%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD012-4 : 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 : n006.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 09:49:00 AM UTC 2026
% Result : Unsatisfiable 7.98s 1.84s
% Output : Refutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 53 ( 42 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 51 ( 28 ~; 23 |; 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 : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 41 ( 41 !; 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(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_1) ).
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,axiom,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
fof(f30,axiom,
defined(v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_is_defined) ).
fof(f31,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5) ).
fof(f32,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_6) ).
fof(f33,negated_conjecture,
product(a,b,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_7) ).
fof(f34,negated_conjecture,
product(multiplicative_inverse(a),multiplicative_inverse(b),v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_8) ).
fof(f35,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(u),v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_9) ).
fof(f37,plain,
product(b,a,u),
inference(unit_resulting_resolution,[],[f10,f33]) ).
fof(f40,plain,
~ product(multiplicative_inverse(u),multiplicative_identity,v),
inference(unit_resulting_resolution,[],[f10,f35]) ).
fof(f43,plain,
sum(additive_identity,a,a),
inference(unit_resulting_resolution,[],[f3,f27]) ).
fof(f44,plain,
product(multiplicative_identity,a,a),
inference(unit_resulting_resolution,[],[f8,f27]) ).
fof(f45,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference(unit_resulting_resolution,[],[f9,f31,f27]) ).
fof(f47,plain,
product(a,multiplicative_inverse(a),multiplicative_identity),
inference(unit_resulting_resolution,[],[f10,f45]) ).
fof(f49,plain,
sum(additive_identity,b,b),
inference(unit_resulting_resolution,[],[f3,f28]) ).
fof(f50,plain,
product(multiplicative_identity,b,b),
inference(unit_resulting_resolution,[],[f8,f28]) ).
fof(f51,plain,
product(multiplicative_inverse(b),b,multiplicative_identity),
inference(unit_resulting_resolution,[],[f9,f32,f28]) ).
fof(f53,plain,
product(b,multiplicative_inverse(b),multiplicative_identity),
inference(unit_resulting_resolution,[],[f10,f51]) ).
fof(f57,plain,
product(multiplicative_inverse(b),u,a),
inference(unit_resulting_resolution,[],[f6,f37,f51,f44]) ).
fof(f60,plain,
product(v,u,multiplicative_identity),
inference(unit_resulting_resolution,[],[f7,f45,f34,f57]) ).
fof(f63,plain,
product(u,multiplicative_inverse(b),a),
inference(unit_resulting_resolution,[],[f10,f57]) ).
fof(f65,plain,
product(u,v,multiplicative_identity),
inference(unit_resulting_resolution,[],[f10,f60]) ).
fof(f108,plain,
product(multiplicative_inverse(a),u,b),
inference(unit_resulting_resolution,[],[f6,f33,f45,f50]) ).
fof(f123,plain,
product(u,multiplicative_inverse(a),b),
inference(unit_resulting_resolution,[],[f10,f108]) ).
fof(f152,plain,
sum(additive_inverse(v),v,additive_identity),
inference(unit_resulting_resolution,[],[f4,f30]) ).
fof(f154,plain,
product(multiplicative_identity,v,v),
inference(unit_resulting_resolution,[],[f8,f30]) ).
fof(f186,plain,
~ product(multiplicative_inverse(u),u,multiplicative_identity),
inference(unit_resulting_resolution,[],[f6,f154,f65,f40]) ).
fof(f189,plain,
sum(additive_identity,u,additive_identity),
inference(unit_resulting_resolution,[],[f9,f29,f186]) ).
fof(f210,plain,
sum(u,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f5,f189]) ).
fof(f258,plain,
sum(u,b,b),
inference(unit_resulting_resolution,[],[f1,f49,f210,f49]) ).
fof(f262,plain,
sum(u,a,a),
inference(unit_resulting_resolution,[],[f1,f43,f210,f43]) ).
fof(f272,plain,
sum(b,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f11,f47,f123,f47,f262]) ).
fof(f274,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f1,f272,f49,f272]) ).
fof(f282,plain,
sum(multiplicative_identity,additive_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f5,f274]) ).
fof(f287,plain,
sum(multiplicative_identity,u,multiplicative_identity),
inference(unit_resulting_resolution,[],[f2,f282,f189,f282]) ).
fof(f321,plain,
sum(a,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f11,f53,f63,f53,f258]) ).
fof(f334,plain,
sum(multiplicative_identity,a,multiplicative_identity),
inference(unit_resulting_resolution,[],[f5,f321]) ).
fof(f368,plain,
~ sum(v,a,v),
inference(unit_resulting_resolution,[],[f2,f31,f152,f152]) ).
fof(f429,plain,
sum(v,multiplicative_identity,v),
inference(unit_resulting_resolution,[],[f11,f65,f154,f154,f287]) ).
fof(f440,plain,
sum(v,a,v),
inference(unit_resulting_resolution,[],[f2,f429,f334,f429]) ).
fof(f458,plain,
$false,
inference(forward_subsumption_resolution,[],[f440,f368]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD012-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n006.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 00:23:55 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 6.37/1.69 % (357031)Input is clausal, will run a generic CNF schedule.
% 6.37/1.69 % (357038)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3345774073:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.37/1.69 % (357039)lrs+10_1_sil=8000:sp=occurrence:random_seed=1116929587:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.37/1.69 % (357036)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=1811858687:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.37/1.69 % (357040)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=556169499:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.37/1.69 % (357037)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2958285081:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.37/1.69 % (357041)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=627933692:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.37/1.69 % (357042)dis-21_1_sil=8000:lcm=predicate:random_seed=2410974786: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)
% 6.37/1.69 % (357040)Instruction limit reached!
% 6.37/1.69 % (357040)------------------------------
% 6.37/1.69 % (357040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (357040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (357040)CaDiCaL version: 2.1.3
% 6.37/1.69 % (357040)Termination reason: Instruction limit
% 6.37/1.69 % (357040)Termination phase: Saturation
% 6.37/1.69 % (357040)Time elapsed: 0.065 s
% 6.37/1.69 % (357040)Peak memory usage: 88 MB
% 6.37/1.69 % (357040)Instructions burned: 115 (million)
% 6.37/1.69 % (357039)Instruction limit reached!
% 6.37/1.69 % (357039)------------------------------
% 6.37/1.69 % (357039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (357039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (357039)CaDiCaL version: 2.1.3
% 6.37/1.69 % (357039)Termination reason: Instruction limit
% 6.37/1.69 % (357039)Termination phase: Saturation
% 6.37/1.69 % (357039)Time elapsed: 0.068 s
% 6.37/1.69 % (357039)Peak memory usage: 89 MB
% 6.37/1.69 % (357039)Instructions burned: 108 (million)
% 6.37/1.69 % (357042)Instruction limit reached!
% 6.37/1.69 % (357042)------------------------------
% 6.37/1.69 % (357042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (357042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (357042)CaDiCaL version: 2.1.3
% 6.37/1.69 % (357042)Termination reason: Instruction limit
% 6.37/1.69 % (357042)Termination phase: Saturation
% 6.37/1.69 % (357042)Time elapsed: 0.072 s
% 6.37/1.69 % (357042)Peak memory usage: 89 MB
% 6.37/1.69 % (357042)Instructions burned: 118 (million)
% 6.37/1.69 % (357041)Instruction limit reached!
% 6.37/1.69 % (357041)------------------------------
% 6.37/1.69 % (357041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (357041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (357041)CaDiCaL version: 2.1.3
% 6.37/1.69 % (357041)Termination reason: Instruction limit
% 6.37/1.69 % (357041)Termination phase: Saturation
% 6.37/1.69 % (357041)Time elapsed: 0.106 s
% 6.37/1.69 % (357041)Peak memory usage: 89 MB
% 6.37/1.69 % (357041)Instructions burned: 181 (million)
% 6.37/1.69 % (357052)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3988941355:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.37/1.69 % (357050)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=1037479777:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.37/1.69 % (357051)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2361128663: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)
% 6.37/1.69 % (357053)lrs+10_64_to=lpo:sil=8000:random_seed=1530101135:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.37/1.69 % (357050)Instruction limit reached!
% 6.37/1.69 % (357050)------------------------------
% 6.37/1.69 % (357050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (357050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (357050)CaDiCaL version: 2.1.3
% 6.37/1.69 % (357050)Termination reason: Instruction limit
% 6.37/1.69 % (357050)Termination phase: Saturation
% 6.37/1.69 % (357050)Time elapsed: 0.083 s
% 6.37/1.69 % (357050)Peak memory usage: 89 MB
% 6.37/1.69 % (357050)Instructions burned: 143 (million)
% 6.37/1.69 % (357051)Instruction limit reached!
% 6.37/1.69 % (357051)------------------------------
% 6.37/1.69 % (357051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (357051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (357051)CaDiCaL version: 2.1.3
% 6.37/1.69 % (357051)Termination reason: Instruction limit
% 6.37/1.69 % (357051)Termination phase: Saturation
% 6.37/1.69 % (357051)Time elapsed: 0.091 s
% 6.37/1.69 % (357051)Peak memory usage: 88 MB
% 6.37/1.69 % (357051)Instructions burned: 190 (million)
% 6.37/1.69 % (357053)Instruction limit reached!
% 6.37/1.69 % (357053)------------------------------
% 6.37/1.69 % (357053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (357053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (357053)CaDiCaL version: 2.1.3
% 6.37/1.69 % (357053)Termination reason: Instruction limit
% 6.37/1.69 % (357053)Termination phase: Saturation
% 6.37/1.69 % (357053)Time elapsed: 0.082 s
% 6.37/1.69 % (357053)Peak memory usage: 89 MB
% 6.37/1.69 % (357053)Instructions burned: 126 (million)
% 6.37/1.69 % (357052)Instruction limit reached!
% 6.37/1.69 % (357052)------------------------------
% 6.37/1.69 % (357052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (357052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (357052)CaDiCaL version: 2.1.3
% 6.37/1.69 % (357052)Termination reason: Instruction limit
% 6.37/1.69 % (357052)Termination phase: Saturation
% 6.37/1.69 % (357052)Time elapsed: 0.132 s
% 6.37/1.69 % (357052)Peak memory usage: 89 MB
% 6.37/1.69 % (357052)Instructions burned: 220 (million)
% 6.37/1.69 % (357058)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3505494038:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.37/1.69 % (357059)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=156483170:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.37/1.69 % (357060)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3965537196:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.37/1.69 % (357061)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=1796389095:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.37/1.69 % (357061)Instruction limit reached!
% 6.37/1.69 % (357061)------------------------------
% 6.37/1.69 % (357061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (357061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (357061)CaDiCaL version: 2.1.3
% 6.37/1.69 % (357061)Termination reason: Instruction limit
% 6.37/1.69 % (357061)Termination phase: Saturation
% 6.37/1.69 % (357061)Time elapsed: 0.055 s
% 6.37/1.69 % (357061)Peak memory usage: 89 MB
% 6.37/1.69 % (357061)Instructions burned: 106 (million)
% 6.37/1.69 % (357059)Instruction limit reached!
% 6.37/1.69 % (357059)------------------------------
% 6.37/1.69 % (357059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (357059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (357059)CaDiCaL version: 2.1.3
% 6.37/1.69 % (357059)Termination reason: Instruction limit
% 6.37/1.69 % (357059)Termination phase: Saturation
% 6.37/1.69 % (357059)Time elapsed: 0.102 s
% 6.37/1.69 % (357059)Peak memory usage: 90 MB
% 6.37/1.69 % (357059)Instructions burned: 157 (million)
% 6.37/1.69 % (357058)Instruction limit reached!
% 6.37/1.69 % (357058)------------------------------
% 6.37/1.69 % (357058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (357058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (357058)CaDiCaL version: 2.1.3
% 6.37/1.69 % (357058)Termination reason: Instruction limit
% 6.37/1.69 % (357058)Termination phase: Saturation
% 6.37/1.69 % (357058)Time elapsed: 0.133 s
% 7.98/1.84 % (357058)Peak memory usage: 89 MB
% 7.98/1.84 % (357058)Instructions burned: 195 (million)
% 7.98/1.84 % (357037)First to succeed.
% 7.98/1.84 % (357066)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2484663946:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.98/1.84 % (357067)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2947611038:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.98/1.84 % (357037)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-357031"
% 7.98/1.84 % (357068)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3092753468:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 7.98/1.84 % (357066)Instruction limit reached!
% 7.98/1.84 % (357066)------------------------------
% 7.98/1.84 % (357066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/1.84 % (357066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/1.84 % (357066)CaDiCaL version: 2.1.3
% 7.98/1.84 % (357066)Termination reason: Instruction limit
% 7.98/1.84 % (357066)Termination phase: Saturation
% 7.98/1.84 % (357066)Time elapsed: 0.070 s
% 7.98/1.84 % (357066)Peak memory usage: 89 MB
% 7.98/1.84 % (357066)Instructions burned: 107 (million)
% 7.98/1.84 % (357067)Instruction limit reached!
% 7.98/1.84 % (357067)------------------------------
% 7.98/1.84 % (357067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/1.84 % (357067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/1.84 % (357067)CaDiCaL version: 2.1.3
% 7.98/1.84 % (357067)Termination reason: Instruction limit
% 7.98/1.84 % (357067)Termination phase: Saturation
% 7.98/1.84 % (357067)Time elapsed: 0.154 s
% 7.98/1.84 % (357067)Peak memory usage: 89 MB
% 7.98/1.84 % (357067)Instructions burned: 243 (million)
% 7.98/1.84 % (357072)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1441249629:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 7.98/1.84 % (357037)Refutation found. Thanks to Tanya!
% 7.98/1.84 % SZS status Unsatisfiable for theBenchmark
% 7.98/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 7.98/1.84 % (357037)------------------------------
% 7.98/1.84 % (357037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/1.84 % (357037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/1.84 % (357037)CaDiCaL version: 2.1.3
% 7.98/1.84 % (357037)Termination reason: Refutation
% 7.98/1.84 % (357037)Time elapsed: 0.644 s
% 7.98/1.84 % (357037)Peak memory usage: 127 MB
% 7.98/1.84 % (357037)Instructions burned: 972 (million)
% 7.98/1.84 % (357037)------------------------------
% 7.98/1.84 % (357037)------------------------------
% 7.98/1.84 % (357031)Success in time 1.049 s
% 7.98/1.84 % Vampire exiting
%------------------------------------------------------------------------------