%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD041-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 09:49:09 AM UTC 2026
% Result : Unsatisfiable 8.00s 1.71s
% Output : Refutation 8.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 27 ( 17 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X1,X5)
| ~ sum(X3,X4,X0)
| sum(X0,X1,X2)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X1,X5)
| ~ product(X3,X4,X0)
| product(X0,X1,X2)
| ~ product(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X5,X6,X2)
| ~ sum(X3,X4,X5)
| sum(X0,X1,X2)
| ~ product(X3,X6,X0)
| ~ product(X4,X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_1) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
fof(f30,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4) ).
fof(f31,negated_conjecture,
product(a,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_5) ).
fof(f37,plain,
sum(additive_identity,a,a),
inference(unit_resulting_resolution,[],[f3,f27]) ).
fof(f39,plain,
sum(additive_inverse(a),a,additive_identity),
inference(unit_resulting_resolution,[],[f4,f27]) ).
fof(f43,plain,
product(multiplicative_identity,a,a),
inference(unit_resulting_resolution,[],[f8,f27]) ).
fof(f45,plain,
product(a,multiplicative_identity,a),
inference(unit_resulting_resolution,[],[f10,f43]) ).
fof(f82,plain,
product(multiplicative_inverse(b),b,multiplicative_identity),
inference(unit_resulting_resolution,[],[f9,f28,f30]) ).
fof(f86,plain,
product(b,multiplicative_inverse(b),multiplicative_identity),
inference(unit_resulting_resolution,[],[f10,f82]) ).
fof(f101,plain,
product(additive_identity,multiplicative_inverse(b),a),
inference(unit_resulting_resolution,[],[f7,f45,f31,f86]) ).
fof(f128,plain,
~ sum(a,a,a),
inference(unit_resulting_resolution,[],[f2,f29,f39,f39]) ).
fof(f133,plain,
sum(a,additive_inverse(a),additive_identity),
inference(unit_resulting_resolution,[],[f5,f39]) ).
fof(f140,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f1,f37,f133,f133]) ).
fof(f299,plain,
sum(a,a,a),
inference(unit_resulting_resolution,[],[f11,f101,f140,f101,f101]) ).
fof(f309,plain,
$false,
inference(forward_subsumption_resolution,[],[f299,f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD041-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n003.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 00:36:28 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 6.23/1.52 % (2184284)Input is clausal, will run a generic CNF schedule.
% 6.23/1.52 % (2184295)dis-21_1_sil=8000:lcm=predicate:random_seed=880895381: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)
% 6.23/1.52 % (2184292)lrs+10_1_sil=8000:sp=occurrence:random_seed=2565727308:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.23/1.52 % (2184294)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2058981470:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.23/1.52 % (2184289)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=2626599538:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.23/1.52 % (2184293)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3675842380:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.23/1.52 % (2184290)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1251546685:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.23/1.52 % (2184291)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1574162525:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.23/1.52 % (2184292)Refutation not found, incomplete strategy
% 6.23/1.52 % (2184292)------------------------------
% 6.23/1.52 % (2184292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.52 % (2184292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.52 % (2184292)CaDiCaL version: 2.1.3
% 6.23/1.52 % (2184292)Termination reason: Refutation not found, incomplete strategy
% 6.23/1.52 % (2184292)Time elapsed: 0.002 s
% 6.23/1.52 % (2184292)Peak memory usage: 88 MB
% 6.23/1.52 % (2184292)Instructions burned: 2 (million)
% 6.23/1.52 % (2184295)Instruction limit reached!
% 6.23/1.52 % (2184295)------------------------------
% 6.23/1.52 % (2184295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.52 % (2184295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.52 % (2184295)CaDiCaL version: 2.1.3
% 6.23/1.52 % (2184295)Termination reason: Instruction limit
% 6.23/1.52 % (2184295)Termination phase: Saturation
% 6.23/1.52 % (2184295)Time elapsed: 0.040 s
% 6.23/1.52 % (2184295)Peak memory usage: 90 MB
% 6.23/1.52 % (2184295)Instructions burned: 119 (million)
% 6.23/1.52 % (2184293)Instruction limit reached!
% 6.23/1.52 % (2184293)------------------------------
% 6.23/1.52 % (2184293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.52 % (2184293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.52 % (2184293)CaDiCaL version: 2.1.3
% 6.23/1.52 % (2184293)Termination reason: Instruction limit
% 6.23/1.52 % (2184293)Termination phase: Saturation
% 6.23/1.52 % (2184293)Time elapsed: 0.062 s
% 6.23/1.52 % (2184293)Peak memory usage: 87 MB
% 6.23/1.52 % (2184293)Instructions burned: 116 (million)
% 6.23/1.52 % (2184294)Instruction limit reached!
% 6.23/1.52 % (2184294)------------------------------
% 6.23/1.52 % (2184294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.52 % (2184294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.52 % (2184294)CaDiCaL version: 2.1.3
% 6.23/1.52 % (2184294)Termination reason: Instruction limit
% 6.23/1.52 % (2184294)Termination phase: Saturation
% 6.23/1.52 % (2184294)Time elapsed: 0.101 s
% 6.23/1.52 % (2184294)Peak memory usage: 88 MB
% 6.23/1.52 % (2184294)Instructions burned: 181 (million)
% 6.23/1.52 % (2184303)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=1059917086:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.23/1.52 % (2184303)Instruction limit reached!
% 6.23/1.52 % (2184303)------------------------------
% 6.23/1.52 % (2184303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.52 % (2184303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.52 % (2184303)CaDiCaL version: 2.1.3
% 6.23/1.52 % (2184303)Termination reason: Instruction limit
% 6.23/1.52 % (2184303)Termination phase: Saturation
% 6.23/1.52 % (2184303)Time elapsed: 0.045 s
% 6.23/1.52 % (2184303)Peak memory usage: 89 MB
% 6.23/1.52 % (2184303)Instructions burned: 144 (million)
% 6.23/1.52 % (2184304)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1209673787: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)
% 8.00/1.71 % (2184292)------------------------------
% 8.00/1.71 % (2184292)------------------------------
% 8.00/1.71 % (2184305)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2493915989:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.00/1.71 % (2184307)lrs+10_64_to=lpo:sil=8000:random_seed=447370121:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.00/1.71 % (2184304)Instruction limit reached!
% 8.00/1.71 % (2184304)------------------------------
% 8.00/1.71 % (2184304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.71 % (2184304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.71 % (2184304)CaDiCaL version: 2.1.3
% 8.00/1.71 % (2184304)Termination reason: Instruction limit
% 8.00/1.71 % (2184304)Termination phase: Saturation
% 8.00/1.71 % (2184304)Time elapsed: 0.100 s
% 8.00/1.71 % (2184304)Peak memory usage: 92 MB
% 8.00/1.71 % (2184304)Instructions burned: 191 (million)
% 8.00/1.71 % (2184307)Instruction limit reached!
% 8.00/1.71 % (2184307)------------------------------
% 8.00/1.71 % (2184307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.71 % (2184307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.71 % (2184307)CaDiCaL version: 2.1.3
% 8.00/1.71 % (2184307)Termination reason: Instruction limit
% 8.00/1.71 % (2184307)Termination phase: Saturation
% 8.00/1.71 % (2184307)Time elapsed: 0.040 s
% 8.00/1.71 % (2184307)Peak memory usage: 89 MB
% 8.00/1.71 % (2184307)Instructions burned: 128 (million)
% 8.00/1.71 % (2184305)Instruction limit reached!
% 8.00/1.71 % (2184305)------------------------------
% 8.00/1.71 % (2184305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.71 % (2184305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.71 % (2184305)CaDiCaL version: 2.1.3
% 8.00/1.71 % (2184305)Termination reason: Instruction limit
% 8.00/1.71 % (2184305)Termination phase: Saturation
% 8.00/1.71 % (2184305)Time elapsed: 0.134 s
% 8.00/1.71 % (2184305)Peak memory usage: 88 MB
% 8.00/1.71 % (2184305)Instructions burned: 224 (million)
% 8.00/1.71 % (2184309)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3871938067:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.00/1.71 % (2184313)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3158976572:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 8.00/1.71 % (2184312)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=288876390:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.00/1.71 % (2184312)Instruction limit reached!
% 8.00/1.71 % (2184312)------------------------------
% 8.00/1.71 % (2184312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.71 % (2184312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.71 % (2184312)CaDiCaL version: 2.1.3
% 8.00/1.71 % (2184312)Termination reason: Instruction limit
% 8.00/1.71 % (2184312)Termination phase: Saturation
% 8.00/1.71 % (2184312)Time elapsed: 0.103 s
% 8.00/1.71 % (2184312)Peak memory usage: 90 MB
% 8.00/1.71 % (2184312)Instructions burned: 158 (million)
% 8.00/1.71 % (2184309)Instruction limit reached!
% 8.00/1.71 % (2184309)------------------------------
% 8.00/1.71 % (2184309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.71 % (2184309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.71 % (2184309)CaDiCaL version: 2.1.3
% 8.00/1.71 % (2184309)Termination reason: Instruction limit
% 8.00/1.71 % (2184309)Termination phase: Saturation
% 8.00/1.71 % (2184309)Time elapsed: 0.135 s
% 8.00/1.71 % (2184309)Peak memory usage: 89 MB
% 8.00/1.71 % (2184309)Instructions burned: 195 (million)
% 8.00/1.71 % (2184314)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=4277868098:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 8.00/1.71 % (2184314)Instruction limit reached!
% 8.00/1.71 % (2184314)------------------------------
% 8.00/1.71 % (2184314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.71 % (2184314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.71 % (2184314)CaDiCaL version: 2.1.3
% 8.00/1.71 % (2184314)Termination reason: Instruction limit
% 8.00/1.71 % (2184314)Termination phase: Saturation
% 8.00/1.71 % (2184314)Time elapsed: 0.056 s
% 8.00/1.71 % (2184314)Peak memory usage: 90 MB
% 8.00/1.71 % (2184314)Instructions burned: 107 (million)
% 8.00/1.71 % (2184290)First to succeed.
% 8.00/1.71 % (2184290)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2184284"
% 8.00/1.71 % (2184289)Also succeeded, but the first one will report.
% 8.00/1.71 % (2184319)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=917923236:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.00/1.71 % (2184318)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3631065424:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.00/1.71 % (2184318)Instruction limit reached!
% 8.00/1.71 % (2184318)------------------------------
% 8.00/1.71 % (2184318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.71 % (2184318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.71 % (2184318)CaDiCaL version: 2.1.3
% 8.00/1.71 % (2184318)Termination reason: Instruction limit
% 8.00/1.71 % (2184318)Termination phase: Saturation
% 8.00/1.71 % (2184318)Time elapsed: 0.071 s
% 8.00/1.71 % (2184318)Peak memory usage: 88 MB
% 8.00/1.71 % (2184318)Instructions burned: 108 (million)
% 8.00/1.71 % (2184321)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=709613903:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 8.00/1.71 % (2184313)Also succeeded, but the first one will report.
% 8.00/1.71 % (2184319)Instruction limit reached!
% 8.00/1.71 % (2184319)------------------------------
% 8.00/1.71 % (2184319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.71 % (2184319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.71 % (2184319)CaDiCaL version: 2.1.3
% 8.00/1.71 % (2184319)Termination reason: Instruction limit
% 8.00/1.71 % (2184319)Termination phase: Saturation
% 8.00/1.71 % (2184319)Time elapsed: 0.145 s
% 8.00/1.71 % (2184319)Peak memory usage: 88 MB
% 8.00/1.71 % (2184319)Instructions burned: 243 (million)
% 8.00/1.71 % (2184290)Refutation found. Thanks to Tanya!
% 8.00/1.71 % SZS status Unsatisfiable for theBenchmark
% 8.00/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 8.00/1.71 % (2184290)------------------------------
% 8.00/1.71 % (2184290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.71 % (2184290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.71 % (2184290)CaDiCaL version: 2.1.3
% 8.00/1.71 % (2184290)Termination reason: Refutation
% 8.00/1.71 % (2184290)Time elapsed: 0.639 s
% 8.00/1.71 % (2184290)Peak memory usage: 126 MB
% 8.00/1.71 % (2184290)Instructions burned: 949 (million)
% 8.00/1.71 % (2184290)------------------------------
% 8.00/1.71 % (2184290)------------------------------
% 8.00/1.71 % (2184284)Success in time 1.073 s
% 8.00/1.71 % Vampire exiting
%------------------------------------------------------------------------------