%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL078-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:37:52 AM UTC 2026
% Result : Unsatisfiable 0.30s 2.81s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 22 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : apply(k(X0),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).
fof(f6,axiom,
! [X2,X0,X1] : apply(apply(apply(abstraction,X0),X1),X2) = apply(apply(X0,k(X2)),apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstraction) ).
fof(f7,axiom,
! [X0] : apply(eq,pair(X0,X0)) = projection1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality) ).
fof(f8,plain,
! [X0] : projection1 = apply(eq,pair(X0,X0)),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0,X1] :
( X0 = X1
| apply(eq,pair(X0,X1)) = projection2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality1) ).
fof(f10,plain,
! [X0,X1] :
( projection2 = apply(eq,pair(X0,X1))
| X0 = X1 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0,X1] :
( apply(X0,n(X0,X1)) != apply(X1,n(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality2) ).
fof(f12,axiom,
projection1 != projection2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_projections) ).
fof(f13,axiom,
! [X0] : apply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_definition) ).
fof(f14,negated_conjecture,
apply(apply(apply(abstraction,abstraction),abstraction),abstraction) != k(k(identity)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_TRC1b) ).
fof(f20,plain,
apply(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity)))) != apply(k(k(identity)),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity)))),
inference(unit_resulting_resolution,[],[f11,f14]) ).
fof(f22,plain,
! [X0] :
( n(identity,X0) != apply(X0,n(identity,X0))
| identity = X0 ),
inference(superposition,[],[f11,f13]) ).
fof(f25,plain,
k(identity) != apply(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity)))),
inference(forward_demodulation,[],[f20,f1]) ).
fof(f27,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,k(X0)),X1),X2) = apply(X0,apply(X1,X2)),
inference(superposition,[],[f6,f1]) ).
fof(f29,plain,
! [X0,X1] :
( apply(X1,n(k(X0),X1)) != X0
| k(X0) = X1 ),
inference(superposition,[],[f11,f1]) ).
fof(f31,plain,
! [X2,X0,X1] : apply(X1,apply(apply(X0,X1),X2)) = apply(apply(apply(apply(abstraction,abstraction),X0),X1),X2),
inference(superposition,[],[f27,f6]) ).
fof(f36,plain,
! [X2,X0,X1] :
( apply(X0,apply(X1,n(apply(apply(abstraction,k(X0)),X1),X2))) != apply(X2,n(apply(apply(abstraction,k(X0)),X1),X2))
| apply(apply(abstraction,k(X0)),X1) = X2 ),
inference(superposition,[],[f11,f27]) ).
fof(f117,plain,
! [X2,X0,X1] :
( apply(X2,n(apply(apply(abstraction,k(k(X0))),X1),X2)) != X0
| apply(apply(abstraction,k(k(X0))),X1) = X2 ),
inference(superposition,[],[f36,f1]) ).
fof(f190,plain,
! [X0,X1] : k(X0) = apply(apply(abstraction,k(k(X0))),X1),
inference(unit_resulting_resolution,[],[f117,f1]) ).
fof(f212,plain,
! [X0,X1] : k(X0) = apply(apply(apply(abstraction,abstraction),X1),k(X0)),
inference(superposition,[],[f6,f190]) ).
fof(f344,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,apply(apply(abstraction,abstraction),X1)),X2),X0) = apply(k(X0),apply(X2,X0)),
inference(superposition,[],[f6,f212]) ).
fof(f346,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,apply(apply(abstraction,abstraction),X1)),X2),X0) = X0,
inference(forward_demodulation,[],[f344,f1]) ).
fof(f378,plain,
! [X0,X1] :
( n(identity,apply(apply(abstraction,apply(apply(abstraction,abstraction),X0)),X1)) != n(identity,apply(apply(abstraction,apply(apply(abstraction,abstraction),X0)),X1))
| identity = apply(apply(abstraction,apply(apply(abstraction,abstraction),X0)),X1) ),
inference(superposition,[],[f22,f346]) ).
fof(f379,plain,
! [X0,X1] : identity = apply(apply(abstraction,apply(apply(abstraction,abstraction),X0)),X1),
inference(trivial_inequality_removal,[],[f378]) ).
fof(f442,plain,
! [X0] : k(identity) = apply(abstraction,apply(apply(abstraction,abstraction),X0)),
inference(unit_resulting_resolution,[],[f29,f379]) ).
fof(f675,plain,
projection2 = apply(eq,pair(k(identity),apply(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity)))))),
inference(unit_resulting_resolution,[],[f10,f25]) ).
fof(f681,plain,
projection2 = apply(eq,pair(k(identity),apply(abstraction,apply(apply(abstraction,abstraction),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity))))))),
inference(forward_demodulation,[],[f675,f31]) ).
fof(f683,plain,
projection2 = apply(eq,pair(k(identity),k(identity))),
inference(forward_demodulation,[],[f681,f442]) ).
fof(f685,plain,
projection1 = projection2,
inference(forward_demodulation,[],[f683,f8]) ).
fof(f687,plain,
$false,
inference(forward_subsumption_resolution,[],[f685,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COL078-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.27 % Computer : n009.cluster.edu
% 0.10/0.27 % Model : x86_64 x86_64
% 0.10/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27 % Memory : 8046.5625MB
% 0.10/0.27 % OS : Linux 6.8.0-71-generic
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.10/0.27 % DateTime : Mon Sep 28 21:34:15 UTC 2026
% 0.27/0.27 % CPUTime :
% 0.27/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.32 Running first-order theorem proving
% 0.27/0.32 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
% 9.99/2.53 % (3513575)Input is clausal, will run a generic CNF schedule.
% 9.99/2.53 % (3513587)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1718273358:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.99/2.53 % (3513584)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=101653891:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.99/2.53 % (3513588)dis-21_1_sil=8000:lcm=predicate:random_seed=449961402: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)
% 9.99/2.53 % (3513583)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=478806703:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.99/2.53 % (3513585)lrs+10_1_sil=8000:sp=occurrence:random_seed=515755635:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.99/2.53 % (3513582)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=840687857:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.99/2.53 % (3513588)Refutation not found, incomplete strategy
% 9.99/2.53 % (3513588)------------------------------
% 9.99/2.53 % (3513588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.53 % (3513588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.53 % (3513588)CaDiCaL version: 2.1.3
% 9.99/2.53 % (3513588)Termination reason: Refutation not found, incomplete strategy
% 9.99/2.53 % (3513588)Time elapsed: 0.002 s
% 9.99/2.53 % (3513588)Peak memory usage: 87 MB
% 9.99/2.53 % (3513587)Instruction limit reached!
% 9.99/2.53 % (3513587)------------------------------
% 9.99/2.53 % (3513587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.53 % (3513587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.53 % (3513587)CaDiCaL version: 2.1.3
% 9.99/2.53 % (3513587)Termination reason: Instruction limit
% 9.99/2.53 % (3513587)Termination phase: Saturation
% 9.99/2.53 % (3513587)Time elapsed: 0.096 s
% 9.99/2.53 % (3513587)Peak memory usage: 90 MB
% 9.99/2.53 % (3513587)Instructions burned: 180 (million)
% 9.99/2.53 % (3513586)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4195275226:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.99/2.53 % (3513585)Instruction limit reached!
% 9.99/2.53 % (3513585)------------------------------
% 9.99/2.53 % (3513585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.53 % (3513585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.53 % (3513585)CaDiCaL version: 2.1.3
% 9.99/2.53 % (3513585)Termination reason: Instruction limit
% 9.99/2.53 % (3513585)Termination phase: Saturation
% 9.99/2.53 % (3513585)Time elapsed: 0.108 s
% 9.99/2.53 % (3513585)Peak memory usage: 89 MB
% 9.99/2.53 % (3513585)Instructions burned: 107 (million)
% 9.99/2.53 % (3513586)Instruction limit reached!
% 9.99/2.53 % (3513586)------------------------------
% 9.99/2.53 % (3513586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.53 % (3513586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.53 % (3513586)CaDiCaL version: 2.1.3
% 9.99/2.53 % (3513586)Termination reason: Instruction limit
% 9.99/2.53 % (3513586)Termination phase: Saturation
% 9.99/2.53 % (3513586)Time elapsed: 0.113 s
% 9.99/2.53 % (3513586)Peak memory usage: 88 MB
% 9.99/2.53 % (3513586)Instructions burned: 114 (million)
% 9.99/2.53 % (3513595)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=2527686096:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.99/2.53 % (3513595)Refutation not found, incomplete strategy
% 9.99/2.53 % (3513595)------------------------------
% 9.99/2.53 % (3513595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.53 % (3513595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.53 % (3513595)CaDiCaL version: 2.1.3
% 9.99/2.53 % (3513595)Termination reason: Refutation not found, incomplete strategy
% 9.99/2.53 % (3513595)Time elapsed: 0.001 s
% 9.99/2.53 % (3513595)Peak memory usage: 88 MB
% 9.99/2.53 % (3513588)------------------------------
% 9.99/2.53 % (3513588)------------------------------
% 9.99/2.53 % (3513597)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1816671440:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 0.30/2.81 % (3513598)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1311454016:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 0.30/2.81 % (3513598)Refutation not found, incomplete strategy
% 0.30/2.81 % (3513598)------------------------------
% 0.30/2.81 % (3513598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/2.81 % (3513598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/2.81 % (3513598)CaDiCaL version: 2.1.3
% 0.30/2.81 % (3513598)Termination reason: Refutation not found, incomplete strategy
% 0.30/2.81 % (3513598)Time elapsed: 0.002 s
% 0.30/2.81 % (3513598)Peak memory usage: 87 MB
% 0.30/2.81 % (3513595)------------------------------
% 0.30/2.81 % (3513595)------------------------------
% 0.30/2.81 % (3513597)Instruction limit reached!
% 0.30/2.81 % (3513597)------------------------------
% 0.30/2.81 % (3513597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/2.81 % (3513597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/2.81 % (3513597)CaDiCaL version: 2.1.3
% 0.30/2.81 % (3513597)Termination reason: Instruction limit
% 0.30/2.81 % (3513597)Termination phase: Saturation
% 0.30/2.81 % (3513597)Time elapsed: 0.182 s
% 0.30/2.81 % (3513597)Peak memory usage: 89 MB
% 0.30/2.81 % (3513597)Instructions burned: 190 (million)
% 0.30/2.81 % (3513601)lrs+10_64_to=lpo:sil=8000:random_seed=2222063931:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 0.30/2.81 % (3513603)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=758043395:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 0.30/2.81 % (3513603)Instruction limit reached!
% 0.30/2.81 % (3513603)------------------------------
% 0.30/2.81 % (3513603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/2.81 % (3513603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/2.81 % (3513603)CaDiCaL version: 2.1.3
% 0.30/2.81 % (3513603)Termination reason: Instruction limit
% 0.30/2.81 % (3513603)Termination phase: Saturation
% 0.30/2.81 % (3513603)Time elapsed: 0.109 s
% 0.30/2.81 % (3513603)Peak memory usage: 90 MB
% 0.30/2.81 % (3513603)Instructions burned: 195 (million)
% 0.30/2.81 % (3513601)Instruction limit reached!
% 0.30/2.81 % (3513601)------------------------------
% 0.30/2.81 % (3513601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/2.81 % (3513601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/2.81 % (3513601)CaDiCaL version: 2.1.3
% 0.30/2.81 % (3513601)Termination reason: Instruction limit
% 0.30/2.81 % (3513601)Termination phase: Saturation
% 0.30/2.81 % (3513601)Time elapsed: 0.127 s
% 0.30/2.81 % (3513601)Peak memory usage: 89 MB
% 0.30/2.81 % (3513601)Instructions burned: 126 (million)
% 0.30/2.81 % (3513598)------------------------------
% 0.30/2.81 % (3513598)------------------------------
% 0.30/2.81 % (3513604)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=71087620:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 0.30/2.81 % (3513608)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=154289212:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 0.30/2.81 % (3513604)Instruction limit reached!
% 0.30/2.81 % (3513604)------------------------------
% 0.30/2.81 % (3513604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/2.81 % (3513604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/2.81 % (3513604)CaDiCaL version: 2.1.3
% 0.30/2.81 % (3513604)Termination reason: Instruction limit
% 0.30/2.81 % (3513604)Termination phase: Saturation
% 0.30/2.81 % (3513604)Time elapsed: 0.162 s
% 0.30/2.81 % (3513604)Peak memory usage: 90 MB
% 0.30/2.81 % (3513604)Instructions burned: 157 (million)
% 0.30/2.81 % (3513583)First to succeed.
% 0.30/2.81 % (3513583)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3513575"
% 0.30/2.81 % (3513608)Instruction limit reached!
% 0.30/2.81 % (3513608)------------------------------
% 0.30/2.81 % (3513608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/2.81 % (3513608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/2.81 % (3513608)CaDiCaL version: 2.1.3
% 0.30/2.81 % (3513608)Termination reason: Instruction limit
% 0.30/2.81 % (3513608)Termination phase: Saturation
% 0.30/2.81 % (3513608)Time elapsed: 0.049 s
% 0.30/2.81 % (3513608)Peak memory usage: 89 MB
% 0.30/2.81 % (3513608)Instructions burned: 109 (million)
% 0.30/2.81 % (3513607)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1314555544:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 0.30/2.81 % (3513609)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3854102546:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 0.30/2.81 % (3513609)Refutation not found, incomplete strategy
% 0.30/2.81 % (3513609)------------------------------
% 0.30/2.81 % (3513609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/2.81 % (3513609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/2.81 % (3513609)CaDiCaL version: 2.1.3
% 0.30/2.81 % (3513609)Termination reason: Refutation not found, incomplete strategy
% 0.30/2.81 % (3513609)Time elapsed: 0.002 s
% 0.30/2.81 % (3513609)Peak memory usage: 87 MB
% 0.30/2.81 % (3513582)Also succeeded, but the first one will report.
% 0.30/2.81 % (3513613)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=18380360:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 0.30/2.81 % (3513612)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3733262053:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 0.30/2.81 % (3513583)Refutation found. Thanks to Tanya!
% 0.30/2.81 % SZS status Unsatisfiable for theBenchmark
% 0.30/2.81 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/2.81 % (3513583)------------------------------
% 0.30/2.81 % (3513583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/2.81 % (3513583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/2.81 % (3513583)CaDiCaL version: 2.1.3
% 0.30/2.81 % (3513583)Termination reason: Refutation
% 0.30/2.81 % (3513583)Time elapsed: 1.022 s
% 0.30/2.81 % (3513583)Peak memory usage: 128 MB
% 0.30/2.81 % (3513583)Instructions burned: 1008 (million)
% 0.30/2.81 % (3513583)------------------------------
% 0.30/2.81 % (3513583)------------------------------
% 0.30/2.81 % (3513575)Success in time 1.701 s
% 0.30/2.81 % Vampire exiting
%------------------------------------------------------------------------------