%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD014-1 : 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 : n001.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 10.26s 2.03s
% Output : Refutation 10.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 7 unt; 0 def)
% Number of atoms : 178 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 266 ( 135 ~; 131 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 100 ( 100 !; 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(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,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(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_3) ).
fof(f31,negated_conjecture,
~ equalish(additive_inverse(a),additive_inverse(b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_not_equal_to_additive_inverse_4) ).
fof(f32,plain,
equalish(b,a),
inference(resolution,[],[f22,f30]) ).
fof(f36,plain,
! [X0,X1] :
( ~ equalish(X1,add(X0,additive_inverse(X0)))
| ~ defined(X0)
| equalish(X1,additive_identity) ),
inference(resolution,[],[f3,f23]) ).
fof(f38,plain,
! [X0,X1] :
( ~ equalish(X1,add(additive_identity,X0))
| ~ defined(X0)
| equalish(X1,X0) ),
inference(resolution,[],[f2,f23]) ).
fof(f57,plain,
! [X0,X1] :
( ~ defined(additive_inverse(X0))
| ~ equalish(X1,X0)
| ~ defined(X0)
| equalish(add(X1,additive_inverse(X0)),additive_identity) ),
inference(resolution,[],[f24,f36]) ).
fof(f58,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,additive_identity)
| ~ defined(X0)
| equalish(add(X1,X0),X0) ),
inference(resolution,[],[f24,f38]) ).
fof(f61,plain,
! [X0,X1] :
( equalish(add(X1,X0),X0)
| ~ equalish(X1,additive_identity)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f58]) ).
fof(f62,plain,
! [X0,X1] :
( equalish(add(X1,additive_inverse(X0)),additive_identity)
| ~ defined(X0)
| ~ equalish(X1,X0) ),
inference(forward_subsumption_resolution,[],[f57,f12]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(X0,X1))
| ~ defined(X1)
| ~ equalish(X0,additive_identity)
| equalish(X2,X1) ),
inference(resolution,[],[f61,f23]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(X0,add(X1,X2)))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,add(add(X0,X1),X2)) ),
inference(resolution,[],[f1,f23]) ).
fof(f420,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(add(X0,X1))
| ~ defined(X2) ),
inference(resolution,[],[f401,f4]) ).
fof(f431,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(add(X0,X1)) ),
inference(duplicate_literal_removal,[],[f420]) ).
fof(f435,plain,
! [X2,X0,X1] :
( equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f431,f10]) ).
fof(f449,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(add(X1,X2),additive_identity)
| equalish(add(add(X2,X0),X1),X0) ),
inference(resolution,[],[f435,f63]) ).
fof(f455,plain,
! [X2,X0,X1] :
( equalish(add(add(X2,X0),X1),X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(add(X1,X2),additive_identity)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f449]) ).
fof(f494,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(add(X1,X2),X0))
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,X2) ),
inference(resolution,[],[f455,f23]) ).
fof(f519,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X2)
| ~ defined(X1)
| equalish(add(add(X2,X1),X0),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(X2) ),
inference(resolution,[],[f494,f435]) ).
fof(f529,plain,
! [X2,X0,X1] :
( equalish(add(add(X2,X1),X0),X2)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X2)
| ~ defined(X1)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f519]) ).
fof(f538,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(add(X2,X0),X1))
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| equalish(X3,X2) ),
inference(resolution,[],[f529,f23]) ).
fof(f562,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(add(X1,X2),additive_identity)
| equalish(add(X3,X2),X0)
| ~ defined(X2)
| ~ equalish(X3,add(X0,X1)) ),
inference(resolution,[],[f538,f24]) ).
fof(f577,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X1,X2),additive_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(add(X3,X2),X0)
| ~ equalish(X3,add(X0,X1)) ),
inference(duplicate_literal_removal,[],[f562]) ).
fof(f582,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(additive_inverse(X0))
| ~ defined(X1)
| equalish(add(X2,additive_inverse(X0)),X1)
| ~ equalish(X2,add(X1,X0))
| ~ defined(X0) ),
inference(resolution,[],[f577,f3]) ).
fof(f604,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(additive_inverse(X0))
| ~ defined(X1)
| equalish(add(X2,additive_inverse(X0)),X1)
| ~ equalish(X2,add(X1,X0)) ),
inference(duplicate_literal_removal,[],[f582]) ).
fof(f613,plain,
! [X2,X0,X1] :
( equalish(add(X2,additive_inverse(X0)),X1)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,add(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f604,f12]) ).
fof(f621,plain,
! [X2,X0,X1] :
( equalish(X0,add(X2,additive_inverse(X1)))
| ~ defined(X1)
| ~ equalish(X2,add(X0,X1))
| ~ defined(X0) ),
inference(resolution,[],[f613,f22]) ).
fof(f677,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,add(X2,X0))
| ~ defined(X2)
| ~ defined(additive_inverse(X0))
| ~ equalish(X1,additive_identity)
| equalish(X2,additive_inverse(X0)) ),
inference(resolution,[],[f621,f63]) ).
fof(f695,plain,
! [X2,X0,X1] :
( ~ equalish(X1,add(X2,X0))
| ~ defined(X0)
| ~ defined(X2)
| ~ equalish(X1,additive_identity)
| equalish(X2,additive_inverse(X0)) ),
inference(forward_subsumption_resolution,[],[f677,f12]) ).
fof(f706,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| equalish(X1,additive_inverse(X0))
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f695,f4]) ).
fof(f724,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X1)
| ~ defined(X0)
| equalish(X1,additive_inverse(X0)) ),
inference(duplicate_literal_removal,[],[f706]) ).
fof(f758,plain,
! [X0,X1] :
( ~ defined(additive_inverse(X0))
| ~ defined(X1)
| equalish(additive_inverse(X0),additive_inverse(X1))
| ~ defined(X0)
| ~ equalish(X1,X0) ),
inference(resolution,[],[f724,f62]) ).
fof(f788,plain,
! [X0,X1] :
( equalish(additive_inverse(X0),additive_inverse(X1))
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X1,X0) ),
inference(forward_subsumption_resolution,[],[f758,f12]) ).
fof(f862,plain,
( ~ defined(b)
| ~ defined(a)
| ~ equalish(b,a) ),
inference(resolution,[],[f788,f31]) ).
fof(f867,plain,
( ~ defined(a)
| ~ equalish(b,a) ),
inference(forward_subsumption_resolution,[],[f862,f29]) ).
fof(f868,plain,
~ equalish(b,a),
inference(forward_subsumption_resolution,[],[f867,f28]) ).
fof(f869,plain,
$false,
inference(forward_subsumption_resolution,[],[f868,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD014-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n001.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 00:32:05 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.09/1.60 % (902997)Input is clausal, will run a generic CNF schedule.
% 7.09/1.60 % (903008)dis-21_1_sil=8000:lcm=predicate:random_seed=3306608832: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)
% 7.09/1.60 % (903002)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=3619627233:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.09/1.60 % (903006)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2846828985:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.09/1.60 % (903004)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1808023805:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.09/1.60 % (903005)lrs+10_1_sil=8000:sp=occurrence:random_seed=1088167178:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.09/1.60 % (903007)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1142220651:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.09/1.60 % (903003)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3509944083:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.09/1.60 % (903008)Instruction limit reached!
% 7.09/1.60 % (903008)------------------------------
% 7.09/1.60 % (903008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/1.60 % (903008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.60 % (903008)CaDiCaL version: 2.1.3
% 7.09/1.60 % (903008)Termination reason: Instruction limit
% 7.09/1.60 % (903008)Termination phase: Saturation
% 7.09/1.60 % (903008)Time elapsed: 0.041 s
% 7.09/1.60 % (903008)Peak memory usage: 89 MB
% 7.09/1.60 % (903008)Instructions burned: 118 (million)
% 7.09/1.60 % (903005)Instruction limit reached!
% 7.09/1.60 % (903005)------------------------------
% 7.09/1.60 % (903005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/1.60 % (903005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.60 % (903005)CaDiCaL version: 2.1.3
% 7.09/1.60 % (903005)Termination reason: Instruction limit
% 7.09/1.60 % (903005)Termination phase: Saturation
% 7.09/1.60 % (903005)Time elapsed: 0.067 s
% 7.09/1.60 % (903005)Peak memory usage: 89 MB
% 7.09/1.60 % (903005)Instructions burned: 107 (million)
% 7.09/1.60 % (903006)Instruction limit reached!
% 7.09/1.60 % (903006)------------------------------
% 7.09/1.60 % (903006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/1.60 % (903006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.60 % (903006)CaDiCaL version: 2.1.3
% 7.09/1.60 % (903006)Termination reason: Instruction limit
% 7.09/1.60 % (903006)Termination phase: Saturation
% 7.09/1.60 % (903006)Time elapsed: 0.069 s
% 7.09/1.60 % (903006)Peak memory usage: 88 MB
% 7.09/1.60 % (903006)Instructions burned: 115 (million)
% 7.09/1.60 % (903016)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=2710684718:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.09/1.60 % (903007)Instruction limit reached!
% 7.09/1.60 % (903007)------------------------------
% 7.09/1.60 % (903007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/1.60 % (903007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.60 % (903007)CaDiCaL version: 2.1.3
% 7.09/1.60 % (903007)Termination reason: Instruction limit
% 7.09/1.60 % (903007)Termination phase: Saturation
% 7.09/1.60 % (903007)Time elapsed: 0.117 s
% 7.09/1.60 % (903007)Peak memory usage: 89 MB
% 7.09/1.60 % (903007)Instructions burned: 182 (million)
% 7.09/1.60 % (903016)Instruction limit reached!
% 7.09/1.60 % (903016)------------------------------
% 7.09/1.60 % (903016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/1.60 % (903016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.60 % (903016)CaDiCaL version: 2.1.3
% 7.09/1.60 % (903016)Termination reason: Instruction limit
% 7.09/1.60 % (903016)Termination phase: Saturation
% 7.09/1.60 % (903016)Time elapsed: 0.044 s
% 7.09/1.60 % (903016)Peak memory usage: 89 MB
% 7.09/1.60 % (903016)Instructions burned: 147 (million)
% 7.09/1.60 % (903018)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2571251930:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.97/1.85 % (903017)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2890200596: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)
% 8.97/1.85 % (903021)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=724736612:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 8.97/1.85 % (903020)lrs+10_64_to=lpo:sil=8000:random_seed=539328057:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.97/1.85 % (903021)Instruction limit reached!
% 8.97/1.85 % (903021)------------------------------
% 8.97/1.85 % (903021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/1.85 % (903021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.85 % (903021)CaDiCaL version: 2.1.3
% 8.97/1.85 % (903021)Termination reason: Instruction limit
% 8.97/1.85 % (903021)Termination phase: Saturation
% 8.97/1.85 % (903021)Time elapsed: 0.053 s
% 8.97/1.85 % (903021)Peak memory usage: 88 MB
% 8.97/1.85 % (903021)Instructions burned: 196 (million)
% 8.97/1.85 % (903017)Instruction limit reached!
% 8.97/1.85 % (903017)------------------------------
% 8.97/1.85 % (903017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/1.85 % (903017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.85 % (903017)CaDiCaL version: 2.1.3
% 8.97/1.85 % (903017)Termination reason: Instruction limit
% 8.97/1.85 % (903017)Termination phase: Saturation
% 8.97/1.85 % (903017)Time elapsed: 0.095 s
% 8.97/1.85 % (903017)Peak memory usage: 94 MB
% 8.97/1.85 % (903017)Instructions burned: 190 (million)
% 8.97/1.85 % (903020)Instruction limit reached!
% 8.97/1.85 % (903020)------------------------------
% 8.97/1.85 % (903020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/1.85 % (903020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.85 % (903020)CaDiCaL version: 2.1.3
% 8.97/1.85 % (903020)Termination reason: Instruction limit
% 8.97/1.85 % (903020)Termination phase: Saturation
% 8.97/1.85 % (903020)Time elapsed: 0.073 s
% 8.97/1.85 % (903020)Peak memory usage: 89 MB
% 8.97/1.85 % (903020)Instructions burned: 126 (million)
% 8.97/1.85 % (903018)Instruction limit reached!
% 8.97/1.85 % (903018)------------------------------
% 8.97/1.85 % (903018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/1.85 % (903018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.85 % (903018)CaDiCaL version: 2.1.3
% 8.97/1.85 % (903018)Termination reason: Instruction limit
% 8.97/1.85 % (903018)Termination phase: Saturation
% 8.97/1.85 % (903018)Time elapsed: 0.140 s
% 8.97/1.85 % (903018)Peak memory usage: 89 MB
% 8.97/1.85 % (903018)Instructions burned: 220 (million)
% 8.97/1.85 % (903026)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=955503546:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.97/1.85 % (903026)Instruction limit reached!
% 8.97/1.85 % (903026)------------------------------
% 8.97/1.85 % (903026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/1.85 % (903026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.85 % (903026)CaDiCaL version: 2.1.3
% 8.97/1.85 % (903026)Termination reason: Instruction limit
% 8.97/1.85 % (903026)Termination phase: Saturation
% 8.97/1.85 % (903026)Time elapsed: 0.057 s
% 8.97/1.85 % (903026)Peak memory usage: 90 MB
% 8.97/1.85 % (903026)Instructions burned: 157 (million)
% 8.97/1.85 % (903027)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3757685334:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 8.97/1.85 % (903028)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=2484378885:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 8.97/1.85 % (903029)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1835326269:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 8.97/1.85 % (903031)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1494898815:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 8.97/1.85 % (903028)Instruction limit reached!
% 8.97/1.85 % (903028)------------------------------
% 8.97/1.85 % (903028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/1.85 % (903028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.85 % (903028)CaDiCaL version: 2.1.3
% 8.97/1.85 % (903028)Termination reason: Instruction limit
% 8.97/1.85 % (903028)Termination phase: Saturation
% 8.97/1.85 % (903028)Time elapsed: 0.055 s
% 8.97/1.85 % (903028)Peak memory usage: 89 MB
% 8.97/1.85 % (903028)Instructions burned: 108 (million)
% 8.97/1.85 % (903029)Instruction limit reached!
% 8.97/1.85 % (903029)------------------------------
% 8.97/1.85 % (903029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/1.85 % (903029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.85 % (903029)CaDiCaL version: 2.1.3
% 8.97/1.85 % (903029)Termination reason: Instruction limit
% 8.97/1.85 % (903029)Termination phase: Saturation
% 8.97/1.85 % (903029)Time elapsed: 0.064 s
% 8.97/1.85 % (903029)Peak memory usage: 88 MB
% 8.97/1.85 % (903029)Instructions burned: 108 (million)
% 8.97/1.85 % (903031)Instruction limit reached!
% 8.97/1.85 % (903031)------------------------------
% 8.97/1.85 % (903031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/1.85 % (903031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.85 % (903031)CaDiCaL version: 2.1.3
% 8.97/1.85 % (903031)Termination reason: Instruction limit
% 8.97/1.85 % (903031)Termination phase: Saturation
% 8.97/1.85 % (903031)Time elapsed: 0.087 s
% 8.97/1.85 % (903031)Peak memory usage: 89 MB
% 8.97/1.85 % (903031)Instructions burned: 245 (million)
% 8.97/1.85 % (903037)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=628859960:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 8.97/1.85 % (903036)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3918789413:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 8.97/1.85 % (903038)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1821107921:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 8.97/1.85 % (903037)Instruction limit reached!
% 8.97/1.85 % (903037)------------------------------
% 8.97/1.85 % (903037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/1.85 % (903037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.85 % (903037)CaDiCaL version: 2.1.3
% 8.97/1.85 % (903037)Termination reason: Instruction limit
% 8.97/1.85 % (903037)Termination phase: Saturation
% 8.97/1.85 % (903037)Time elapsed: 0.087 s
% 8.97/1.85 % (903037)Peak memory usage: 89 MB
% 8.97/1.85 % (903037)Instructions burned: 134 (million)
% 8.97/1.85 % (903038)Instruction limit reached!
% 8.97/1.85 % (903038)------------------------------
% 8.97/1.85 % (903038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/1.85 % (903038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.85 % (903038)CaDiCaL version: 2.1.3
% 8.97/1.85 % (903038)Termination reason: Instruction limit
% 8.97/1.85 % (903038)Termination phase: Saturation
% 8.97/1.85 % (903038)Time elapsed: 0.136 s
% 8.97/1.85 % (903038)Peak memory usage: 104 MB
% 8.97/1.85 % (903038)Instructions burned: 502 (million)
% 8.97/1.85 % (903042)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1601017071:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 8.97/1.85 % (903043)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3060470920:i=264:kws=precedence:fsr=off_2990 on theBenchmark for (2990ds/264Mi)
% 8.97/1.85 % (903042)Instruction limit reached!
% 8.97/1.85 % (903042)------------------------------
% 8.97/1.85 % (903042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/1.85 % (903042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.85 % (903042)CaDiCaL version: 2.1.3
% 8.97/1.85 % (903042)Termination reason: Instruction limit
% 8.97/1.85 % (903042)Termination phase: Saturation
% 8.97/1.85 % (903042)Time elapsed: 0.121 s
% 8.97/1.85 % (903042)Peak memory usage: 91 MB
% 8.97/1.85 % (903042)Instructions burned: 192 (million)
% 8.97/1.85 % (903043)Instruction limit reached!
% 8.97/1.85 % (903043)------------------------------
% 8.97/1.85 % (903043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/1.85 % (903043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.26/2.03 % (903043)CaDiCaL version: 2.1.3
% 10.26/2.03 % (903043)Termination reason: Instruction limit
% 10.26/2.03 % (903043)Termination phase: Saturation
% 10.26/2.03 % (903043)Time elapsed: 0.081 s
% 10.26/2.03 % (903043)Peak memory usage: 89 MB
% 10.26/2.03 % (903043)Instructions burned: 267 (million)
% 10.26/2.03 % (903027)First to succeed.
% 10.26/2.03 % (903027)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-902997"
% 10.26/2.03 % (903047)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=4141571707:i=3256:kws=precedence:bd=preordered:av=off_2988 on theBenchmark for (2988ds/3256Mi)
% 10.26/2.03 % (903046)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=129272226:cond=on:i=156:bs=on:gtg=exists_all:er=known_2988 on theBenchmark for (2988ds/156Mi)
% 10.26/2.03 % (903046)Instruction limit reached!
% 10.26/2.03 % (903046)------------------------------
% 10.26/2.03 % (903046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.26/2.03 % (903046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.26/2.03 % (903046)CaDiCaL version: 2.1.3
% 10.26/2.03 % (903046)Termination reason: Instruction limit
% 10.26/2.03 % (903046)Termination phase: Saturation
% 10.26/2.03 % (903046)Time elapsed: 0.066 s
% 10.26/2.03 % (903046)Peak memory usage: 87 MB
% 10.26/2.03 % (903046)Instructions burned: 158 (million)
% 10.26/2.03 % (903027)Refutation found. Thanks to Tanya!
% 10.26/2.03 % SZS status Unsatisfiable for theBenchmark
% 10.26/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 10.26/2.03 % (903027)------------------------------
% 10.26/2.03 % (903027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.26/2.03 % (903027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.26/2.03 % (903027)CaDiCaL version: 2.1.3
% 10.26/2.03 % (903027)Termination reason: Refutation
% 10.26/2.03 % (903027)Time elapsed: 0.669 s
% 10.26/2.03 % (903027)Peak memory usage: 129 MB
% 10.26/2.03 % (903027)Instructions burned: 1107 (million)
% 10.26/2.03 % (903027)------------------------------
% 10.26/2.03 % (903027)------------------------------
% 10.26/2.03 % (902997)Success in time 1.412 s
% 10.26/2.03 % Vampire exiting
%------------------------------------------------------------------------------