%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD090-3 : 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 : n011.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 09:49:26 AM UTC 2026
% Result : Unsatisfiable 9.83s 2.08s
% Output : Refutation 9.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 44 ( 30 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 55 ( 29 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 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(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_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(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f19,axiom,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_addition) ).
fof(f20,axiom,
! [X0,X1] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_multiplication) ).
fof(f21,axiom,
! [X0,X1] :
( sum(additive_identity,X0,X1)
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X4,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f27,axiom,
defined(m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_is_defined) ).
fof(f28,negated_conjecture,
! [X0,X1] :
( ~ product(m,X1,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_or_not_product_2) ).
fof(f29,negated_conjecture,
~ sum(additive_identity,m,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
fof(f31,plain,
sum(additive_inverse(m),m,additive_identity),
inference(unit_resulting_resolution,[],[f4,f27]) ).
fof(f32,plain,
sum(additive_identity,m,m),
inference(unit_resulting_resolution,[],[f3,f27]) ).
fof(f33,plain,
sum(m,additive_inverse(m),additive_identity),
inference(unit_resulting_resolution,[],[f5,f31]) ).
fof(f34,plain,
sum(m,additive_identity,m),
inference(unit_resulting_resolution,[],[f5,f32]) ).
fof(f36,plain,
product(multiplicative_identity,m,m),
inference(unit_resulting_resolution,[],[f8,f27]) ).
fof(f37,plain,
product(m,multiplicative_identity,m),
inference(unit_resulting_resolution,[],[f10,f36]) ).
fof(f38,plain,
less_or_equal(m,multiplicative_identity),
inference(unit_resulting_resolution,[],[f28,f37]) ).
fof(f55,plain,
sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f4,f17]) ).
fof(f56,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f3,f17]) ).
fof(f59,plain,
defined(additive_inverse(multiplicative_identity)),
inference(unit_resulting_resolution,[],[f15,f17]) ).
fof(f165,plain,
product(m,additive_identity,multiply(m,additive_identity)),
inference(unit_resulting_resolution,[],[f20,f27,f14]) ).
fof(f374,plain,
product(additive_identity,m,multiply(m,additive_identity)),
inference(unit_resulting_resolution,[],[f10,f165]) ).
fof(f392,plain,
sum(multiply(m,additive_identity),m,m),
inference(unit_resulting_resolution,[],[f11,f36,f36,f56,f374]) ).
fof(f402,plain,
sum(multiply(m,additive_identity),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f1,f33,f33,f392]) ).
fof(f932,plain,
sum(m,additive_inverse(multiplicative_identity),add(m,additive_inverse(multiplicative_identity))),
inference(unit_resulting_resolution,[],[f19,f27,f59]) ).
fof(f942,plain,
product(m,additive_inverse(multiplicative_identity),multiply(m,additive_inverse(multiplicative_identity))),
inference(unit_resulting_resolution,[],[f20,f27,f59]) ).
fof(f943,plain,
less_or_equal(multiply(m,additive_inverse(multiplicative_identity)),additive_inverse(multiplicative_identity)),
inference(unit_resulting_resolution,[],[f28,f942]) ).
fof(f946,plain,
product(additive_inverse(multiplicative_identity),m,multiply(m,additive_inverse(multiplicative_identity))),
inference(unit_resulting_resolution,[],[f10,f942]) ).
fof(f951,plain,
sum(multiply(m,additive_inverse(multiplicative_identity)),m,multiply(m,additive_identity)),
inference(unit_resulting_resolution,[],[f11,f36,f374,f55,f946]) ).
fof(f954,plain,
sum(multiply(m,additive_inverse(multiplicative_identity)),m,additive_identity),
inference(unit_resulting_resolution,[],[f1,f34,f402,f951]) ).
fof(f1281,plain,
sum(add(m,additive_inverse(multiplicative_identity)),multiplicative_identity,m),
inference(unit_resulting_resolution,[],[f2,f34,f55,f932]) ).
fof(f1285,plain,
sum(additive_inverse(multiplicative_identity),m,add(m,additive_inverse(multiplicative_identity))),
inference(unit_resulting_resolution,[],[f5,f932]) ).
fof(f1299,plain,
less_or_equal(additive_identity,add(m,additive_inverse(multiplicative_identity))),
inference(unit_resulting_resolution,[],[f24,f954,f943,f1285]) ).
fof(f2775,plain,
~ less_or_equal(multiplicative_identity,m),
inference(unit_resulting_resolution,[],[f21,f38,f29]) ).
fof(f2796,plain,
~ sum(add(m,additive_inverse(multiplicative_identity)),multiplicative_identity,m),
inference(unit_resulting_resolution,[],[f24,f1299,f56,f2775]) ).
fof(f2800,plain,
$false,
inference(forward_subsumption_resolution,[],[f2796,f1281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD090-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.17 % Computer : n011.cluster.edu
% 0.12/0.17 % Model : x86_64 x86_64
% 0.12/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17 % Memory : 8046.5625MB
% 0.12/0.17 % OS : Linux 6.8.0-71-generic
% 0.12/0.17 % CPULimit : 300
% 0.12/0.17 % WCLimit : 300
% 0.12/0.17 % DateTime : Tue Sep 29 01:01:31 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.20 Running first-order theorem proving
% 0.12/0.20 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
% 7.44/1.96 % (3962348)Input is clausal, will run a generic CNF schedule.
% 7.44/1.96 % (3962355)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=656937866:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.44/1.96 % (3962358)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=763313273:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.44/1.96 % (3962354)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=881439083:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.44/1.96 % (3962356)lrs+10_1_sil=8000:sp=occurrence:random_seed=2443727746:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.44/1.96 % (3962357)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2785271251:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.44/1.96 % (3962353)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=3467979608:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.44/1.96 % (3962359)dis-21_1_sil=8000:lcm=predicate:random_seed=77483297: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)
% 7.44/1.96 % (3962356)Instruction limit reached!
% 7.44/1.96 % (3962356)------------------------------
% 7.44/1.96 % (3962356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.96 % (3962356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.96 % (3962356)CaDiCaL version: 2.1.3
% 7.44/1.96 % (3962356)Termination reason: Instruction limit
% 7.44/1.96 % (3962356)Termination phase: Saturation
% 7.44/1.96 % (3962356)Time elapsed: 0.060 s
% 7.44/1.96 % (3962356)Peak memory usage: 88 MB
% 7.44/1.96 % (3962356)Instructions burned: 108 (million)
% 7.44/1.96 % (3962357)Instruction limit reached!
% 7.44/1.96 % (3962357)------------------------------
% 7.44/1.96 % (3962357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.96 % (3962357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.96 % (3962357)CaDiCaL version: 2.1.3
% 7.44/1.96 % (3962357)Termination reason: Instruction limit
% 7.44/1.96 % (3962357)Termination phase: Saturation
% 7.44/1.96 % (3962357)Time elapsed: 0.063 s
% 7.44/1.96 % (3962357)Peak memory usage: 88 MB
% 7.44/1.96 % (3962357)Instructions burned: 114 (million)
% 7.44/1.96 % (3962359)Instruction limit reached!
% 7.44/1.96 % (3962359)------------------------------
% 7.44/1.96 % (3962359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.96 % (3962359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.96 % (3962359)CaDiCaL version: 2.1.3
% 7.44/1.96 % (3962359)Termination reason: Instruction limit
% 7.44/1.96 % (3962359)Termination phase: Saturation
% 7.44/1.96 % (3962359)Time elapsed: 0.070 s
% 7.44/1.96 % (3962359)Peak memory usage: 89 MB
% 7.44/1.96 % (3962359)Instructions burned: 118 (million)
% 7.44/1.96 % (3962358)Instruction limit reached!
% 7.44/1.96 % (3962358)------------------------------
% 7.44/1.96 % (3962358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.96 % (3962358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.96 % (3962358)CaDiCaL version: 2.1.3
% 7.44/1.96 % (3962358)Termination reason: Instruction limit
% 7.44/1.96 % (3962358)Termination phase: Saturation
% 7.44/1.96 % (3962358)Time elapsed: 0.112 s
% 7.44/1.96 % (3962358)Peak memory usage: 89 MB
% 7.44/1.96 % (3962358)Instructions burned: 182 (million)
% 7.44/1.96 % (3962368)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=265000974: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)
% 7.44/1.96 % (3962367)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=1929672304:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.44/1.96 % (3962369)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3899101895:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.44/1.96 % (3962370)lrs+10_64_to=lpo:sil=8000:random_seed=2180611074:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.44/1.96 % (3962367)Instruction limit reached!
% 7.44/1.96 % (3962367)------------------------------
% 7.44/1.96 % (3962367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.96 % (3962367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.96 % (3962367)CaDiCaL version: 2.1.3
% 7.44/1.96 % (3962367)Termination reason: Instruction limit
% 7.44/1.96 % (3962367)Termination phase: Saturation
% 7.44/1.96 % (3962367)Time elapsed: 0.083 s
% 7.44/1.96 % (3962367)Peak memory usage: 89 MB
% 7.44/1.96 % (3962367)Instructions burned: 144 (million)
% 7.44/1.96 % (3962368)Instruction limit reached!
% 7.44/1.96 % (3962368)------------------------------
% 7.44/1.96 % (3962368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.96 % (3962368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.96 % (3962368)CaDiCaL version: 2.1.3
% 7.44/1.96 % (3962368)Termination reason: Instruction limit
% 7.44/1.96 % (3962368)Termination phase: Saturation
% 7.44/1.96 % (3962368)Time elapsed: 0.095 s
% 7.44/1.96 % (3962368)Peak memory usage: 93 MB
% 7.44/1.96 % (3962368)Instructions burned: 190 (million)
% 7.44/1.96 % (3962370)Instruction limit reached!
% 7.44/1.96 % (3962370)------------------------------
% 7.44/1.96 % (3962370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.96 % (3962370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.96 % (3962370)CaDiCaL version: 2.1.3
% 7.44/1.96 % (3962370)Termination reason: Instruction limit
% 7.44/1.96 % (3962370)Termination phase: Saturation
% 7.44/1.96 % (3962370)Time elapsed: 0.071 s
% 7.44/1.96 % (3962370)Peak memory usage: 88 MB
% 7.44/1.96 % (3962370)Instructions burned: 127 (million)
% 7.44/1.96 % (3962369)Instruction limit reached!
% 7.44/1.96 % (3962369)------------------------------
% 7.44/1.96 % (3962369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.96 % (3962369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.96 % (3962369)CaDiCaL version: 2.1.3
% 7.44/1.96 % (3962369)Termination reason: Instruction limit
% 7.44/1.96 % (3962369)Termination phase: Saturation
% 7.44/1.96 % (3962369)Time elapsed: 0.124 s
% 7.44/1.96 % (3962369)Peak memory usage: 89 MB
% 7.44/1.96 % (3962369)Instructions burned: 219 (million)
% 7.44/1.96 % (3962375)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=700032137:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.44/1.96 % (3962376)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4176929398:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.44/1.96 % (3962377)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=701980278:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.44/1.96 % (3962378)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=3379028434:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 7.44/1.96 % (3962376)Instruction limit reached!
% 7.44/1.96 % (3962376)------------------------------
% 7.44/1.96 % (3962376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.96 % (3962376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.96 % (3962376)CaDiCaL version: 2.1.3
% 7.44/1.96 % (3962376)Termination reason: Instruction limit
% 7.44/1.96 % (3962376)Termination phase: Saturation
% 7.44/1.96 % (3962376)Time elapsed: 0.102 s
% 7.44/1.96 % (3962376)Peak memory usage: 90 MB
% 7.44/1.96 % (3962376)Instructions burned: 158 (million)
% 7.44/1.96 % (3962375)Instruction limit reached!
% 7.44/1.96 % (3962375)------------------------------
% 7.44/1.96 % (3962375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.96 % (3962375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.96 % (3962375)CaDiCaL version: 2.1.3
% 7.44/1.96 % (3962375)Termination reason: Instruction limit
% 7.44/1.96 % (3962375)Termination phase: Saturation
% 7.44/1.96 % (3962375)Time elapsed: 0.128 s
% 7.44/1.96 % (3962375)Peak memory usage: 90 MB
% 7.44/1.96 % (3962375)Instructions burned: 195 (million)
% 7.44/1.96 % (3962378)Instruction limit reached!
% 7.44/1.96 % (3962378)------------------------------
% 7.44/1.96 % (3962378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.96 % (3962378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.96 % (3962378)CaDiCaL version: 2.1.3
% 9.83/2.08 % (3962378)Termination reason: Instruction limit
% 9.83/2.08 % (3962378)Termination phase: Saturation
% 9.83/2.08 % (3962378)Time elapsed: 0.056 s
% 9.83/2.08 % (3962378)Peak memory usage: 90 MB
% 9.83/2.08 % (3962378)Instructions burned: 107 (million)
% 9.83/2.08 % (3962384)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4204994094:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 9.83/2.08 % (3962383)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4229466761:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 9.83/2.08 % (3962385)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3334586531:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 9.83/2.08 % (3962383)Instruction limit reached!
% 9.83/2.08 % (3962383)------------------------------
% 9.83/2.08 % (3962383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.08 % (3962383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.08 % (3962383)CaDiCaL version: 2.1.3
% 9.83/2.08 % (3962383)Termination reason: Instruction limit
% 9.83/2.08 % (3962383)Termination phase: Saturation
% 9.83/2.08 % (3962383)Time elapsed: 0.054 s
% 9.83/2.08 % (3962383)Peak memory usage: 87 MB
% 9.83/2.08 % (3962383)Instructions burned: 109 (million)
% 9.83/2.08 % (3962384)Instruction limit reached!
% 9.83/2.08 % (3962384)------------------------------
% 9.83/2.08 % (3962384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.08 % (3962384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.08 % (3962384)CaDiCaL version: 2.1.3
% 9.83/2.08 % (3962384)Termination reason: Instruction limit
% 9.83/2.08 % (3962384)Termination phase: Saturation
% 9.83/2.08 % (3962384)Time elapsed: 0.149 s
% 9.83/2.08 % (3962384)Peak memory usage: 89 MB
% 9.83/2.08 % (3962384)Instructions burned: 242 (million)
% 9.83/2.08 % (3962389)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2152601066:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 9.83/2.08 % (3962354)First to succeed.
% 9.83/2.08 % (3962354)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3962348"
% 9.83/2.08 % (3962389)Instruction limit reached!
% 9.83/2.08 % (3962389)------------------------------
% 9.83/2.08 % (3962389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.08 % (3962389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.08 % (3962389)CaDiCaL version: 2.1.3
% 9.83/2.08 % (3962389)Termination reason: Instruction limit
% 9.83/2.08 % (3962389)Termination phase: Saturation
% 9.83/2.08 % (3962389)Time elapsed: 0.094 s
% 9.83/2.08 % (3962389)Peak memory usage: 90 MB
% 9.83/2.08 % (3962389)Instructions burned: 135 (million)
% 9.83/2.08 % (3962390)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=104486438:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 9.83/2.08 % (3962392)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3411130624:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 9.83/2.08 % (3962354)Refutation found. Thanks to Tanya!
% 9.83/2.08 % SZS status Unsatisfiable for theBenchmark
% 9.83/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 9.83/2.08 % (3962354)------------------------------
% 9.83/2.08 % (3962354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.08 % (3962354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.08 % (3962354)CaDiCaL version: 2.1.3
% 9.83/2.08 % (3962354)Termination reason: Refutation
% 9.83/2.08 % (3962354)Time elapsed: 0.907 s
% 9.83/2.08 % (3962354)Peak memory usage: 131 MB
% 9.83/2.08 % (3962354)Instructions burned: 1426 (million)
% 9.83/2.08 % (3962354)------------------------------
% 9.83/2.08 % (3962354)------------------------------
% 9.83/2.08 % (3962348)Success in time 1.316 s
% 9.83/2.08 % Vampire exiting
%------------------------------------------------------------------------------