%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD072-3 : 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 : 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 09:49:21 AM UTC 2026
% Result : Unsatisfiable 9.59s 2.13s
% Output : Refutation 9.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 54 ( 41 unt; 0 def)
% Number of atoms : 80 ( 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; 4 con; 0-2 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/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(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f16,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
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,negated_conjecture,
less_or_equal(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f30,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f31,negated_conjecture,
~ less_or_equal(multiply(a,b),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_5) ).
fof(f37,plain,
sum(additive_identity,a,a),
inference(unit_resulting_resolution,[],[f3,f27]) ).
fof(f38,plain,
product(b,a,multiply(b,a)),
inference(unit_resulting_resolution,[],[f20,f28,f27]) ).
fof(f40,plain,
product(a,b,multiply(a,b)),
inference(unit_resulting_resolution,[],[f20,f28,f27]) ).
fof(f43,plain,
sum(a,additive_identity,a),
inference(unit_resulting_resolution,[],[f5,f37]) ).
fof(f52,plain,
defined(multiply(b,a)),
inference(unit_resulting_resolution,[],[f16,f27,f28]) ).
fof(f55,plain,
sum(additive_inverse(b),b,additive_identity),
inference(unit_resulting_resolution,[],[f4,f28]) ).
fof(f56,plain,
sum(additive_inverse(a),a,additive_identity),
inference(unit_resulting_resolution,[],[f4,f27]) ).
fof(f58,plain,
sum(a,additive_inverse(a),additive_identity),
inference(unit_resulting_resolution,[],[f5,f56]) ).
fof(f67,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f2,f56,f56,f43]) ).
fof(f126,plain,
product(b,additive_identity,multiply(b,additive_identity)),
inference(unit_resulting_resolution,[],[f20,f28,f14]) ).
fof(f153,plain,
product(multiplicative_identity,b,b),
inference(unit_resulting_resolution,[],[f8,f28]) ).
fof(f160,plain,
product(a,b,multiply(b,a)),
inference(unit_resulting_resolution,[],[f10,f38]) ).
fof(f176,plain,
defined(additive_inverse(a)),
inference(unit_resulting_resolution,[],[f15,f27]) ).
fof(f178,plain,
sum(additive_identity,additive_inverse(a),additive_inverse(a)),
inference(unit_resulting_resolution,[],[f3,f176]) ).
fof(f205,plain,
product(b,additive_inverse(a),multiply(b,additive_inverse(a))),
inference(unit_resulting_resolution,[],[f20,f28,f176]) ).
fof(f220,plain,
less_or_equal(additive_identity,additive_inverse(a)),
inference(unit_resulting_resolution,[],[f24,f29,f58,f178]) ).
fof(f311,plain,
product(additive_identity,b,multiply(b,additive_identity)),
inference(unit_resulting_resolution,[],[f10,f126]) ).
fof(f397,plain,
sum(multiply(b,additive_identity),multiply(b,a),multiply(a,b)),
inference(unit_resulting_resolution,[],[f11,f160,f311,f37,f40]) ).
fof(f414,plain,
sum(multiply(b,additive_identity),multiply(b,a),multiply(b,a)),
inference(unit_resulting_resolution,[],[f11,f160,f311,f37,f160]) ).
fof(f526,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f3,f17]) ).
fof(f577,plain,
sum(multiplicative_identity,additive_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f5,f526]) ).
fof(f597,plain,
sum(b,multiply(b,additive_identity),b),
inference(unit_resulting_resolution,[],[f11,f311,f153,f153,f577]) ).
fof(f609,plain,
sum(additive_identity,multiply(b,additive_identity),additive_identity),
inference(unit_resulting_resolution,[],[f2,f55,f55,f597]) ).
fof(f1063,plain,
sum(additive_identity,multiply(b,a),multiply(b,a)),
inference(unit_resulting_resolution,[],[f3,f52]) ).
fof(f1140,plain,
sum(multiply(b,a),additive_identity,multiply(b,a)),
inference(unit_resulting_resolution,[],[f5,f1063]) ).
fof(f1157,plain,
sum(multiply(b,a),additive_identity,multiply(a,b)),
inference(unit_resulting_resolution,[],[f2,f397,f414,f1140]) ).
fof(f1251,plain,
~ less_or_equal(multiply(b,a),additive_identity),
inference(unit_resulting_resolution,[],[f24,f67,f31,f1157]) ).
fof(f2158,plain,
sum(multiply(b,additive_identity),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f5,f609]) ).
fof(f2534,plain,
product(additive_inverse(a),b,multiply(b,additive_inverse(a))),
inference(unit_resulting_resolution,[],[f10,f205]) ).
fof(f2535,plain,
less_or_equal(additive_identity,multiply(b,additive_inverse(a))),
inference(unit_resulting_resolution,[],[f25,f30,f220,f205]) ).
fof(f2538,plain,
~ sum(multiply(b,additive_inverse(a)),multiply(b,a),additive_identity),
inference(unit_resulting_resolution,[],[f24,f1251,f1063,f2535]) ).
fof(f2555,plain,
sum(multiply(b,additive_inverse(a)),multiply(b,a),multiply(b,additive_identity)),
inference(unit_resulting_resolution,[],[f11,f160,f311,f56,f2534]) ).
fof(f2568,plain,
sum(multiply(b,additive_inverse(a)),multiply(b,a),additive_identity),
inference(unit_resulting_resolution,[],[f1,f2158,f1140,f2555]) ).
fof(f2583,plain,
$false,
inference(forward_subsumption_resolution,[],[f2568,f2538]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD072-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:53:10 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 7.09/1.85 % (3949576)Input is clausal, will run a generic CNF schedule.
% 7.09/1.85 % (3949587)dis-21_1_sil=8000:lcm=predicate:random_seed=1778769691: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)
% 7.09/1.85 % (3949584)lrs+10_1_sil=8000:sp=occurrence:random_seed=4098634331:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.09/1.85 % (3949582)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2772387175:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.09/1.85 % (3949586)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3790045540:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.09/1.85 % (3949585)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1646155446:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.09/1.85 % (3949583)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3933639567:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.09/1.85 % (3949581)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=3193885460:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.09/1.85 % (3949587)Instruction limit reached!
% 7.09/1.85 % (3949587)------------------------------
% 7.09/1.85 % (3949587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/1.85 % (3949587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.85 % (3949587)CaDiCaL version: 2.1.3
% 7.09/1.85 % (3949587)Termination reason: Instruction limit
% 7.09/1.85 % (3949587)Termination phase: Saturation
% 7.09/1.85 % (3949587)Time elapsed: 0.041 s
% 7.09/1.85 % (3949587)Peak memory usage: 89 MB
% 7.09/1.85 % (3949587)Instructions burned: 120 (million)
% 7.09/1.85 % (3949585)Instruction limit reached!
% 7.09/1.85 % (3949585)------------------------------
% 7.09/1.85 % (3949585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/1.85 % (3949585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.85 % (3949585)CaDiCaL version: 2.1.3
% 7.09/1.85 % (3949585)Termination reason: Instruction limit
% 7.09/1.85 % (3949585)Termination phase: Saturation
% 7.09/1.85 % (3949585)Time elapsed: 0.046 s
% 7.09/1.85 % (3949585)Peak memory usage: 88 MB
% 7.09/1.85 % (3949585)Instructions burned: 116 (million)
% 7.09/1.85 % (3949584)Instruction limit reached!
% 7.09/1.85 % (3949584)------------------------------
% 7.09/1.85 % (3949584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/1.85 % (3949584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.85 % (3949584)CaDiCaL version: 2.1.3
% 7.09/1.85 % (3949584)Termination reason: Instruction limit
% 7.09/1.85 % (3949584)Termination phase: Saturation
% 7.09/1.85 % (3949584)Time elapsed: 0.056 s
% 7.09/1.85 % (3949584)Peak memory usage: 88 MB
% 7.09/1.85 % (3949584)Instructions burned: 108 (million)
% 7.09/1.85 % (3949586)Instruction limit reached!
% 7.09/1.85 % (3949586)------------------------------
% 7.09/1.85 % (3949586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/1.85 % (3949586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.85 % (3949586)CaDiCaL version: 2.1.3
% 7.09/1.85 % (3949586)Termination reason: Instruction limit
% 7.09/1.85 % (3949586)Termination phase: Saturation
% 7.09/1.85 % (3949586)Time elapsed: 0.113 s
% 7.09/1.85 % (3949586)Peak memory usage: 88 MB
% 7.09/1.85 % (3949586)Instructions burned: 181 (million)
% 7.09/1.85 % (3949595)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=1052458520:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.09/1.85 % (3949595)Instruction limit reached!
% 7.09/1.85 % (3949595)------------------------------
% 7.09/1.85 % (3949595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/1.85 % (3949595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.85 % (3949595)CaDiCaL version: 2.1.3
% 7.09/1.85 % (3949595)Termination reason: Instruction limit
% 7.09/1.85 % (3949595)Termination phase: Saturation
% 7.09/1.85 % (3949595)Time elapsed: 0.030 s
% 7.09/1.85 % (3949595)Peak memory usage: 87 MB
% 7.09/1.85 % (3949595)Instructions burned: 148 (million)
% 7.67/1.94 % (3949596)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3528392979: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)
% 7.67/1.94 % (3949597)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1031936095:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.67/1.94 % (3949600)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1598114347:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 7.67/1.94 % (3949599)lrs+10_64_to=lpo:sil=8000:random_seed=3512220986:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.67/1.94 % (3949596)Instruction limit reached!
% 7.67/1.94 % (3949596)------------------------------
% 7.67/1.94 % (3949596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/1.94 % (3949596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94 % (3949596)CaDiCaL version: 2.1.3
% 7.67/1.94 % (3949596)Termination reason: Instruction limit
% 7.67/1.94 % (3949596)Termination phase: Saturation
% 7.67/1.94 % (3949596)Time elapsed: 0.097 s
% 7.67/1.94 % (3949596)Peak memory usage: 93 MB
% 7.67/1.94 % (3949596)Instructions burned: 190 (million)
% 7.67/1.94 % (3949597)Instruction limit reached!
% 7.67/1.94 % (3949597)------------------------------
% 7.67/1.94 % (3949597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/1.94 % (3949597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94 % (3949597)CaDiCaL version: 2.1.3
% 7.67/1.94 % (3949597)Termination reason: Instruction limit
% 7.67/1.94 % (3949597)Termination phase: Saturation
% 7.67/1.94 % (3949597)Time elapsed: 0.078 s
% 7.67/1.94 % (3949597)Peak memory usage: 87 MB
% 7.67/1.94 % (3949597)Instructions burned: 220 (million)
% 7.67/1.94 % (3949600)Instruction limit reached!
% 7.67/1.94 % (3949600)------------------------------
% 7.67/1.94 % (3949600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/1.94 % (3949600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94 % (3949600)CaDiCaL version: 2.1.3
% 7.67/1.94 % (3949600)Termination reason: Instruction limit
% 7.67/1.94 % (3949600)Termination phase: Saturation
% 7.67/1.94 % (3949600)Time elapsed: 0.038 s
% 7.67/1.94 % (3949600)Peak memory usage: 87 MB
% 7.67/1.94 % (3949600)Instructions burned: 198 (million)
% 7.67/1.94 % (3949599)Instruction limit reached!
% 7.67/1.94 % (3949599)------------------------------
% 7.67/1.94 % (3949599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/1.94 % (3949599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94 % (3949599)CaDiCaL version: 2.1.3
% 7.67/1.94 % (3949599)Termination reason: Instruction limit
% 7.67/1.94 % (3949599)Termination phase: Saturation
% 7.67/1.94 % (3949599)Time elapsed: 0.064 s
% 7.67/1.94 % (3949599)Peak memory usage: 87 MB
% 7.67/1.94 % (3949599)Instructions burned: 127 (million)
% 7.67/1.94 % (3949607)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=3839563146:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 7.67/1.94 % (3949607)Instruction limit reached!
% 7.67/1.94 % (3949607)------------------------------
% 7.67/1.94 % (3949607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/1.94 % (3949607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94 % (3949607)CaDiCaL version: 2.1.3
% 7.67/1.94 % (3949607)Termination reason: Instruction limit
% 7.67/1.94 % (3949607)Termination phase: Saturation
% 7.67/1.94 % (3949607)Time elapsed: 0.030 s
% 7.67/1.94 % (3949607)Peak memory usage: 90 MB
% 7.67/1.94 % (3949607)Instructions burned: 111 (million)
% 7.67/1.94 % (3949605)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=578486272:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.67/1.94 % (3949606)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3525191300:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.67/1.94 % (3949608)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3845024942:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 7.67/1.94 % (3949605)Instruction limit reached!
% 7.67/1.94 % (3949605)------------------------------
% 7.67/1.94 % (3949605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/1.94 % (3949605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94 % (3949605)CaDiCaL version: 2.1.3
% 7.67/1.94 % (3949605)Termination reason: Instruction limit
% 7.67/1.94 % (3949605)Termination phase: Saturation
% 7.67/1.94 % (3949605)Time elapsed: 0.091 s
% 7.67/1.94 % (3949605)Peak memory usage: 89 MB
% 7.67/1.94 % (3949605)Instructions burned: 157 (million)
% 7.67/1.94 % (3949608)Instruction limit reached!
% 7.67/1.94 % (3949608)------------------------------
% 7.67/1.94 % (3949608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/1.94 % (3949608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94 % (3949608)CaDiCaL version: 2.1.3
% 7.67/1.94 % (3949608)Termination reason: Instruction limit
% 7.67/1.94 % (3949608)Termination phase: Saturation
% 7.67/1.94 % (3949608)Time elapsed: 0.058 s
% 7.67/1.94 % (3949608)Peak memory usage: 87 MB
% 7.67/1.94 % (3949608)Instructions burned: 107 (million)
% 7.67/1.94 % (3949612)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3077085630:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 7.67/1.94 % (3949612)Instruction limit reached!
% 7.67/1.94 % (3949612)------------------------------
% 7.67/1.94 % (3949612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/1.94 % (3949612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94 % (3949612)CaDiCaL version: 2.1.3
% 7.67/1.94 % (3949612)Termination reason: Instruction limit
% 7.67/1.94 % (3949612)Termination phase: Saturation
% 7.67/1.94 % (3949612)Time elapsed: 0.086 s
% 7.67/1.94 % (3949612)Peak memory usage: 89 MB
% 7.67/1.94 % (3949612)Instructions burned: 244 (million)
% 7.67/1.94 % (3949615)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3491686523:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 7.67/1.94 % (3949614)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1911196713:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 7.67/1.94 % (3949615)Instruction limit reached!
% 7.67/1.94 % (3949615)------------------------------
% 7.67/1.94 % (3949615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/1.94 % (3949615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94 % (3949615)CaDiCaL version: 2.1.3
% 7.67/1.94 % (3949615)Termination reason: Instruction limit
% 7.67/1.94 % (3949615)Termination phase: Saturation
% 7.67/1.94 % (3949615)Time elapsed: 0.050 s
% 7.67/1.94 % (3949615)Peak memory usage: 87 MB
% 7.67/1.94 % (3949615)Instructions burned: 136 (million)
% 7.67/1.94 % (3949617)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1883039501:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 7.67/1.94 % (3949582)First to succeed.
% 7.67/1.94 % (3949582)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3949576"
% 7.67/1.94 % (3949617)Instruction limit reached!
% 7.67/1.94 % (3949617)------------------------------
% 7.67/1.94 % (3949617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/1.94 % (3949617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94 % (3949617)CaDiCaL version: 2.1.3
% 7.67/1.94 % (3949617)Termination reason: Instruction limit
% 7.67/1.94 % (3949617)Termination phase: Saturation
% 7.67/1.94 % (3949617)Time elapsed: 0.142 s
% 7.67/1.94 % (3949617)Peak memory usage: 102 MB
% 7.67/1.94 % (3949617)Instructions burned: 499 (million)
% 7.67/1.94 % (3949620)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1125568746:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 7.67/1.94 % (3949622)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1079429234:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 7.67/1.94 % (3949620)Instruction limit reached!
% 7.67/1.94 % (3949620)------------------------------
% 7.67/1.94 % (3949620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/1.94 % (3949620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94 % (3949620)CaDiCaL version: 2.1.3
% 7.67/1.94 % (3949620)Termination reason: Instruction limit
% 7.67/1.94 % (3949620)Termination phase: Saturation
% 7.67/1.94 % (3949620)Time elapsed: 0.106 s
% 7.67/1.94 % (3949620)Peak memory usage: 91 MB
% 9.59/2.13 % (3949620)Instructions burned: 191 (million)
% 9.59/2.13 % (3949622)Instruction limit reached!
% 9.59/2.13 % (3949622)------------------------------
% 9.59/2.13 % (3949622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.13 % (3949622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.13 % (3949622)CaDiCaL version: 2.1.3
% 9.59/2.13 % (3949622)Termination reason: Instruction limit
% 9.59/2.13 % (3949622)Termination phase: Saturation
% 9.59/2.13 % (3949622)Time elapsed: 0.048 s
% 9.59/2.13 % (3949622)Peak memory usage: 87 MB
% 9.59/2.13 % (3949622)Instructions burned: 268 (million)
% 9.59/2.13 % (3949582)Refutation found. Thanks to Tanya!
% 9.59/2.13 % SZS status Unsatisfiable for theBenchmark
% 9.59/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 9.72/2.13 % (3949582)------------------------------
% 9.72/2.13 % (3949582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.13 % (3949582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.13 % (3949582)CaDiCaL version: 2.1.3
% 9.72/2.13 % (3949582)Termination reason: Refutation
% 9.72/2.13 % (3949582)Time elapsed: 0.845 s
% 9.72/2.13 % (3949582)Peak memory usage: 129 MB
% 9.72/2.13 % (3949582)Instructions burned: 1308 (million)
% 9.72/2.13 % (3949582)------------------------------
% 9.72/2.13 % (3949582)------------------------------
% 9.72/2.13 % (3949576)Success in time 1.275 s
% 9.72/2.13 % Vampire exiting
%------------------------------------------------------------------------------