%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU418+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 : n011.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 12:48:52 PM UTC 2026
% Result : Theorem 8.93s 3.22s
% Output : Refutation 10.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 66 ( 29 unt; 2 def)
% Number of atoms : 160 ( 9 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 172 ( 78 ~; 70 |; 8 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 89 ( 1 sgn 86 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f88,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X0,X2) )
=> r1_tarski(X0,k3_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(f105,axiom,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f602,axiom,
! [X0,X1] : k1_setfam_1(k2_tarski(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_setfam_1) ).
fof(f700,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(X0,X1)
=> v1_relat_1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_relat_1) ).
fof(f754,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> ( ( r1_tarski(X0,X1)
& r1_tarski(X2,X3) )
=> r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_relat_1) ).
fof(f19075,conjecture,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k5_relat_1(k3_xboole_0(X0,X1),X2),k3_xboole_0(k5_relat_1(X0,X2),k5_relat_1(X1,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_relset_2) ).
fof(f19076,negated_conjecture,
~ ! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k5_relat_1(k3_xboole_0(X0,X1),X2),k3_xboole_0(k5_relat_1(X0,X2),k5_relat_1(X1,X2))) ) ) ),
inference(negated_conjecture,[status(cth)],[f19075]) ).
fof(f19081,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f19135,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_tarski(k5_relat_1(k3_xboole_0(X0,X1),X2),k3_xboole_0(k5_relat_1(X0,X2),k5_relat_1(X1,X2)))
& v1_relat_1(X2) )
& v1_relat_1(X1) )
& v1_relat_1(X0) ),
inference(ennf_transformation,[],[f19076]) ).
fof(f19170,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(ennf_transformation,[],[f88]) ).
fof(f19171,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(flattening,[],[f19170]) ).
fof(f19292,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| ~ v1_relat_1(X3) )
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f754]) ).
fof(f19293,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| ~ v1_relat_1(X3) )
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f19292]) ).
fof(f19442,plain,
! [X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f700]) ).
fof(f19443,plain,
! [X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f19442]) ).
fof(f21410,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sK13,sK14),sK15),k3_xboole_0(k5_relat_1(sK13,sK15),k5_relat_1(sK14,sK15)))
& v1_relat_1(sK15)
& v1_relat_1(sK14)
& v1_relat_1(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15)],[f19135]) ).
fof(f22282,plain,
v1_relat_1(sK13),
inference(cnf_transformation,[],[f21410]) ).
fof(f22283,plain,
v1_relat_1(sK14),
inference(cnf_transformation,[],[f21410]) ).
fof(f22284,plain,
v1_relat_1(sK15),
inference(cnf_transformation,[],[f21410]) ).
fof(f22285,plain,
~ r1_tarski(k5_relat_1(k3_xboole_0(sK13,sK14),sK15),k3_xboole_0(k5_relat_1(sK13,sK15),k5_relat_1(sK14,sK15))),
inference(cnf_transformation,[],[f21410]) ).
fof(f22333,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f19171]) ).
fof(f22339,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f22494,plain,
! [X2,X3,X0,X1] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f19293]) ).
fof(f22715,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f22728,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f105]) ).
fof(f22754,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f19443]) ).
fof(f22771,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f19081]) ).
fof(f24710,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k1_setfam_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f602]) ).
fof(f25695,plain,
~ r1_tarski(k5_relat_1(k4_xboole_0(sK13,k4_xboole_0(sK13,sK14)),sK15),k4_xboole_0(k5_relat_1(sK13,sK15),k4_xboole_0(k5_relat_1(sK13,sK15),k5_relat_1(sK14,sK15)))),
inference(definition_unfolding,[],[f22285,f22715,f22715]) ).
fof(f25739,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(definition_unfolding,[],[f22333,f22715]) ).
fof(f25745,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f22339,f22715,f22715]) ).
fof(f26464,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k1_setfam_1(k2_tarski(X0,X1)),
inference(definition_unfolding,[],[f24710,f22715]) ).
fof(f27170,plain,
! [X2,X3,X0,X1] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(forward_subsumption_resolution,[],[f22494,f22754]) ).
fof(f27186,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k1_setfam_1(k2_tarski(X1,X0)),
inference(forward_demodulation,[],[f25745,f26464]) ).
fof(f27190,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k1_setfam_1(k2_tarski(X1,X2)))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(forward_demodulation,[],[f25739,f26464]) ).
fof(f27230,plain,
~ r1_tarski(k5_relat_1(k4_xboole_0(sK13,k4_xboole_0(sK13,sK14)),sK15),k1_setfam_1(k2_tarski(k5_relat_1(sK13,sK15),k5_relat_1(sK14,sK15)))),
inference(forward_demodulation,[],[f25695,f26464]) ).
fof(f27302,plain,
! [X2,X3,X0,X1] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X1) ),
inference(forward_subsumption_resolution,[],[f27170,f22754]) ).
fof(f27326,plain,
~ r1_tarski(k5_relat_1(k1_setfam_1(k2_tarski(sK13,sK14)),sK15),k1_setfam_1(k2_tarski(k5_relat_1(sK13,sK15),k5_relat_1(sK14,sK15)))),
inference(forward_demodulation,[],[f27230,f26464]) ).
fof(f27360,plain,
! [X0,X1] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),X1),
inference(superposition,[],[f22728,f27186]) ).
fof(f27506,plain,
! [X0,X1] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),X0),
inference(superposition,[],[f22728,f26464]) ).
fof(f27618,plain,
( ~ r1_tarski(k5_relat_1(k1_setfam_1(k2_tarski(sK13,sK14)),sK15),k5_relat_1(sK13,sK15))
| ~ r1_tarski(k5_relat_1(k1_setfam_1(k2_tarski(sK13,sK14)),sK15),k5_relat_1(sK14,sK15)) ),
inference(resolution,[],[f27190,f27326]) ).
fof(f27622,definition,
( spl547_17
<=> r1_tarski(k5_relat_1(k1_setfam_1(k2_tarski(sK13,sK14)),sK15),k5_relat_1(sK14,sK15)) ),
introduced(definition,[new_symbols(definition,[spl547_17])],[avatar_definition]) ).
fof(f27623,plain,
( ~ r1_tarski(k5_relat_1(k1_setfam_1(k2_tarski(sK13,sK14)),sK15),k5_relat_1(sK14,sK15))
| spl547_17 ),
inference(avatar_component_clause,[],[f27622]) ).
fof(f27625,definition,
( spl547_18
<=> r1_tarski(k5_relat_1(k1_setfam_1(k2_tarski(sK13,sK14)),sK15),k5_relat_1(sK13,sK15)) ),
introduced(definition,[new_symbols(definition,[spl547_18])],[avatar_definition]) ).
fof(f27626,plain,
( ~ r1_tarski(k5_relat_1(k1_setfam_1(k2_tarski(sK13,sK14)),sK15),k5_relat_1(sK13,sK15))
| spl547_18 ),
inference(avatar_component_clause,[],[f27625]) ).
fof(f27627,plain,
( ~ spl547_17
| ~ spl547_18 ),
inference(avatar_split_clause,[],[f27618,f27625,f27622]) ).
fof(f27629,plain,
( ~ r1_tarski(k1_setfam_1(k2_tarski(sK13,sK14)),sK14)
| ~ r1_tarski(sK15,sK15)
| ~ v1_relat_1(sK15)
| ~ v1_relat_1(sK14)
| spl547_17 ),
inference(resolution,[],[f27623,f27302]) ).
fof(f27630,plain,
( ~ r1_tarski(sK15,sK15)
| ~ v1_relat_1(sK15)
| ~ v1_relat_1(sK14)
| spl547_17 ),
inference(forward_subsumption_resolution,[],[f27629,f27360]) ).
fof(f27632,plain,
( ~ v1_relat_1(sK15)
| ~ v1_relat_1(sK14)
| spl547_17 ),
inference(forward_subsumption_resolution,[],[f27630,f22771]) ).
fof(f27634,plain,
( ~ v1_relat_1(sK14)
| spl547_17 ),
inference(forward_subsumption_resolution,[],[f27632,f22284]) ).
fof(f27637,plain,
( $false
| spl547_17 ),
inference(forward_subsumption_resolution,[],[f27634,f22283]) ).
fof(f27638,plain,
spl547_17,
inference(avatar_contradiction_clause,[],[f27637]) ).
fof(f27640,plain,
( ~ r1_tarski(k1_setfam_1(k2_tarski(sK13,sK14)),sK13)
| ~ r1_tarski(sK15,sK15)
| ~ v1_relat_1(sK15)
| ~ v1_relat_1(sK13)
| spl547_18 ),
inference(resolution,[],[f27626,f27302]) ).
fof(f27641,plain,
( ~ r1_tarski(sK15,sK15)
| ~ v1_relat_1(sK15)
| ~ v1_relat_1(sK13)
| spl547_18 ),
inference(forward_subsumption_resolution,[],[f27640,f27506]) ).
fof(f27643,plain,
( ~ v1_relat_1(sK15)
| ~ v1_relat_1(sK13)
| spl547_18 ),
inference(forward_subsumption_resolution,[],[f27641,f22771]) ).
fof(f27645,plain,
( ~ v1_relat_1(sK13)
| spl547_18 ),
inference(forward_subsumption_resolution,[],[f27643,f22284]) ).
fof(f27648,plain,
( $false
| spl547_18 ),
inference(forward_subsumption_resolution,[],[f27645,f22282]) ).
fof(f27649,plain,
spl547_18,
inference(avatar_contradiction_clause,[],[f27648]) ).
cnf(s13,plain,
( ~ spl547_17
| ~ spl547_18 ),
inference(sat_conversion,[],[f27627]) ).
cnf(s15,plain,
spl547_17,
inference(sat_conversion,[],[f27638]) ).
cnf(s17,plain,
spl547_18,
inference(sat_conversion,[],[f27649]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s13,s17,s15]) ).
fof(f27650,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU418+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n011.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 05:17:04 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
% 8.93/3.22 % (3049909)Detected formulas, will run a generic FOF schedule.
% 8.93/3.22 % (3049915)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=3765665947:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 8.93/3.22 % (3049916)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=3452451016:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 8.93/3.22 % (3049914)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=3926512302:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 8.93/3.22 % (3049920)dis-21_1_sil=8000:lcm=predicate:random_seed=3574332250:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 8.93/3.22 % (3049917)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=420069268:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 8.93/3.22 % (3049919)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3045227914:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 8.93/3.22 % (3049918)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3606549407:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 8.93/3.22 % (3049919)Instruction limit reached!
% 8.93/3.22 % (3049919)------------------------------
% 8.93/3.22 % (3049919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/3.22 % (3049919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/3.22 % (3049919)CaDiCaL version: 2.1.3
% 8.93/3.22 % (3049919)Termination reason: Instruction limit
% 8.93/3.22 % (3049919)Termination phase: Property scanning
% 8.93/3.22 % (3049919)Time elapsed: 0.060 s
% 8.93/3.22 % (3049919)Peak memory usage: 112 MB
% 8.93/3.22 % (3049919)Instructions burned: 139 (million)
% 8.93/3.22 % (3049917)Instruction limit reached!
% 8.93/3.22 % (3049917)------------------------------
% 8.93/3.22 % (3049917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/3.22 % (3049917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/3.22 % (3049917)CaDiCaL version: 2.1.3
% 8.93/3.22 % (3049917)Termination reason: Instruction limit
% 8.93/3.22 % (3049917)Termination phase: SInE selection
% 8.93/3.22 % (3049917)Time elapsed: 0.082 s
% 8.93/3.22 % (3049917)Peak memory usage: 112 MB
% 8.93/3.22 % (3049917)Instructions burned: 109 (million)
% 8.93/3.22 % (3049920)Instruction limit reached!
% 8.93/3.22 % (3049920)------------------------------
% 8.93/3.22 % (3049920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/3.22 % (3049920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/3.22 % (3049920)CaDiCaL version: 2.1.3
% 8.93/3.22 % (3049920)Termination reason: Instruction limit
% 8.93/3.22 % (3049920)Termination phase: SInE selection
% 8.93/3.22 % (3049920)Time elapsed: 0.087 s
% 8.93/3.22 % (3049920)Peak memory usage: 112 MB
% 8.93/3.22 % (3049920)Instructions burned: 130 (million)
% 8.93/3.22 % (3049918)Instruction limit reached!
% 8.93/3.22 % (3049918)------------------------------
% 8.93/3.22 % (3049918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/3.22 % (3049918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/3.22 % (3049918)CaDiCaL version: 2.1.3
% 8.93/3.22 % (3049918)Termination reason: Instruction limit
% 8.93/3.22 % (3049918)Termination phase: Preprocessing 3
% 8.93/3.22 % (3049918)Time elapsed: 0.101 s
% 8.93/3.22 % (3049918)Peak memory usage: 114 MB
% 8.93/3.22 % (3049918)Instructions burned: 119 (million)
% 8.93/3.22 % (3049928)lrs+10_1_sil=8000:sp=occurrence:random_seed=1874363421:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 8.93/3.22 % (3049929)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3662635907:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 8.93/3.22 % (3049930)lrs+1011_1_sil=32000:sp=occurrence:random_seed=813113886:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 8.93/3.22 % (3049931)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=3795706159:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 8.93/3.22 % (3049929)Instruction limit reached!
% 8.93/3.22 % (3049929)------------------------------
% 8.93/3.22 % (3049929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/3.22 % (3049929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/3.22 % (3049929)CaDiCaL version: 2.1.3
% 8.93/3.22 % (3049929)Termination reason: Instruction limit
% 8.93/3.22 % (3049929)Termination phase: Property scanning
% 8.93/3.22 % (3049929)Time elapsed: 0.068 s
% 8.93/3.22 % (3049929)Peak memory usage: 112 MB
% 8.93/3.22 % (3049929)Instructions burned: 158 (million)
% 8.93/3.22 % (3049931)Instruction limit reached!
% 8.93/3.22 % (3049931)------------------------------
% 8.93/3.22 % (3049931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/3.22 % (3049931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/3.22 % (3049931)CaDiCaL version: 2.1.3
% 8.93/3.22 % (3049931)Termination reason: Instruction limit
% 8.93/3.22 % (3049931)Termination phase: Property scanning
% 8.93/3.22 % (3049931)Time elapsed: 0.108 s
% 8.93/3.22 % (3049931)Peak memory usage: 112 MB
% 8.93/3.22 % (3049931)Instructions burned: 249 (million)
% 8.93/3.22 % (3049928)Instruction limit reached!
% 8.93/3.22 % (3049928)------------------------------
% 8.93/3.22 % (3049928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/3.22 % (3049928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/3.22 % (3049928)CaDiCaL version: 2.1.3
% 8.93/3.22 % (3049928)Termination reason: Instruction limit
% 8.93/3.22 % (3049928)Termination phase: Saturation
% 8.93/3.22 % (3049928)Time elapsed: 0.218 s
% 8.93/3.22 % (3049928)Peak memory usage: 119 MB
% 8.93/3.22 % (3049928)Instructions burned: 285 (million)
% 8.93/3.22 % (3049936)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3121753422:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 8.93/3.22 % (3049930)Instruction limit reached!
% 8.93/3.22 % (3049930)------------------------------
% 8.93/3.22 % (3049930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/3.22 % (3049930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/3.22 % (3049930)CaDiCaL version: 2.1.3
% 8.93/3.22 % (3049930)Termination reason: Instruction limit
% 8.93/3.22 % (3049930)Termination phase: Saturation
% 8.93/3.22 % (3049930)Time elapsed: 0.248 s
% 8.93/3.22 % (3049930)Peak memory usage: 119 MB
% 8.93/3.22 % (3049930)Instructions burned: 325 (million)
% 8.93/3.22 % (3049937)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4184938971:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 8.93/3.22 % (3049938)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3586289177:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 8.93/3.22 % (3049940)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1732330908:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 8.93/3.22 % (3049936)Instruction limit reached!
% 8.93/3.22 % (3049936)------------------------------
% 8.93/3.22 % (3049936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/3.22 % (3049936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/3.22 % (3049936)CaDiCaL version: 2.1.3
% 8.93/3.22 % (3049936)Termination reason: Instruction limit
% 8.93/3.22 % (3049936)Termination phase: Property scanning
% 8.93/3.22 % (3049936)Time elapsed: 0.213 s
% 8.93/3.22 % (3049936)Peak memory usage: 119 MB
% 8.93/3.22 % (3049936)Instructions burned: 294 (million)
% 8.93/3.22 % (3049938)Instruction limit reached!
% 8.93/3.22 % (3049938)------------------------------
% 8.93/3.22 % (3049938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/3.22 % (3049938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/3.22 % (3049938)CaDiCaL version: 2.1.3
% 8.93/3.22 % (3049938)Termination reason: Instruction limit
% 8.93/3.22 % (3049938)Termination phase: SInE selection
% 8.93/3.22 % (3049938)Time elapsed: 0.092 s
% 8.93/3.22 % (3049938)Peak memory usage: 112 MB
% 8.93/3.22 % (3049938)Instructions burned: 114 (million)
% 8.93/3.22 % (3049940)Instruction limit reached!
% 8.93/3.22 % (3049940)------------------------------
% 8.93/3.22 % (3049940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/3.22 % (3049940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/3.22 % (3049940)CaDiCaL version: 2.1.3
% 8.93/3.22 % (3049940)Termination reason: Instruction limit
% 8.93/3.22 % (3049940)Termination phase: Preprocessing 1
% 8.93/3.22 % (3049940)Time elapsed: 0.093 s
% 8.93/3.22 % (3049940)Peak memory usage: 113 MB
% 8.93/3.22 % (3049940)Instructions burned: 127 (million)
% 8.93/3.22 % (3049944)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=948708211:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2980 on theBenchmark for (2980ds/114Mi)
% 8.93/3.22 % (3049945)lrs+10_1_sil=8000:sp=occurrence:random_seed=2314935877:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2980 on theBenchmark for (2980ds/907Mi)
% 8.93/3.22 % (3049944)Instruction limit reached!
% 8.93/3.22 % (3049944)------------------------------
% 8.93/3.22 % (3049944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/3.22 % (3049944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/3.22 % (3049944)CaDiCaL version: 2.1.3
% 8.93/3.22 % (3049944)Termination reason: Instruction limit
% 8.93/3.22 % (3049944)Termination phase: Property scanning
% 8.93/3.22 % (3049944)Time elapsed: 0.049 s
% 8.93/3.22 % (3049944)Peak memory usage: 112 MB
% 8.93/3.22 % (3049944)Instructions burned: 114 (million)
% 8.93/3.22 % (3049915)First to succeed.
% 8.93/3.22 % (3049915)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3049909"
% 8.93/3.22 % (3049946)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3438578828:i=437:sd=1:aac=none:ss=included_2979 on theBenchmark for (2979ds/437Mi)
% 8.93/3.22 % (3049915)Refutation found. Thanks to Tanya!
% 8.93/3.22 % SZS status Theorem for theBenchmark
% 8.93/3.22 % SZS output start Proof for theBenchmark
% See solution above
% 10.65/3.42 % (3049915)------------------------------
% 10.65/3.42 % (3049915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/3.42 % (3049915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/3.42 % (3049915)CaDiCaL version: 2.1.3
% 10.65/3.42 % (3049915)Termination reason: Refutation
% 10.65/3.42 % (3049915)Time elapsed: 0.964 s
% 10.65/3.42 % (3049915)Peak memory usage: 198 MB
% 10.65/3.42 % (3049915)Instructions burned: 2794 (million)
% 10.65/3.42 % (3049915)------------------------------
% 10.65/3.42 % (3049915)------------------------------
% 10.65/3.42 % (3049909)Success in time 2.358 s
% 10.65/3.42 % Vampire exiting
%------------------------------------------------------------------------------