.84 % (3786248)Termination reason: Instruction limit
% 6.31/1.84 % (3786248)Termination phase: Saturation
% 6.31/1.84 % (3786248)Time elapsed: 0.096 s
% 6.31/1.84 % (3786248)Peak memory usage: 89 MB
% 6.31/1.84 % (3786248)Instructions burned: 157 (million)
% 6.31/1.84 % (3786279)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=4256821500:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.31/1.84 % (3786301)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=797514491:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 0.25/2.03 % (3786301)Refutation not found, incomplete strategy
% 0.25/2.03 % (3786301)------------------------------
% 0.25/2.03 % (3786301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/2.03 % (3786301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/2.03 % (3786301)CaDiCaL version: 2.1.3
% 0.25/2.03 % (3786301)Termination reason: Refutation not found, incomplete strategy
% 0.25/2.03 % (3786301)Time elapsed: 0.001 s
% 0.25/2.03 % (3786301)Peak memory usage: 87 MB
% 0.25/2.03 % (3786301)Instructions burned: 1 (million)
% 0.25/2.03 % (3786279)Instruction limit reached!
% 0.25/2.03 % (3786279)------------------------------
% 0.25/2.03 % (3786279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/2.03 % (3786279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/2.03 % (3786279)CaDiCaL version: 2.1.3
% 0.25/2.03 % (3786279)Termination reason: Instruction limit
% 0.25/2.03 % (3786279)Termination phase: Saturation
% 0.25/2.03 % (3786279)Time elapsed: 0.059 s
% 0.25/2.03 % (3786279)Peak memory usage: 89 MB
% 0.25/2.03 % (3786279)Instructions burned: 107 (million)
% 0.25/2.03 % (3786302)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3100642321:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 0.25/2.03 % (3786120)First to succeed.
% 0.25/2.03 % (3786120)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3786105"
% 0.25/2.03 % (3786305)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2769771748:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 0.25/2.03 % (3786302)Instruction limit reached!
% 0.25/2.03 % (3786302)------------------------------
% 0.25/2.03 % (3786302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/2.03 % (3786302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/2.03 % (3786302)CaDiCaL version: 2.1.3
% 0.25/2.03 % (3786302)Termination reason: Instruction limit
% 0.25/2.03 % (3786302)Termination phase: Saturation
% 0.25/2.03 % (3786302)Time elapsed: 0.142 s
% 0.25/2.03 % (3786302)Peak memory usage: 89 MB
% 0.25/2.03 % (3786302)Instructions burned: 243 (million)
% 0.25/2.03 % (3786301)------------------------------
% 0.25/2.03 % (3786301)------------------------------
% 0.25/2.03 % (3786120)Refutation found. Thanks to Tanya!
% 0.25/2.03 % SZS status Unsatisfiable for theBenchmark
% 0.25/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/2.03 % (3786120)------------------------------
% 0.25/2.03 % (3786120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/2.03 % (3786120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/2.03 % (3786120)CaDiCaL version: 2.1.3
% 0.25/2.03 % (3786120)Termination reason: Refutation
% 0.25/2.03 % (3786120)Time elapsed: 0.707 s
% 0.25/2.03 % (3786120)Peak memory usage: 131 MB
% 0.25/2.03 % (3786120)Instructions burned: 1295 (million)
% 0.25/2.03 % (3786120)------------------------------
% 0.25/2.03 % (3786120)------------------------------
% 0.25/2.03 % (3786105)Success in time 0.993 s
% 0.25/2.03 % Vampire exiting
%------------------------------------------------------------------------------