%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG227+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:19:28 AM UTC 2026
% Result : Theorem 0.18s 3.04s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 127 ( 40 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 156 ( 60 ~; 51 |; 29 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 59 ( 48 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16923,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_pboole(X2,X1) )
=> ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_closure3) ).
fof(f16948,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( X2 = k1_closure3(X0,X1)
<=> X2 = a_2_0_closure3(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_closure3) ).
fof(f16951,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( ~ r2_hidden(X2,k1_closure3(X0,X1))
=> k1_funct_1(X1,X2) = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_closure3) ).
fof(f16952,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( ~ r2_hidden(X2,k1_closure3(X0,X1))
=> k1_funct_1(X1,X2) = k1_xboole_0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f16951]) ).
fof(f16981,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(ennf_transformation,[],[f16923]) ).
fof(f16982,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(flattening,[],[f16981]) ).
fof(f17022,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k1_closure3(X0,X1)
<=> X2 = a_2_0_closure3(X0,X1) )
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f16948]) ).
fof(f17027,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_xboole_0 != k1_funct_1(X1,X2)
& ~ r2_hidden(X2,k1_closure3(X0,X1))
& m1_subset_1(X2,X0) )
& m1_pboole(X1,X0) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f16952]) ).
fof(f17028,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_xboole_0 != k1_funct_1(X1,X2)
& ~ r2_hidden(X2,k1_closure3(X0,X1))
& m1_subset_1(X2,X0) )
& m1_pboole(X1,X0) )
& ~ v1_xboole_0(X0) ),
inference(flattening,[],[f17027]) ).
fof(f17452,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(nnf_transformation,[],[f16982]) ).
fof(f17453,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ? [X4] :
( m1_subset_1(X4,X1)
& X0 = X4
& k1_xboole_0 != k1_funct_1(X2,X4) )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(rectify,[],[f17452]) ).
fof(f17454,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ( m1_subset_1(sK0(X0,X1,X2),X1)
& sK0(X0,X1,X2) = X0
& k1_xboole_0 != k1_funct_1(X2,sK0(X0,X1,X2)) )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X4,sK0(X0,X1,X2))],[f17453]) ).
fof(f17463,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_closure3(X0,X1)
| a_2_0_closure3(X0,X1) != X2 )
& ( X2 = a_2_0_closure3(X0,X1)
| k1_closure3(X0,X1) != X2 ) )
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f17022]) ).
fof(f17464,plain,
( k1_xboole_0 != k1_funct_1(sK7,sK8)
& ~ r2_hidden(sK8,k1_closure3(sK6,sK7))
& m1_subset_1(sK8,sK6)
& m1_pboole(sK7,sK6)
& ~ v1_xboole_0(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8)],[f17028]) ).
fof(f17578,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3)
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(cnf_transformation,[],[f17454]) ).
fof(f17609,plain,
! [X2,X0,X1] :
( k1_closure3(X0,X1) = X2
| a_2_0_closure3(X0,X1) != X2
| ~ m1_pboole(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f17463]) ).
fof(f17612,plain,
~ v1_xboole_0(sK6),
inference(cnf_transformation,[],[f17464]) ).
fof(f17613,plain,
m1_pboole(sK7,sK6),
inference(cnf_transformation,[],[f17464]) ).
fof(f17614,plain,
m1_subset_1(sK8,sK6),
inference(cnf_transformation,[],[f17464]) ).
fof(f17615,plain,
~ r2_hidden(sK8,k1_closure3(sK6,sK7)),
inference(cnf_transformation,[],[f17464]) ).
fof(f17616,plain,
k1_xboole_0 != k1_funct_1(sK7,sK8),
inference(cnf_transformation,[],[f17464]) ).
fof(f18108,plain,
! [X2,X3,X1] :
( r2_hidden(X3,a_2_0_closure3(X1,X2))
| ~ m1_subset_1(X3,X1)
| k1_xboole_0 = k1_funct_1(X2,X3)
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(equality_resolution,[],[f17578]) ).
fof(f18109,plain,
! [X0,X1] :
( k1_closure3(X0,X1) = a_2_0_closure3(X0,X1)
| ~ m1_pboole(X1,X0)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f17609]) ).
fof(f18154,plain,
( ~ r2_hidden(sK8,a_2_0_closure3(sK6,sK7))
| ~ m1_pboole(sK7,sK6)
| v1_xboole_0(sK6) ),
inference(superposition,[],[f17615,f18109]) ).
fof(f18155,plain,
( ~ r2_hidden(sK8,a_2_0_closure3(sK6,sK7))
| v1_xboole_0(sK6) ),
inference(forward_subsumption_resolution,[],[f18154,f17613]) ).
fof(f18165,plain,
~ r2_hidden(sK8,a_2_0_closure3(sK6,sK7)),
inference(forward_subsumption_resolution,[],[f18155,f17612]) ).
fof(f18188,plain,
( ~ m1_subset_1(sK8,sK6)
| k1_xboole_0 = k1_funct_1(sK7,sK8)
| v1_xboole_0(sK6)
| ~ m1_pboole(sK7,sK6) ),
inference(resolution,[],[f18165,f18108]) ).
fof(f18200,plain,
( k1_xboole_0 = k1_funct_1(sK7,sK8)
| v1_xboole_0(sK6)
| ~ m1_pboole(sK7,sK6) ),
inference(forward_subsumption_resolution,[],[f18188,f17614]) ).
fof(f18201,plain,
( v1_xboole_0(sK6)
| ~ m1_pboole(sK7,sK6) ),
inference(forward_subsumption_resolution,[],[f18200,f17616]) ).
fof(f18202,plain,
~ m1_pboole(sK7,sK6),
inference(forward_subsumption_resolution,[],[f18201,f17612]) ).
fof(f18203,plain,
$false,
inference(forward_subsumption_resolution,[],[f18202,f17613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG227+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n005.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 19:51:36 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 8.15/2.84 % (1092011)Detected formulas, will run a generic FOF schedule.
% 8.15/2.84 % (1092022)dis-21_1_sil=8000:lcm=predicate:random_seed=4061268655:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 8.15/2.84 % (1092020)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1759985515:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 8.15/2.84 % (1092021)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=943433011:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 8.15/2.84 % (1092019)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=983697601:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 8.15/2.84 % (1092016)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=466312512:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 8.15/2.84 % (1092017)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=4028380860:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 8.15/2.84 % (1092018)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=1561867522:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 8.15/2.84 % (1092022)Instruction limit reached!
% 8.15/2.84 % (1092022)------------------------------
% 8.15/2.84 % (1092022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/2.84 % (1092022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/2.84 % (1092022)CaDiCaL version: 2.1.3
% 8.15/2.84 % (1092022)Termination reason: Instruction limit
% 8.15/2.84 % (1092022)Termination phase: SInE selection
% 8.15/2.84 % (1092022)Time elapsed: 0.051 s
% 8.15/2.84 % (1092022)Peak memory usage: 108 MB
% 8.15/2.84 % (1092022)Instructions burned: 131 (million)
% 8.15/2.84 % (1092021)Instruction limit reached!
% 8.15/2.84 % (1092021)------------------------------
% 8.15/2.84 % (1092021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/2.84 % (1092021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/2.84 % (1092021)CaDiCaL version: 2.1.3
% 8.15/2.84 % (1092021)Termination reason: Instruction limit
% 8.15/2.84 % (1092021)Termination phase: Property scanning
% 8.15/2.84 % (1092021)Time elapsed: 0.060 s
% 8.15/2.84 % (1092021)Peak memory usage: 108 MB
% 8.15/2.84 % (1092021)Instructions burned: 140 (million)
% 8.15/2.84 % (1092019)Instruction limit reached!
% 8.15/2.84 % (1092019)------------------------------
% 8.15/2.84 % (1092019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/2.84 % (1092019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/2.84 % (1092019)CaDiCaL version: 2.1.3
% 8.15/2.84 % (1092019)Termination reason: Instruction limit
% 8.15/2.84 % (1092019)Termination phase: Saturation
% 8.15/2.84 % (1092019)Time elapsed: 0.090 s
% 8.15/2.84 % (1092019)Peak memory usage: 112 MB
% 8.15/2.84 % (1092019)Instructions burned: 109 (million)
% 8.15/2.84 % (1092020)Instruction limit reached!
% 8.15/2.84 % (1092020)------------------------------
% 8.15/2.84 % (1092020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/2.84 % (1092020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/2.84 % (1092020)CaDiCaL version: 2.1.3
% 8.15/2.84 % (1092020)Termination reason: Instruction limit
% 8.15/2.84 % (1092020)Termination phase: Preprocessing 3
% 8.15/2.84 % (1092020)Time elapsed: 0.101 s
% 8.15/2.84 % (1092020)Peak memory usage: 110 MB
% 8.15/2.84 % (1092020)Instructions burned: 119 (million)
% 8.15/2.84 % (1092030)lrs+10_1_sil=8000:sp=occurrence:random_seed=2740823039:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 8.15/2.84 % (1092031)lrs+10_1_sil=32000:urr=on:br=off:random_seed=238207662:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 8.15/2.84 % (1092030)Instruction limit reached!
% 8.15/2.84 % (1092030)------------------------------
% 8.15/2.84 % (1092030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/2.84 % (1092030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/2.84 % (1092030)CaDiCaL version: 2.1.3
% 8.15/2.84 % (1092030)Termination reason: Instruction limit
% 8.15/2.84 % (1092030)Termination phase: Saturation
% 8.15/2.84 % (1092030)Time elapsed: 0.118 s
% 8.15/2.84 % (1092030)Peak memory usage: 116 MB
% 8.15/2.84 % (1092030)Instructions burned: 285 (million)
% 8.15/2.84 % (1092032)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2951702689:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 8.15/2.84 % (1092034)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=1304007686:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 8.15/2.84 % (1092031)Instruction limit reached!
% 8.15/2.84 % (1092031)------------------------------
% 8.15/2.84 % (1092031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/2.84 % (1092031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/2.84 % (1092031)CaDiCaL version: 2.1.3
% 8.15/2.84 % (1092031)Termination reason: Instruction limit
% 8.15/2.84 % (1092031)Termination phase: Property scanning
% 8.15/2.84 % (1092031)Time elapsed: 0.071 s
% 8.15/2.84 % (1092031)Peak memory usage: 108 MB
% 8.15/2.84 % (1092031)Instructions burned: 157 (million)
% 8.15/2.84 % (1092036)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=597418846:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2987 on theBenchmark for (2987ds/294Mi)
% 8.15/2.84 % (1092034)Instruction limit reached!
% 8.15/2.84 % (1092034)------------------------------
% 8.15/2.84 % (1092034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/2.84 % (1092034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/2.84 % (1092034)CaDiCaL version: 2.1.3
% 8.15/2.84 % (1092034)Termination reason: Instruction limit
% 8.15/2.84 % (1092034)Termination phase: SInE selection
% 8.15/2.84 % (1092034)Time elapsed: 0.112 s
% 8.15/2.84 % (1092034)Peak memory usage: 108 MB
% 8.15/2.84 % (1092034)Instructions burned: 248 (million)
% 8.15/2.84 % (1092039)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1806322621:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 8.15/2.84 % (1092036)Instruction limit reached!
% 8.15/2.84 % (1092036)------------------------------
% 8.15/2.84 % (1092036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/2.84 % (1092036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/2.84 % (1092036)CaDiCaL version: 2.1.3
% 8.15/2.84 % (1092036)Termination reason: Instruction limit
% 8.15/2.84 % (1092036)Termination phase: Saturation
% 8.15/2.84 % (1092036)Time elapsed: 0.111 s
% 8.15/2.84 % (1092036)Peak memory usage: 116 MB
% 8.15/2.84 % (1092036)Instructions burned: 294 (million)
% 8.15/2.84 % (1092032)Instruction limit reached!
% 8.15/2.84 % (1092032)------------------------------
% 8.15/2.84 % (1092032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/2.84 % (1092032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/2.84 % (1092032)CaDiCaL version: 2.1.3
% 8.15/2.84 % (1092032)Termination reason: Instruction limit
% 8.15/2.84 % (1092032)Termination phase: Saturation
% 8.15/2.84 % (1092032)Time elapsed: 0.247 s
% 8.15/2.84 % (1092032)Peak memory usage: 114 MB
% 8.15/2.84 % (1092032)Instructions burned: 325 (million)
% 8.15/2.84 % (1092041)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=424923945:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 8.15/2.84 % (1092043)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1405594520:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 8.15/2.84 % (1092043)Instruction limit reached!
% 8.15/2.84 % (1092043)------------------------------
% 8.15/2.84 % (1092043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/2.84 % (1092043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/2.84 % (1092043)CaDiCaL version: 2.1.3
% 8.15/2.84 % (1092043)Termination reason: Instruction limit
% 8.15/2.84 % (1092043)Termination phase: Preprocessing 1
% 8.15/2.84 % (1092043)Time elapsed: 0.052 s
% 8.15/2.84 % (1092043)Peak memory usage: 108 MB
% 8.15/2.84 % (1092043)Instructions burned: 128 (million)
% 8.15/2.84 % (1092041)Instruction limit reached!
% 8.15/2.84 % (1092041)------------------------------
% 8.15/2.84 % (1092041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/2.84 % (1092041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/2.84 % (1092041)CaDiCaL version: 2.1.3
% 8.15/2.84 % (1092041)Termination reason: Instruction limit
% 0.18/3.04 % (1092041)Termination phase: Preprocessing 1
% 0.18/3.04 % (1092041)Time elapsed: 0.097 s
% 0.18/3.04 % (1092041)Peak memory usage: 109 MB
% 0.18/3.04 % (1092041)Instructions burned: 113 (million)
% 0.18/3.04 % (1092045)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3934901810:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 0.18/3.04 % (1092045)Instruction limit reached!
% 0.18/3.04 % (1092045)------------------------------
% 0.18/3.04 % (1092045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/3.04 % (1092045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/3.04 % (1092045)CaDiCaL version: 2.1.3
% 0.18/3.04 % (1092045)Termination reason: Instruction limit
% 0.18/3.04 % (1092045)Termination phase: Property scanning
% 0.18/3.04 % (1092045)Time elapsed: 0.049 s
% 0.18/3.04 % (1092045)Peak memory usage: 108 MB
% 0.18/3.04 % (1092045)Instructions burned: 114 (million)
% 0.18/3.04 % (1092047)lrs+10_1_sil=8000:sp=occurrence:random_seed=141824889:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 0.18/3.04 % (1092048)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1148378950:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 0.18/3.04 % (1092050)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3993100703:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 0.18/3.04 % (1092048)First to succeed.
% 0.18/3.04 % (1092048)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1092011"
% 0.18/3.04 % (1092018)Also succeeded, but the first one will report.
% 0.18/3.04 % (1092047)Instruction limit reached!
% 0.18/3.04 % (1092047)------------------------------
% 0.18/3.04 % (1092047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/3.04 % (1092047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/3.04 % (1092047)CaDiCaL version: 2.1.3
% 0.18/3.04 % (1092047)Termination reason: Instruction limit
% 0.18/3.04 % (1092047)Termination phase: Saturation
% 0.18/3.04 % (1092047)Time elapsed: 0.303 s
% 0.18/3.04 % (1092047)Peak memory usage: 126 MB
% 0.18/3.04 % (1092047)Instructions burned: 910 (million)
% 0.18/3.04 % (1092048)Refutation found. Thanks to Tanya!
% 0.18/3.04 % SZS status Theorem for theBenchmark
% 0.18/3.04 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/3.04 % (1092048)------------------------------
% 0.18/3.04 % (1092048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/3.04 % (1092048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/3.04 % (1092048)CaDiCaL version: 2.1.3
% 0.18/3.04 % (1092048)Termination reason: Refutation
% 0.18/3.04 % (1092048)Time elapsed: 0.109 s
% 0.18/3.04 % (1092048)Peak memory usage: 113 MB
% 0.18/3.04 % (1092048)Instructions burned: 135 (million)
% 0.18/3.04 % (1092048)------------------------------
% 0.18/3.04 % (1092048)------------------------------
% 0.18/3.04 % (1092011)Success in time 2.149 s
% 0.18/3.04 % Vampire exiting
%------------------------------------------------------------------------------