%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE140+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 11:40:26 AM UTC 2026
% Result : Theorem 8.39s 2.22s
% Output : Refutation 8.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 24 unt; 0 def)
% Number of atoms : 54 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 13 ~; 9 |; 3 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 63 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_unfold1) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(X2,addition(multiplication(X0,X2),X1))
=> leq(X2,multiplication(strong_iteration(X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_coinduction) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f19,conjecture,
! [X0,X1] :
( leq(X0,X1)
=> leq(strong_iteration(X0),strong_iteration(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1] :
( leq(X0,X1)
=> leq(strong_iteration(X0),strong_iteration(X1)) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
? [X0,X1] :
( ~ leq(strong_iteration(X0),strong_iteration(X1))
& leq(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( leq(X2,multiplication(strong_iteration(X0),X1))
| ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f25,plain,
( ~ leq(strong_iteration(sK0),strong_iteration(sK1))
& leq(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f21]) ).
fof(f26,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f27,plain,
leq(sK0,sK1),
inference(cnf_transformation,[],[f25]) ).
fof(f28,plain,
~ leq(strong_iteration(sK0),strong_iteration(sK1)),
inference(cnf_transformation,[],[f25]) ).
fof(f29,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f30,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ leq(X2,addition(multiplication(X0,X2),X1))
| leq(X2,multiplication(strong_iteration(X0),X1)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f36,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f37,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f38,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f47,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f48,plain,
! [X0] : strong_iteration(X0) = addition(one,multiplication(X0,strong_iteration(X0))),
inference(forward_demodulation,[],[f35,f38]) ).
fof(f49,plain,
sK1 = addition(sK0,sK1),
inference(resolution,[],[f27,f29]) ).
fof(f59,plain,
! [X0,X1] : addition(one,addition(multiplication(X0,strong_iteration(X0)),X1)) = addition(strong_iteration(X0),X1),
inference(superposition,[],[f37,f48]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ leq(X2,addition(X0,multiplication(X1,X2)))
| leq(X2,multiplication(strong_iteration(X1),X0)) ),
inference(superposition,[],[f31,f38]) ).
fof(f93,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f37,f36]) ).
fof(f109,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f30,f93]) ).
fof(f112,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f109]) ).
fof(f221,plain,
! [X0,X1] : addition(strong_iteration(X0),multiplication(X1,strong_iteration(X0))) = addition(one,multiplication(addition(X0,X1),strong_iteration(X0))),
inference(superposition,[],[f59,f39]) ).
fof(f716,plain,
! [X0,X1] :
( ~ leq(strong_iteration(X0),addition(strong_iteration(X0),multiplication(X1,strong_iteration(X0))))
| leq(strong_iteration(X0),multiplication(strong_iteration(addition(X0,X1)),one)) ),
inference(superposition,[],[f71,f221]) ).
fof(f729,plain,
! [X0,X1] : leq(strong_iteration(X0),multiplication(strong_iteration(addition(X0,X1)),one)),
inference(forward_subsumption_resolution,[],[f716,f112]) ).
fof(f756,plain,
! [X0,X1] : leq(strong_iteration(X0),strong_iteration(addition(X0,X1))),
inference(forward_demodulation,[],[f729,f47]) ).
fof(f809,plain,
leq(strong_iteration(sK0),strong_iteration(sK1)),
inference(superposition,[],[f756,f49]) ).
fof(f812,plain,
$false,
inference(forward_subsumption_resolution,[],[f809,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE140+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 13:12:02 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 6.32/2.03 % (805812)Detected formulas, will run a generic FOF schedule.
% 6.32/2.03 % (805827)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=170193825:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.32/2.03 % (805828)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=307788165:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.32/2.03 % (805829)dis-21_1_sil=8000:lcm=predicate:random_seed=4286481597:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.32/2.03 % (805823)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=143522799:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.32/2.03 % (805825)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4125947419:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.32/2.03 % (805824)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=253120214:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.32/2.03 % (805829)Refutation not found, incomplete strategy
% 6.32/2.03 % (805829)------------------------------
% 6.32/2.03 % (805829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/2.03 % (805829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/2.03 % (805829)CaDiCaL version: 2.1.3
% 6.32/2.03 % (805829)Termination reason: Refutation not found, incomplete strategy
% 6.32/2.03 % (805829)Time elapsed: 0.002 s
% 6.32/2.03 % (805829)Peak memory usage: 88 MB
% 6.32/2.03 % (805829)Instructions burned: 1 (million)
% 6.32/2.03 % (805827)Instruction limit reached!
% 6.32/2.03 % (805827)------------------------------
% 6.32/2.03 % (805827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/2.03 % (805827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/2.03 % (805827)CaDiCaL version: 2.1.3
% 6.32/2.03 % (805827)Termination reason: Instruction limit
% 6.32/2.03 % (805827)Termination phase: Saturation
% 6.32/2.03 % (805827)Time elapsed: 0.040 s
% 6.32/2.03 % (805827)Peak memory usage: 89 MB
% 6.32/2.03 % (805827)Instructions burned: 119 (million)
% 6.32/2.03 % (805826)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2635284671:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.32/2.03 % (805826)Refutation not found, incomplete strategy
% 6.32/2.03 % (805826)------------------------------
% 6.32/2.03 % (805826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/2.03 % (805826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/2.03 % (805826)CaDiCaL version: 2.1.3
% 6.32/2.03 % (805826)Termination reason: Refutation not found, incomplete strategy
% 6.32/2.03 % (805826)Time elapsed: 0.001 s
% 6.32/2.03 % (805826)Peak memory usage: 88 MB
% 6.32/2.03 % (805828)Instruction limit reached!
% 6.32/2.03 % (805828)------------------------------
% 6.32/2.03 % (805828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/2.03 % (805828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/2.03 % (805828)CaDiCaL version: 2.1.3
% 6.32/2.03 % (805828)Termination reason: Instruction limit
% 6.32/2.03 % (805828)Termination phase: Saturation
% 6.32/2.03 % (805828)Time elapsed: 0.086 s
% 6.32/2.03 % (805828)Peak memory usage: 90 MB
% 6.32/2.03 % (805828)Instructions burned: 140 (million)
% 6.32/2.03 % (805876)lrs+10_1_sil=8000:sp=occurrence:random_seed=3678722071:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.32/2.03 % (805876)Instruction limit reached!
% 6.32/2.03 % (805876)------------------------------
% 6.32/2.03 % (805876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/2.03 % (805876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/2.03 % (805876)CaDiCaL version: 2.1.3
% 6.32/2.03 % (805876)Termination reason: Instruction limit
% 6.32/2.03 % (805876)Termination phase: Saturation
% 6.32/2.03 % (805876)Time elapsed: 0.102 s
% 6.32/2.03 % (805876)Peak memory usage: 92 MB
% 6.32/2.03 % (805876)Instructions burned: 286 (million)
% 6.32/2.03 % (805905)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1326334735:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.32/2.03 % (805905)Refutation not found, incomplete strategy
% 6.32/2.03 % (805905)------------------------------
% 6.32/2.03 % (805905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/2.03 % (805905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/2.03 % (805905)CaDiCaL version: 2.1.3
% 6.32/2.03 % (805905)Termination reason: Refutation not found, incomplete strategy
% 6.32/2.03 % (805905)Time elapsed: 0.002 s
% 6.32/2.03 % (805905)Peak memory usage: 88 MB
% 6.32/2.03 % (805905)Instructions burned: 1 (million)
% 6.32/2.03 % (805829)------------------------------
% 6.32/2.03 % (805829)------------------------------
% 6.32/2.03 % (805826)------------------------------
% 6.32/2.03 % (805826)------------------------------
% 6.32/2.03 % (805931)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3701143263:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.32/2.03 % (805931)Refutation not found, incomplete strategy
% 6.32/2.03 % (805931)------------------------------
% 6.32/2.03 % (805931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/2.03 % (805931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/2.03 % (805931)CaDiCaL version: 2.1.3
% 6.32/2.03 % (805931)Termination reason: Refutation not found, incomplete strategy
% 6.32/2.03 % (805931)Time elapsed: 0.001 s
% 6.32/2.03 % (805931)Peak memory usage: 88 MB
% 6.32/2.03 % (805931)Instructions burned: 2 (million)
% 6.32/2.03 % (805942)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=581914438:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.32/2.03 % (805948)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1494931893:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.32/2.03 % (805948)Refutation not found, incomplete strategy
% 6.32/2.03 % (805948)------------------------------
% 6.32/2.03 % (805948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/2.03 % (805948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/2.03 % (805948)CaDiCaL version: 2.1.3
% 6.32/2.03 % (805948)Termination reason: Refutation not found, incomplete strategy
% 6.32/2.03 % (805948)Time elapsed: 0.001 s
% 6.32/2.03 % (805948)Peak memory usage: 88 MB
% 6.32/2.03 % (805948)Instructions burned: 1 (million)
% 6.32/2.03 % (805931)------------------------------
% 6.32/2.03 % (805931)------------------------------
% 6.32/2.03 % (805905)------------------------------
% 6.32/2.03 % (805905)------------------------------
% 6.32/2.03 % (805976)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2940971239:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.32/2.03 % (805942)Instruction limit reached!
% 6.32/2.03 % (805942)------------------------------
% 6.32/2.03 % (805942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/2.03 % (805942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/2.03 % (805942)CaDiCaL version: 2.1.3
% 6.32/2.03 % (805942)Termination reason: Instruction limit
% 6.32/2.03 % (805942)Termination phase: Saturation
% 6.32/2.03 % (805942)Time elapsed: 0.163 s
% 6.32/2.03 % (805942)Peak memory usage: 92 MB
% 6.32/2.03 % (805942)Instructions burned: 248 (million)
% 6.32/2.03 % (805989)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2538982484:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.32/2.03 % (805825)Refutation not found, incomplete strategy
% 6.32/2.03 % (805825)------------------------------
% 6.32/2.03 % (805825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/2.03 % (805825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/2.03 % (805825)CaDiCaL version: 2.1.3
% 6.32/2.03 % (805825)Termination reason: Refutation not found, incomplete strategy
% 6.32/2.03 % (805825)Time elapsed: 0.603 s
% 6.32/2.03 % (805825)Peak memory usage: 127 MB
% 6.32/2.03 % (805825)Instructions burned: 895 (million)
% 6.32/2.03 % (805948)------------------------------
% 6.32/2.03 % (805948)------------------------------
% 6.32/2.03 % (805989)Instruction limit reached!
% 6.32/2.03 % (805989)------------------------------
% 6.32/2.03 % (805989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/2.03 % (805989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/2.03 % (805989)CaDiCaL version: 2.1.3
% 8.39/2.22 % (805989)Termination reason: Instruction limit
% 8.39/2.22 % (805989)Termination phase: Saturation
% 8.39/2.22 % (805989)Time elapsed: 0.069 s
% 8.39/2.22 % (805989)Peak memory usage: 89 MB
% 8.39/2.22 % (805989)Instructions burned: 113 (million)
% 8.39/2.22 % (806002)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4169493865:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.39/2.22 % (806002)Refutation not found, incomplete strategy
% 8.39/2.22 % (806002)------------------------------
% 8.39/2.22 % (806002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.39/2.22 % (806002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/2.22 % (806002)CaDiCaL version: 2.1.3
% 8.39/2.22 % (806002)Termination reason: Refutation not found, incomplete strategy
% 8.39/2.22 % (806002)Time elapsed: 0.001 s
% 8.39/2.22 % (806002)Peak memory usage: 88 MB
% 8.39/2.22 % (805824)First to succeed.
% 8.39/2.22 % (805824)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-805812"
% 8.39/2.22 % (806004)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=664084312:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.39/2.22 % (806004)Refutation not found, incomplete strategy
% 8.39/2.22 % (806004)------------------------------
% 8.39/2.22 % (806004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.39/2.22 % (806004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/2.22 % (806004)CaDiCaL version: 2.1.3
% 8.39/2.22 % (806004)Termination reason: Refutation not found, incomplete strategy
% 8.39/2.22 % (806004)Time elapsed: 0.001 s
% 8.39/2.22 % (806004)Peak memory usage: 88 MB
% 8.39/2.22 % (806005)lrs+10_1_sil=8000:sp=occurrence:random_seed=3475637820:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.39/2.22 % (805825)------------------------------
% 8.39/2.22 % (805825)------------------------------
% 8.39/2.22 % (806002)------------------------------
% 8.39/2.22 % (806002)------------------------------
% 8.39/2.22 % (805824)Refutation found. Thanks to Tanya!
% 8.39/2.22 % SZS status Theorem for theBenchmark
% 8.39/2.22 % SZS output start Proof for theBenchmark
% See solution above
% 8.39/2.22 % (805824)------------------------------
% 8.39/2.22 % (805824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.39/2.22 % (805824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/2.22 % (805824)CaDiCaL version: 2.1.3
% 8.39/2.22 % (805824)Termination reason: Refutation
% 8.39/2.22 % (805824)Time elapsed: 0.688 s
% 8.39/2.22 % (805824)Peak memory usage: 129 MB
% 8.39/2.22 % (805824)Instructions burned: 1023 (million)
% 8.39/2.22 % (805824)------------------------------
% 8.39/2.22 % (805824)------------------------------
% 8.39/2.22 % (805812)Success in time 1.084 s
% 8.39/2.22 % Vampire exiting
%------------------------------------------------------------------------------