%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET103+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:40:08 PM UTC 2026
% Result : Theorem 8.13s 2.03s
% Output : Refutation 8.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 71 ( 41 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 62 ( 20 ~; 25 |; 15 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_defn) ).
fof(f41,axiom,
! [X0] :
( X0 != null_class
=> ? [X1] :
( member(X1,universal_class)
& member(X1,X0)
& disjoint(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity) ).
fof(f44,conjecture,
! [X0,X1] :
( unordered_pair(singleton(X0),unordered_pair(X0,null_class)) = ordered_pair(X0,X1)
| member(X1,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_1_of_ordered_pair) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] :
( unordered_pair(singleton(X0),unordered_pair(X0,null_class)) = ordered_pair(X0,X1)
| member(X1,universal_class) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f46,plain,
? [X0,X1] :
( ordered_pair(X0,X1) != unordered_pair(singleton(X0),unordered_pair(X0,null_class))
& ~ member(X1,universal_class) ),
inference(ennf_transformation,[],[f45]) ).
fof(f49,plain,
! [X0] :
( ? [X1] :
( member(X1,universal_class)
& member(X1,X0)
& disjoint(X1,X0) )
| null_class = X0 ),
inference(ennf_transformation,[],[f41]) ).
fof(f56,plain,
( ordered_pair(sK0,sK1) != unordered_pair(singleton(sK0),unordered_pair(sK0,null_class))
& ~ member(sK1,universal_class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f46]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| ( X0 != X1
& X0 != X2 ) )
& ( ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| ( X0 != X1
& X0 != X2 ) )
& ( ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(flattening,[],[f57]) ).
fof(f66,plain,
! [X0] :
( ( member(sK3(X0),universal_class)
& member(sK3(X0),X0)
& disjoint(sK3(X0),X0) )
| null_class = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f49]) ).
fof(f94,plain,
~ member(sK1,universal_class),
inference(cnf_transformation,[],[f56]) ).
fof(f95,plain,
ordered_pair(sK0,sK1) != unordered_pair(singleton(sK0),unordered_pair(sK0,null_class)),
inference(cnf_transformation,[],[f56]) ).
fof(f96,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
inference(cnf_transformation,[],[f7]) ).
fof(f97,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f117,plain,
! [X0] :
( member(sK3(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f66]) ).
fof(f118,plain,
! [X0] :
( member(sK3(X0),universal_class)
| null_class = X0 ),
inference(cnf_transformation,[],[f66]) ).
fof(f167,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f96,f97,f97]) ).
fof(f172,plain,
unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,unordered_pair(sK1,sK1))) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,null_class)),
inference(definition_unfolding,[],[f95,f167,f97]) ).
fof(f220,plain,
! [X0,X1] :
( sK3(unordered_pair(X0,X1)) = X1
| sK3(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(resolution,[],[f117,f99]) ).
fof(f227,plain,
! [X0,X1] :
( X0 != X1
| sK3(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(equality_factoring,[],[f220]) ).
fof(f286,plain,
! [X0] :
( sK3(unordered_pair(X0,X0)) = X0
| unordered_pair(X0,X0) = null_class ),
inference(equality_resolution,[],[f227]) ).
fof(f288,plain,
! [X0] :
( member(X0,universal_class)
| unordered_pair(X0,X0) = null_class
| unordered_pair(X0,X0) = null_class ),
inference(superposition,[],[f118,f286]) ).
fof(f289,plain,
! [X0] :
( member(X0,universal_class)
| unordered_pair(X0,X0) = null_class ),
inference(duplicate_literal_removal,[],[f288]) ).
fof(f291,plain,
null_class = unordered_pair(sK1,sK1),
inference(resolution,[],[f289,f94]) ).
fof(f294,plain,
unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,null_class)) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,null_class)),
inference(superposition,[],[f172,f291]) ).
fof(f323,plain,
$false,
inference(trivial_inequality_removal,[],[f294]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET103+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:46:36 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.79/1.93 % (4056104)Detected formulas, will run a generic FOF schedule.
% 6.79/1.93 % (4056114)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3413508291:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.79/1.93 % (4056112)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4078857188:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.79/1.93 % (4056113)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2084880867:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.79/1.93 % (4056112)Refutation not found, incomplete strategy
% 6.79/1.93 % (4056112)------------------------------
% 6.79/1.93 % (4056112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.93 % (4056112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.93 % (4056110)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=605235937:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.79/1.93 % (4056112)CaDiCaL version: 2.1.3
% 6.79/1.93 % (4056112)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.93 % (4056112)Time elapsed: 0.002 s
% 6.79/1.93 % (4056109)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=3255357378:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.79/1.93 % (4056112)Peak memory usage: 88 MB
% 6.79/1.93 % (4056111)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=2298081356:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.79/1.93 % (4056112)Instructions burned: 1 (million)
% 6.79/1.93 % (4056113)Refutation not found, incomplete strategy
% 6.79/1.93 % (4056113)------------------------------
% 6.79/1.93 % (4056113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.93 % (4056113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.93 % (4056113)CaDiCaL version: 2.1.3
% 6.79/1.93 % (4056113)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.93 % (4056113)Time elapsed: 0.002 s
% 6.79/1.93 % (4056113)Peak memory usage: 88 MB
% 6.79/1.93 % (4056113)Instructions burned: 1 (million)
% 6.79/1.93 % (4056115)dis-21_1_sil=8000:lcm=predicate:random_seed=1318324183: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)
% 6.79/1.93 % (4056114)Instruction limit reached!
% 6.79/1.93 % (4056114)------------------------------
% 6.79/1.93 % (4056114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.93 % (4056114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.93 % (4056114)CaDiCaL version: 2.1.3
% 6.79/1.93 % (4056114)Termination reason: Instruction limit
% 6.79/1.93 % (4056114)Termination phase: Saturation
% 6.79/1.93 % (4056114)Time elapsed: 0.059 s
% 6.79/1.93 % (4056114)Peak memory usage: 90 MB
% 6.79/1.93 % (4056114)Instructions burned: 141 (million)
% 6.79/1.93 % (4056115)Instruction limit reached!
% 6.79/1.93 % (4056115)------------------------------
% 6.79/1.93 % (4056115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.93 % (4056115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.93 % (4056115)CaDiCaL version: 2.1.3
% 6.79/1.93 % (4056115)Termination reason: Instruction limit
% 6.79/1.93 % (4056115)Termination phase: Saturation
% 6.79/1.93 % (4056115)Time elapsed: 0.076 s
% 6.79/1.93 % (4056115)Peak memory usage: 89 MB
% 6.79/1.93 % (4056115)Instructions burned: 130 (million)
% 6.79/1.93 % (4056123)lrs+10_1_sil=8000:sp=occurrence:random_seed=3679928711:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.79/1.93 % (4056113)------------------------------
% 6.79/1.93 % (4056113)------------------------------
% 6.79/1.93 % (4056112)------------------------------
% 6.79/1.93 % (4056112)------------------------------
% 6.79/1.93 % (4056123)Instruction limit reached!
% 6.79/1.93 % (4056123)------------------------------
% 6.79/1.93 % (4056123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.93 % (4056123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.93 % (4056123)CaDiCaL version: 2.1.3
% 6.79/1.93 % (4056123)Termination reason: Instruction limit
% 6.79/2.03 % (4056123)Termination phase: Saturation
% 6.79/2.03 % (4056123)Time elapsed: 0.100 s
% 6.79/2.03 % (4056123)Peak memory usage: 92 MB
% 6.79/2.03 % (4056123)Instructions burned: 288 (million)
% 6.79/2.03 % (4056124)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1384449751:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.79/2.03 % (4056124)Instruction limit reached!
% 6.79/2.03 % (4056124)------------------------------
% 6.79/2.03 % (4056124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/2.03 % (4056124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/2.03 % (4056124)CaDiCaL version: 2.1.3
% 6.79/2.03 % (4056124)Termination reason: Instruction limit
% 6.79/2.03 % (4056124)Termination phase: Saturation
% 6.79/2.03 % (4056124)Time elapsed: 0.085 s
% 6.79/2.03 % (4056124)Peak memory usage: 89 MB
% 6.79/2.03 % (4056124)Instructions burned: 159 (million)
% 6.79/2.03 % (4056128)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=942038439:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.79/2.03 % (4056126)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2127599391:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.79/2.03 % (4056127)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=104671958:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.79/2.03 % (4056128)Instruction limit reached!
% 6.79/2.03 % (4056128)------------------------------
% 6.79/2.03 % (4056128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/2.03 % (4056128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/2.03 % (4056128)CaDiCaL version: 2.1.3
% 6.79/2.03 % (4056128)Termination reason: Instruction limit
% 6.79/2.03 % (4056128)Termination phase: Saturation
% 6.79/2.03 % (4056128)Time elapsed: 0.078 s
% 6.79/2.03 % (4056128)Peak memory usage: 89 MB
% 6.79/2.03 % (4056128)Instructions burned: 294 (million)
% 6.79/2.03 % (4056130)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1126672544:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.79/2.03 % (4056127)Instruction limit reached!
% 6.79/2.03 % (4056127)------------------------------
% 6.79/2.03 % (4056127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/2.03 % (4056127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/2.03 % (4056127)CaDiCaL version: 2.1.3
% 6.79/2.03 % (4056127)Termination reason: Instruction limit
% 6.79/2.03 % (4056127)Termination phase: Saturation
% 6.79/2.03 % (4056127)Time elapsed: 0.148 s
% 6.79/2.03 % (4056127)Peak memory usage: 92 MB
% 6.79/2.03 % (4056127)Instructions burned: 248 (million)
% 6.79/2.03 % (4056134)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2294269536:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.79/2.03 % (4056134)Instruction limit reached!
% 6.79/2.03 % (4056134)------------------------------
% 6.79/2.03 % (4056134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/2.03 % (4056134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/2.03 % (4056134)CaDiCaL version: 2.1.3
% 6.79/2.03 % (4056134)Termination reason: Instruction limit
% 6.79/2.03 % (4056134)Termination phase: Saturation
% 6.79/2.03 % (4056134)Time elapsed: 0.034 s
% 6.79/2.03 % (4056134)Peak memory usage: 92 MB
% 6.79/2.03 % (4056134)Instructions burned: 116 (million)
% 6.79/2.03 % (4056126)Instruction limit reached!
% 6.79/2.03 % (4056126)------------------------------
% 6.79/2.03 % (4056126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/2.03 % (4056126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/2.03 % (4056126)CaDiCaL version: 2.1.3
% 6.79/2.03 % (4056126)Termination reason: Instruction limit
% 6.79/2.03 % (4056126)Termination phase: Saturation
% 6.79/2.03 % (4056126)Time elapsed: 0.220 s
% 6.79/2.03 % (4056126)Peak memory usage: 92 MB
% 6.79/2.03 % (4056126)Instructions burned: 325 (million)
% 6.79/2.03 % (4056110)First to succeed.
% 6.79/2.03 % (4056110)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4056104"
% 6.79/2.03 % (4056109)Also succeeded, but the first one will report.
% 6.79/2.03 % (4056136)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2912875216:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.79/2.03 % (4056138)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2850052266:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.13/2.03 % (4056138)Instruction limit reached!
% 8.13/2.03 % (4056138)------------------------------
% 8.13/2.03 % (4056138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.13/2.03 % (4056138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/2.03 % (4056138)CaDiCaL version: 2.1.3
% 8.13/2.03 % (4056138)Termination reason: Instruction limit
% 8.13/2.03 % (4056138)Termination phase: Saturation
% 8.13/2.03 % (4056138)Time elapsed: 0.037 s
% 8.13/2.03 % (4056138)Peak memory usage: 88 MB
% 8.13/2.03 % (4056138)Instructions burned: 116 (million)
% 8.13/2.03 % (4056136)Instruction limit reached!
% 8.13/2.03 % (4056136)------------------------------
% 8.13/2.03 % (4056136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.13/2.03 % (4056136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/2.03 % (4056136)CaDiCaL version: 2.1.3
% 8.13/2.03 % (4056136)Termination reason: Instruction limit
% 8.13/2.03 % (4056136)Termination phase: Saturation
% 8.13/2.03 % (4056136)Time elapsed: 0.068 s
% 8.13/2.03 % (4056136)Peak memory usage: 89 MB
% 8.13/2.03 % (4056136)Instructions burned: 128 (million)
% 8.13/2.03 % (4056139)lrs+10_1_sil=8000:sp=occurrence:random_seed=3713606768:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.13/2.03 % (4056142)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2676956777:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.13/2.03 % (4056142)Refutation not found, incomplete strategy
% 8.13/2.03 % (4056142)------------------------------
% 8.13/2.03 % (4056142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.13/2.03 % (4056142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/2.03 % (4056142)CaDiCaL version: 2.1.3
% 8.13/2.03 % (4056142)Termination reason: Refutation not found, incomplete strategy
% 8.13/2.03 % (4056142)Time elapsed: 0.001 s
% 8.13/2.03 % (4056142)Peak memory usage: 88 MB
% 8.13/2.03 % (4056142)Instructions burned: 1 (million)
% 8.13/2.03 % (4056110)Refutation found. Thanks to Tanya!
% 8.13/2.03 % SZS status Theorem for theBenchmark
% 8.13/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.13/2.03 % (4056110)------------------------------
% 8.13/2.03 % (4056110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.13/2.03 % (4056110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/2.03 % (4056110)CaDiCaL version: 2.1.3
% 8.13/2.03 % (4056110)Termination reason: Refutation
% 8.13/2.03 % (4056110)Time elapsed: 0.641 s
% 8.13/2.03 % (4056110)Peak memory usage: 127 MB
% 8.13/2.03 % (4056110)Instructions burned: 948 (million)
% 8.13/2.03 % (4056110)------------------------------
% 8.13/2.03 % (4056110)------------------------------
% 8.13/2.03 % (4056104)Success in time 1.079 s
% 8.13/2.03 % Vampire exiting
%------------------------------------------------------------------------------