%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD020-1 : 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 : n013.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 09:49:02 AM UTC 2026
% Result : Unsatisfiable 0.20s 1.70s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 14
% Syntax : Number of formulae : 51 ( 11 unt; 1 def)
% Number of atoms : 151 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 232 ( 132 ~; 100 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f10,axiom,
! [X0,X1] :
( defined(add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_addition) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,axiom,
defined(m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_is_defined) ).
fof(f30,negated_conjecture,
equalish(add(m,a),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_equals_a_3) ).
fof(f31,negated_conjecture,
~ equalish(m,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_not_equal_to_additive_identity_4) ).
fof(f32,definition,
sF0 = add(m,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f33,plain,
add(m,a) = sF0,
inference(reorient_equations,[],[f32]) ).
fof(f34,plain,
equalish(sF0,a),
inference(definition_folding,[],[f30,f33]) ).
fof(f36,plain,
! [X0] :
( ~ equalish(m,X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f23,f31]) ).
fof(f42,plain,
( equalish(add(a,m),sF0)
| ~ defined(a)
| ~ defined(m) ),
inference(superposition,[],[f4,f33]) ).
fof(f43,plain,
( equalish(add(a,m),sF0)
| ~ defined(m) ),
inference(forward_subsumption_resolution,[],[f42,f28]) ).
fof(f45,plain,
equalish(add(a,m),sF0),
inference(forward_subsumption_resolution,[],[f43,f29]) ).
fof(f48,plain,
! [X0] :
( ~ equalish(X0,m)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f36,f22]) ).
fof(f76,plain,
( ~ equalish(add(additive_identity,m),additive_identity)
| ~ defined(m) ),
inference(resolution,[],[f48,f2]) ).
fof(f77,plain,
~ equalish(add(additive_identity,m),additive_identity),
inference(forward_subsumption_resolution,[],[f76,f29]) ).
fof(f78,plain,
! [X0] :
( ~ equalish(add(additive_identity,m),X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f77,f23]) ).
fof(f84,plain,
! [X0] :
( ~ equalish(X0,add(additive_identity,m))
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f78,f22]) ).
fof(f222,plain,
! [X0] :
( ~ equalish(add(X0,m),additive_identity)
| ~ defined(m)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f84,f24]) ).
fof(f234,plain,
! [X0] :
( ~ equalish(add(X0,m),additive_identity)
| ~ equalish(X0,additive_identity) ),
inference(forward_subsumption_resolution,[],[f222,f29]) ).
fof(f235,plain,
! [X0,X1] :
( ~ equalish(add(X0,m),X1)
| ~ equalish(X0,additive_identity)
| ~ equalish(X1,additive_identity) ),
inference(resolution,[],[f234,f23]) ).
fof(f238,plain,
! [X0] :
( ~ equalish(X0,additive_identity)
| ~ equalish(add(m,X0),additive_identity)
| ~ defined(X0)
| ~ defined(m) ),
inference(resolution,[],[f235,f4]) ).
fof(f244,plain,
! [X0] :
( ~ equalish(add(m,X0),additive_identity)
| ~ equalish(X0,additive_identity)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f238,f29]) ).
fof(f249,plain,
! [X0,X1] :
( ~ equalish(add(m,X0),X1)
| ~ defined(X0)
| ~ equalish(X0,additive_identity)
| ~ equalish(X1,additive_identity) ),
inference(resolution,[],[f244,f23]) ).
fof(f255,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(add(m,X0),X1),additive_identity)
| ~ defined(m)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f249,f1]) ).
fof(f263,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(add(m,X0),X1),additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f255,f29]) ).
fof(f269,plain,
! [X0,X1] :
( ~ equalish(add(add(m,X0),X1),additive_identity)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f263,f10]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(m,X0),X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(X2,additive_identity) ),
inference(resolution,[],[f269,f23]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(X2,X1),additive_identity)
| ~ defined(X1)
| ~ equalish(add(m,X0),X2) ),
inference(resolution,[],[f271,f24]) ).
fof(f284,plain,
! [X2,X0,X1] :
( ~ equalish(add(m,X0),X2)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(X2,X1),additive_identity)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f276]) ).
fof(f289,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),additive_identity)
| ~ equalish(add(add(X1,m),X0),additive_identity)
| ~ defined(X1)
| ~ defined(m)
| ~ defined(X1) ),
inference(resolution,[],[f284,f4]) ).
fof(f295,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),additive_identity)
| ~ equalish(add(add(X1,m),X0),additive_identity)
| ~ defined(X1)
| ~ defined(m) ),
inference(duplicate_literal_removal,[],[f289]) ).
fof(f299,plain,
! [X0,X1] :
( ~ equalish(add(add(X1,m),X0),additive_identity)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f295,f29]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(X0,m),X1),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(X2,additive_identity) ),
inference(resolution,[],[f299,f23]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X1,X0),additive_identity)
| ~ equalish(add(X2,X0),additive_identity)
| ~ defined(X0)
| ~ equalish(add(X1,m),X2) ),
inference(resolution,[],[f304,f24]) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ equalish(add(X2,X0),additive_identity)
| ~ defined(X1)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X0)
| ~ equalish(add(X1,m),X2) ),
inference(duplicate_literal_removal,[],[f308]) ).
fof(f317,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X0,additive_inverse(X1)),additive_identity)
| ~ defined(additive_inverse(X1))
| ~ equalish(add(X0,m),X1)
| ~ defined(X1) ),
inference(resolution,[],[f315,f3]) ).
fof(f324,plain,
! [X0,X1] :
( ~ equalish(add(X0,additive_inverse(X1)),additive_identity)
| ~ defined(X0)
| ~ equalish(add(X0,m),X1)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f317,f12]) ).
fof(f325,plain,
! [X0] :
( ~ defined(X0)
| ~ equalish(add(X0,m),X0)
| ~ defined(X0)
| ~ defined(X0) ),
inference(resolution,[],[f324,f3]) ).
fof(f328,plain,
! [X0] :
( ~ equalish(add(X0,m),X0)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f325]) ).
fof(f330,plain,
! [X0,X1] :
( ~ equalish(add(X0,m),X1)
| ~ defined(X0)
| ~ equalish(X1,X0) ),
inference(resolution,[],[f328,f23]) ).
fof(f340,plain,
( ~ defined(a)
| ~ equalish(sF0,a) ),
inference(resolution,[],[f330,f45]) ).
fof(f345,plain,
~ equalish(sF0,a),
inference(forward_subsumption_resolution,[],[f340,f28]) ).
fof(f348,plain,
$false,
inference(forward_subsumption_resolution,[],[f345,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD020-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n013.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 00:27:21 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running first-order theorem proving
% 0.06/0.22 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
% 4.51/1.51 % (1743462)Input is clausal, will run a generic CNF schedule.
% 4.51/1.51 % (1743472)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2758488922:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.51/1.51 % (1743473)dis-21_1_sil=8000:lcm=predicate:random_seed=1120265127: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)
% 4.51/1.51 % (1743470)lrs+10_1_sil=8000:sp=occurrence:random_seed=3793236405:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.51/1.51 % (1743471)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=222966862:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.51/1.51 % (1743468)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=540378866:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.51/1.51 % (1743467)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=1147790126:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.51/1.51 % (1743469)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3142077429:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.51/1.51 % (1743472)Instruction limit reached!
% 4.51/1.51 % (1743472)------------------------------
% 4.51/1.51 % (1743472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.51 % (1743472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.51 % (1743472)CaDiCaL version: 2.1.3
% 4.51/1.51 % (1743472)Termination reason: Instruction limit
% 4.51/1.51 % (1743472)Termination phase: Saturation
% 4.51/1.51 % (1743472)Time elapsed: 0.066 s
% 4.51/1.51 % (1743472)Peak memory usage: 89 MB
% 4.51/1.51 % (1743472)Instructions burned: 182 (million)
% 4.51/1.51 % (1743470)Instruction limit reached!
% 4.51/1.51 % (1743470)------------------------------
% 4.51/1.51 % (1743470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.51 % (1743470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.51 % (1743470)CaDiCaL version: 2.1.3
% 4.51/1.51 % (1743470)Termination reason: Instruction limit
% 4.51/1.51 % (1743470)Termination phase: Saturation
% 4.51/1.51 % (1743470)Time elapsed: 0.068 s
% 4.51/1.51 % (1743470)Peak memory usage: 89 MB
% 4.51/1.51 % (1743470)Instructions burned: 107 (million)
% 4.51/1.51 % (1743471)Instruction limit reached!
% 4.51/1.51 % (1743471)------------------------------
% 4.51/1.51 % (1743471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.51 % (1743471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.51 % (1743471)CaDiCaL version: 2.1.3
% 4.51/1.51 % (1743471)Termination reason: Instruction limit
% 4.51/1.51 % (1743471)Termination phase: Saturation
% 4.51/1.51 % (1743471)Time elapsed: 0.068 s
% 4.51/1.51 % (1743471)Peak memory usage: 88 MB
% 4.51/1.51 % (1743471)Instructions burned: 115 (million)
% 4.51/1.51 % (1743473)Instruction limit reached!
% 4.51/1.51 % (1743473)------------------------------
% 4.51/1.51 % (1743473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.51 % (1743473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.51 % (1743473)CaDiCaL version: 2.1.3
% 4.51/1.51 % (1743473)Termination reason: Instruction limit
% 4.51/1.51 % (1743473)Termination phase: Saturation
% 4.51/1.51 % (1743473)Time elapsed: 0.075 s
% 4.51/1.51 % (1743473)Peak memory usage: 89 MB
% 4.51/1.51 % (1743473)Instructions burned: 118 (million)
% 4.51/1.51 % (1743481)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=3615499114:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.51/1.51 % (1743481)Instruction limit reached!
% 4.51/1.51 % (1743481)------------------------------
% 4.51/1.51 % (1743481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.51 % (1743481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.51 % (1743481)CaDiCaL version: 2.1.3
% 4.51/1.51 % (1743481)Termination reason: Instruction limit
% 4.51/1.51 % (1743481)Termination phase: Saturation
% 4.51/1.51 % (1743481)Time elapsed: 0.045 s
% 4.51/1.51 % (1743481)Peak memory usage: 89 MB
% 4.51/1.51 % (1743481)Instructions burned: 143 (million)
% 4.51/1.51 % (1743482)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2090314584: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)
% 4.51/1.51 % (1743484)lrs+10_64_to=lpo:sil=8000:random_seed=3372285653:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.51/1.51 % (1743483)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1593989486:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.51/1.51 % (1743484)Instruction limit reached!
% 4.51/1.51 % (1743484)------------------------------
% 4.51/1.51 % (1743484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.51 % (1743484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.51 % (1743484)CaDiCaL version: 2.1.3
% 4.51/1.51 % (1743484)Termination reason: Instruction limit
% 4.51/1.51 % (1743484)Termination phase: Saturation
% 4.51/1.51 % (1743484)Time elapsed: 0.076 s
% 4.51/1.51 % (1743484)Peak memory usage: 88 MB
% 4.51/1.51 % (1743484)Instructions burned: 126 (million)
% 4.51/1.51 % (1743482)Instruction limit reached!
% 4.51/1.51 % (1743482)------------------------------
% 4.51/1.51 % (1743482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.51 % (1743482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.51 % (1743482)CaDiCaL version: 2.1.3
% 4.51/1.51 % (1743482)Termination reason: Instruction limit
% 4.51/1.51 % (1743482)Termination phase: Saturation
% 4.51/1.51 % (1743482)Time elapsed: 0.097 s
% 4.51/1.51 % (1743482)Peak memory usage: 94 MB
% 4.51/1.51 % (1743482)Instructions burned: 190 (million)
% 4.51/1.51 % (1743486)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=376047215:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 4.51/1.51 % (1743483)Instruction limit reached!
% 4.51/1.51 % (1743483)------------------------------
% 4.51/1.51 % (1743483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.51 % (1743483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.51 % (1743483)CaDiCaL version: 2.1.3
% 4.51/1.51 % (1743483)Termination reason: Instruction limit
% 4.51/1.51 % (1743483)Termination phase: Saturation
% 4.51/1.51 % (1743483)Time elapsed: 0.132 s
% 4.51/1.51 % (1743483)Peak memory usage: 89 MB
% 4.51/1.51 % (1743483)Instructions burned: 220 (million)
% 4.51/1.51 % (1743486)Instruction limit reached!
% 4.51/1.51 % (1743486)------------------------------
% 4.51/1.51 % (1743486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.51 % (1743486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.51 % (1743486)CaDiCaL version: 2.1.3
% 4.51/1.51 % (1743486)Termination reason: Instruction limit
% 4.51/1.51 % (1743486)Termination phase: Saturation
% 4.51/1.51 % (1743486)Time elapsed: 0.069 s
% 4.51/1.51 % (1743486)Peak memory usage: 89 MB
% 4.51/1.51 % (1743486)Instructions burned: 196 (million)
% 4.51/1.51 % (1743490)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4171443543:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.51/1.51 % (1743491)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=466543576:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.51/1.51 % (1743493)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=1722441539:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 4.51/1.51 % (1743494)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=951355264:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 4.51/1.51 % (1743494)Instruction limit reached!
% 4.51/1.51 % (1743494)------------------------------
% 4.51/1.51 % (1743494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.51 % (1743494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.51 % (1743494)CaDiCaL version: 2.1.3
% 4.51/1.51 % (1743494)Termination reason: Instruction limit
% 4.51/1.51 % (1743494)Termination phase: Saturation
% 4.51/1.51 % (1743494)Time elapsed: 0.036 s
% 4.51/1.51 % (1743494)Peak memory usage: 89 MB
% 4.51/1.51 % (1743494)Instructions burned: 111 (million)
% 4.51/1.51 % (1743490)Instruction limit reached!
% 4.51/1.51 % (1743490)------------------------------
% 4.51/1.51 % (1743490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.70 % (1743490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.70 % (1743490)CaDiCaL version: 2.1.3
% 0.20/1.70 % (1743490)Termination reason: Instruction limit
% 0.20/1.70 % (1743490)Termination phase: Saturation
% 0.20/1.70 % (1743490)Time elapsed: 0.115 s
% 0.20/1.70 % (1743490)Peak memory usage: 91 MB
% 0.20/1.70 % (1743490)Instructions burned: 157 (million)
% 0.20/1.70 % (1743493)Instruction limit reached!
% 0.20/1.70 % (1743493)------------------------------
% 0.20/1.70 % (1743493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.70 % (1743493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.70 % (1743493)CaDiCaL version: 2.1.3
% 0.20/1.70 % (1743493)Termination reason: Instruction limit
% 0.20/1.70 % (1743493)Termination phase: Saturation
% 0.20/1.70 % (1743493)Time elapsed: 0.055 s
% 0.20/1.70 % (1743493)Peak memory usage: 89 MB
% 0.20/1.70 % (1743493)Instructions burned: 107 (million)
% 0.20/1.70 % (1743469)First to succeed.
% 0.20/1.70 % (1743499)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1056371584:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 0.20/1.70 % (1743469)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1743462"
% 0.20/1.70 % (1743467)Also succeeded, but the first one will report.
% 0.20/1.70 % (1743500)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=822792214:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 0.20/1.70 % (1743501)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2460655811:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 0.20/1.70 % (1743499)Instruction limit reached!
% 0.20/1.70 % (1743499)------------------------------
% 0.20/1.70 % (1743499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.70 % (1743499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.70 % (1743499)CaDiCaL version: 2.1.3
% 0.20/1.70 % (1743499)Termination reason: Instruction limit
% 0.20/1.70 % (1743499)Termination phase: Saturation
% 0.20/1.70 % (1743499)Time elapsed: 0.088 s
% 0.20/1.70 % (1743499)Peak memory usage: 89 MB
% 0.20/1.70 % (1743499)Instructions burned: 243 (million)
% 0.20/1.70 % (1743501)Instruction limit reached!
% 0.20/1.70 % (1743501)------------------------------
% 0.20/1.70 % (1743501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.70 % (1743501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.70 % (1743501)CaDiCaL version: 2.1.3
% 0.20/1.70 % (1743501)Termination reason: Instruction limit
% 0.20/1.70 % (1743501)Termination phase: Saturation
% 0.20/1.70 % (1743501)Time elapsed: 0.091 s
% 0.20/1.70 % (1743501)Peak memory usage: 89 MB
% 0.20/1.70 % (1743501)Instructions burned: 134 (million)
% 0.20/1.70 % (1743505)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2575211905:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 0.20/1.70 % (1743469)Refutation found. Thanks to Tanya!
% 0.20/1.70 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.70 % (1743469)------------------------------
% 0.20/1.70 % (1743469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.70 % (1743469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.70 % (1743469)CaDiCaL version: 2.1.3
% 0.20/1.70 % (1743469)Termination reason: Refutation
% 0.20/1.70 % (1743469)Time elapsed: 0.668 s
% 0.20/1.70 % (1743469)Peak memory usage: 127 MB
% 0.20/1.70 % (1743469)Instructions burned: 983 (million)
% 0.20/1.70 % (1743469)------------------------------
% 0.20/1.70 % (1743469)------------------------------
% 0.20/1.70 % (1743462)Success in time 1.088 s
% 0.20/1.70 % Vampire exiting
%------------------------------------------------------------------------------