%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD098-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 09:49:29 AM UTC 2026
% Result : Unsatisfiable 12.75s 2.47s
% Output : Refutation 12.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of formulae : 59 ( 48 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 49 ( 26 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',distributivity_1) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f20,axiom,
! [X0,X1] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_multiplication) ).
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/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X2)
| less_or_equal(additive_identity,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
fof(f32,axiom,
defined(s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_is_defined) ).
fof(f33,axiom,
defined(t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_is_defined) ).
fof(f34,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_8) ).
fof(f35,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_9) ).
fof(f36,negated_conjecture,
sum(multiplicative_identity,additive_inverse(a),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_10) ).
fof(f37,negated_conjecture,
sum(multiplicative_identity,additive_inverse(b),v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_11) ).
fof(f38,negated_conjecture,
product(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_12) ).
fof(f39,negated_conjecture,
sum(a,b,s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_13) ).
fof(f40,negated_conjecture,
sum(multiplicative_identity,additive_inverse(s),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_14) ).
fof(f41,negated_conjecture,
~ less_or_equal(t,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_15) ).
fof(f42,plain,
sum(additive_inverse(s),multiplicative_identity,t),
inference(unit_resulting_resolution,[],[f5,f40]) ).
fof(f43,plain,
sum(additive_inverse(b),multiplicative_identity,v),
inference(unit_resulting_resolution,[],[f5,f37]) ).
fof(f44,plain,
sum(additive_inverse(a),multiplicative_identity,u),
inference(unit_resulting_resolution,[],[f5,f36]) ).
fof(f45,plain,
sum(b,a,s),
inference(unit_resulting_resolution,[],[f5,f39]) ).
fof(f47,plain,
product(v,u,w),
inference(unit_resulting_resolution,[],[f10,f38]) ).
fof(f53,plain,
sum(additive_inverse(s),s,additive_identity),
inference(unit_resulting_resolution,[],[f4,f32]) ).
fof(f56,plain,
sum(additive_inverse(b),b,additive_identity),
inference(unit_resulting_resolution,[],[f4,f28]) ).
fof(f57,plain,
sum(additive_identity,b,b),
inference(unit_resulting_resolution,[],[f3,f28]) ).
fof(f63,plain,
sum(additive_inverse(a),a,additive_identity),
inference(unit_resulting_resolution,[],[f4,f27]) ).
fof(f64,plain,
sum(additive_identity,a,a),
inference(unit_resulting_resolution,[],[f3,f27]) ).
fof(f87,plain,
product(multiplicative_identity,t,t),
inference(unit_resulting_resolution,[],[f8,f33]) ).
fof(f89,plain,
sum(additive_identity,t,t),
inference(unit_resulting_resolution,[],[f3,f33]) ).
fof(f104,plain,
sum(s,additive_inverse(s),additive_identity),
inference(unit_resulting_resolution,[],[f5,f53]) ).
fof(f115,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f3,f17]) ).
fof(f116,plain,
sum(additive_inverse(b),s,a),
inference(unit_resulting_resolution,[],[f1,f64,f45,f56]) ).
fof(f135,plain,
product(b,a,multiply(b,a)),
inference(unit_resulting_resolution,[],[f20,f27,f28]) ).
fof(f143,plain,
product(u,a,multiply(u,a)),
inference(unit_resulting_resolution,[],[f20,f27,f29]) ).
fof(f175,plain,
product(t,a,multiply(t,a)),
inference(unit_resulting_resolution,[],[f20,f27,f33]) ).
fof(f177,plain,
product(t,u,multiply(t,u)),
inference(unit_resulting_resolution,[],[f20,f29,f33]) ).
fof(f205,plain,
sum(additive_inverse(a),s,b),
inference(unit_resulting_resolution,[],[f1,f57,f39,f63]) ).
fof(f326,plain,
sum(s,t,multiplicative_identity),
inference(unit_resulting_resolution,[],[f1,f115,f42,f104]) ).
fof(f428,plain,
sum(a,t,v),
inference(unit_resulting_resolution,[],[f2,f326,f43,f116]) ).
fof(f503,plain,
sum(b,t,u),
inference(unit_resulting_resolution,[],[f2,f326,f44,f205]) ).
fof(f520,plain,
sum(a,u,multiplicative_identity),
inference(unit_resulting_resolution,[],[f1,f326,f39,f503]) ).
fof(f1591,plain,
product(a,u,multiply(u,a)),
inference(unit_resulting_resolution,[],[f10,f143]) ).
fof(f2173,plain,
less_or_equal(additive_identity,multiply(b,a)),
inference(unit_resulting_resolution,[],[f25,f35,f34,f135]) ).
fof(f2190,plain,
~ sum(multiply(b,a),t,w),
inference(unit_resulting_resolution,[],[f24,f41,f89,f2173]) ).
fof(f4204,plain,
product(a,t,multiply(t,a)),
inference(unit_resulting_resolution,[],[f10,f175]) ).
fof(f4226,plain,
sum(multiply(b,a),multiply(t,a),multiply(u,a)),
inference(unit_resulting_resolution,[],[f11,f143,f135,f503,f175]) ).
fof(f4312,plain,
product(u,t,multiply(t,u)),
inference(unit_resulting_resolution,[],[f10,f177]) ).
fof(f4336,plain,
sum(multiply(u,a),multiply(t,u),w),
inference(unit_resulting_resolution,[],[f11,f47,f1591,f428,f177]) ).
fof(f4369,plain,
sum(multiply(t,a),multiply(t,u),t),
inference(unit_resulting_resolution,[],[f11,f87,f4204,f520,f4312]) ).
fof(f4379,plain,
~ sum(multiply(b,a),multiply(t,a),multiply(u,a)),
inference(unit_resulting_resolution,[],[f1,f2190,f4369,f4336]) ).
fof(f4391,plain,
$false,
inference(forward_subsumption_resolution,[],[f4379,f4226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD098-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n019.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 01:06:13 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 7.88/1.94 % (436644)Input is clausal, will run a generic CNF schedule.
% 7.88/1.94 % (436653)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3297082508:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.88/1.94 % (436653)Instruction limit reached!
% 7.88/1.94 % (436653)------------------------------
% 7.88/1.94 % (436653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (436653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (436653)CaDiCaL version: 2.1.3
% 7.88/1.94 % (436653)Termination reason: Instruction limit
% 7.88/1.94 % (436653)Termination phase: Saturation
% 7.88/1.94 % (436653)Time elapsed: 0.037 s
% 7.88/1.94 % (436653)Peak memory usage: 88 MB
% 7.88/1.94 % (436653)Instructions burned: 115 (million)
% 7.88/1.94 % (436649)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=3204660851:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.88/1.94 % (436650)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3820905339:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.88/1.94 % (436651)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1121596533:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.88/1.94 % (436652)lrs+10_1_sil=8000:sp=occurrence:random_seed=881096107:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.88/1.94 % (436655)dis-21_1_sil=8000:lcm=predicate:random_seed=1963614522: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)
% 7.88/1.94 % (436654)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2200861762:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.88/1.94 % (436652)Instruction limit reached!
% 7.88/1.94 % (436652)------------------------------
% 7.88/1.94 % (436652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (436652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (436652)CaDiCaL version: 2.1.3
% 7.88/1.94 % (436652)Termination reason: Instruction limit
% 7.88/1.94 % (436652)Termination phase: Saturation
% 7.88/1.94 % (436652)Time elapsed: 0.071 s
% 7.88/1.94 % (436652)Peak memory usage: 89 MB
% 7.88/1.94 % (436652)Instructions burned: 109 (million)
% 7.88/1.94 % (436655)Instruction limit reached!
% 7.88/1.94 % (436655)------------------------------
% 7.88/1.94 % (436655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (436655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (436655)CaDiCaL version: 2.1.3
% 7.88/1.94 % (436655)Termination reason: Instruction limit
% 7.88/1.94 % (436655)Termination phase: Saturation
% 7.88/1.94 % (436655)Time elapsed: 0.071 s
% 7.88/1.94 % (436655)Peak memory usage: 89 MB
% 7.88/1.94 % (436655)Instructions burned: 119 (million)
% 7.88/1.94 % (436657)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=1455881390:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.88/1.94 % (436654)Instruction limit reached!
% 7.88/1.94 % (436654)------------------------------
% 7.88/1.94 % (436654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (436654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (436654)CaDiCaL version: 2.1.3
% 7.88/1.94 % (436654)Termination reason: Instruction limit
% 7.88/1.94 % (436654)Termination phase: Saturation
% 7.88/1.94 % (436654)Time elapsed: 0.109 s
% 7.88/1.94 % (436654)Peak memory usage: 89 MB
% 7.88/1.94 % (436654)Instructions burned: 182 (million)
% 7.88/1.94 % (436657)Instruction limit reached!
% 7.88/1.94 % (436657)------------------------------
% 7.88/1.94 % (436657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (436657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (436657)CaDiCaL version: 2.1.3
% 7.88/1.94 % (436657)Termination reason: Instruction limit
% 7.88/1.94 % (436657)Termination phase: Saturation
% 7.88/1.94 % (436657)Time elapsed: 0.047 s
% 7.88/1.94 % (436657)Peak memory usage: 89 MB
% 7.88/1.94 % (436657)Instructions burned: 143 (million)
% 7.88/1.94 % (436664)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=688759954: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)
% 11.93/2.38 % (436665)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3689360480:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.93/2.38 % (436668)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3730673881:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 11.93/2.38 % (436667)lrs+10_64_to=lpo:sil=8000:random_seed=4173805630:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.93/2.38 % (436668)Instruction limit reached!
% 11.93/2.38 % (436668)------------------------------
% 11.93/2.38 % (436668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.38 % (436668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.38 % (436668)CaDiCaL version: 2.1.3
% 11.93/2.38 % (436668)Termination reason: Instruction limit
% 11.93/2.38 % (436668)Termination phase: Saturation
% 11.93/2.38 % (436668)Time elapsed: 0.037 s
% 11.93/2.38 % (436668)Peak memory usage: 87 MB
% 11.93/2.38 % (436668)Instructions burned: 196 (million)
% 11.93/2.38 % (436664)Instruction limit reached!
% 11.93/2.38 % (436664)------------------------------
% 11.93/2.38 % (436664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.38 % (436664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.38 % (436664)CaDiCaL version: 2.1.3
% 11.93/2.38 % (436664)Termination reason: Instruction limit
% 11.93/2.38 % (436664)Termination phase: Saturation
% 11.93/2.38 % (436664)Time elapsed: 0.096 s
% 11.93/2.38 % (436664)Peak memory usage: 89 MB
% 11.93/2.38 % (436664)Instructions burned: 189 (million)
% 11.93/2.38 % (436667)Instruction limit reached!
% 11.93/2.38 % (436667)------------------------------
% 11.93/2.38 % (436667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.38 % (436667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.38 % (436667)CaDiCaL version: 2.1.3
% 11.93/2.38 % (436667)Termination reason: Instruction limit
% 11.93/2.38 % (436667)Termination phase: Saturation
% 11.93/2.38 % (436667)Time elapsed: 0.062 s
% 11.93/2.38 % (436667)Peak memory usage: 88 MB
% 11.93/2.38 % (436667)Instructions burned: 128 (million)
% 11.93/2.38 % (436665)Instruction limit reached!
% 11.93/2.38 % (436665)------------------------------
% 11.93/2.38 % (436665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.38 % (436665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.38 % (436665)CaDiCaL version: 2.1.3
% 11.93/2.38 % (436665)Termination reason: Instruction limit
% 11.93/2.38 % (436665)Termination phase: Saturation
% 11.93/2.38 % (436665)Time elapsed: 0.128 s
% 11.93/2.38 % (436665)Peak memory usage: 89 MB
% 11.93/2.38 % (436665)Instructions burned: 219 (million)
% 11.93/2.38 % (436673)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1782036997:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 11.93/2.38 % (436674)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4196781728:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 11.93/2.38 % (436675)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=821629228:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 11.93/2.38 % (436673)Instruction limit reached!
% 11.93/2.38 % (436673)------------------------------
% 11.93/2.38 % (436673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.38 % (436673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.38 % (436673)CaDiCaL version: 2.1.3
% 11.93/2.38 % (436673)Termination reason: Instruction limit
% 11.93/2.38 % (436673)Termination phase: Saturation
% 11.93/2.38 % (436673)Time elapsed: 0.060 s
% 11.93/2.38 % (436673)Peak memory usage: 90 MB
% 11.93/2.38 % (436673)Instructions burned: 158 (million)
% 11.93/2.38 % (436676)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2673686463:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 11.93/2.38 % (436675)Instruction limit reached!
% 11.93/2.38 % (436675)------------------------------
% 11.93/2.38 % (436675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.38 % (436675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.38 % (436675)CaDiCaL version: 2.1.3
% 11.93/2.38 % (436675)Termination reason: Instruction limit
% 11.93/2.38 % (436675)Termination phase: Saturation
% 11.93/2.38 % (436675)Time elapsed: 0.056 s
% 11.93/2.38 % (436675)Peak memory usage: 89 MB
% 11.93/2.38 % (436675)Instructions burned: 106 (million)
% 11.93/2.38 % (436676)Instruction limit reached!
% 11.93/2.38 % (436676)------------------------------
% 11.93/2.38 % (436676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.38 % (436676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.38 % (436676)CaDiCaL version: 2.1.3
% 11.93/2.38 % (436676)Termination reason: Instruction limit
% 11.93/2.38 % (436676)Termination phase: Saturation
% 11.93/2.38 % (436676)Time elapsed: 0.065 s
% 11.93/2.38 % (436676)Peak memory usage: 89 MB
% 11.93/2.38 % (436676)Instructions burned: 107 (million)
% 11.93/2.38 % (436680)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2801708385:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 11.93/2.38 % (436680)Instruction limit reached!
% 11.93/2.38 % (436680)------------------------------
% 11.93/2.38 % (436680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.38 % (436680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.38 % (436680)CaDiCaL version: 2.1.3
% 11.93/2.38 % (436680)Termination reason: Instruction limit
% 11.93/2.38 % (436680)Termination phase: Saturation
% 11.93/2.38 % (436680)Time elapsed: 0.083 s
% 11.93/2.38 % (436680)Peak memory usage: 89 MB
% 11.93/2.38 % (436680)Instructions burned: 245 (million)
% 11.93/2.38 % (436682)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2645983287:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 11.93/2.38 % (436683)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2834011960:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 11.93/2.38 % (436683)Instruction limit reached!
% 11.93/2.38 % (436683)------------------------------
% 11.93/2.38 % (436683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.38 % (436683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.38 % (436683)CaDiCaL version: 2.1.3
% 11.93/2.38 % (436683)Termination reason: Instruction limit
% 11.93/2.38 % (436683)Termination phase: Saturation
% 11.93/2.38 % (436683)Time elapsed: 0.050 s
% 11.93/2.38 % (436683)Peak memory usage: 87 MB
% 11.93/2.38 % (436683)Instructions burned: 137 (million)
% 11.93/2.38 % (436685)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=620675884:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 11.93/2.38 % (436685)Instruction limit reached!
% 11.93/2.38 % (436685)------------------------------
% 11.93/2.38 % (436685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.38 % (436685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.38 % (436685)CaDiCaL version: 2.1.3
% 11.93/2.38 % (436685)Termination reason: Instruction limit
% 11.93/2.38 % (436685)Termination phase: Saturation
% 11.93/2.38 % (436685)Time elapsed: 0.141 s
% 11.93/2.38 % (436685)Peak memory usage: 105 MB
% 11.93/2.38 % (436685)Instructions burned: 502 (million)
% 11.93/2.38 % (436688)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1635001410:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 11.93/2.38 % (436688)Instruction limit reached!
% 11.93/2.38 % (436688)------------------------------
% 11.93/2.38 % (436688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.38 % (436688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.38 % (436688)CaDiCaL version: 2.1.3
% 11.93/2.38 % (436688)Termination reason: Instruction limit
% 11.93/2.38 % (436688)Termination phase: Saturation
% 11.93/2.38 % (436688)Time elapsed: 0.112 s
% 11.93/2.38 % (436688)Peak memory usage: 92 MB
% 11.93/2.38 % (436688)Instructions burned: 191 (million)
% 11.93/2.38 % (436690)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1863268986:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 11.93/2.38 % (436690)Instruction limit reached!
% 11.93/2.38 % (436690)------------------------------
% 11.93/2.38 % (436690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.38 % (436690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.47 % (436690)CaDiCaL version: 2.1.3
% 12.75/2.47 % (436690)Termination reason: Instruction limit
% 12.75/2.47 % (436690)Termination phase: Saturation
% 12.75/2.47 % (436690)Time elapsed: 0.048 s
% 12.75/2.47 % (436690)Peak memory usage: 87 MB
% 12.75/2.47 % (436690)Instructions burned: 267 (million)
% 12.75/2.47 % (436693)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2955519312:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 12.75/2.47 % (436694)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2807221098:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 12.75/2.47 % (436693)Instruction limit reached!
% 12.75/2.47 % (436693)------------------------------
% 12.75/2.47 % (436693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.47 % (436693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.47 % (436693)CaDiCaL version: 2.1.3
% 12.75/2.47 % (436693)Termination reason: Instruction limit
% 12.75/2.47 % (436693)Termination phase: Saturation
% 12.75/2.47 % (436693)Time elapsed: 0.066 s
% 12.75/2.47 % (436693)Peak memory usage: 87 MB
% 12.75/2.47 % (436693)Instructions burned: 158 (million)
% 12.75/2.47 % (436650)First to succeed.
% 12.75/2.47 % (436650)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-436644"
% 12.75/2.47 % (436697)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2010004461:i=537:av=off:ss=included_2985 on theBenchmark for (2985ds/537Mi)
% 12.75/2.47 % (436650)Refutation found. Thanks to Tanya!
% 12.75/2.47 % SZS status Unsatisfiable for theBenchmark
% 12.75/2.47 % SZS output start Proof for theBenchmark
% See solution above
% 12.75/2.47 % (436650)------------------------------
% 12.75/2.47 % (436650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.47 % (436650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.47 % (436650)CaDiCaL version: 2.1.3
% 12.75/2.47 % (436650)Termination reason: Refutation
% 12.75/2.47 % (436650)Time elapsed: 1.306 s
% 12.75/2.47 % (436650)Peak memory usage: 134 MB
% 12.75/2.47 % (436650)Instructions burned: 2176 (million)
% 12.75/2.47 % (436650)------------------------------
% 12.75/2.47 % (436650)------------------------------
% 12.75/2.47 % (436644)Success in time 1.74 s
% 12.75/2.47 % Vampire exiting
%------------------------------------------------------------------------------