%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW342+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 01:30:09 PM UTC 2026
% Result : Theorem 4.18s 1.72s
% Output : Refutation 4.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 24 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 7 ~; 2 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 18 ( 15 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X1,X0)
=> X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_evaln__elim__cases_I1_J) ).
fof(f5206,conjecture,
! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,v_n,X2)
=> v_P(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f5207,negated_conjecture,
~ ! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,v_n,X2)
=> v_P(X0,X2) ) ),
inference(negated_conjecture,[status(cth)],[f5206]) ).
fof(f5210,plain,
? [X0,X1] :
( ? [X2] :
( ~ v_P(X0,X2)
& c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,v_n,X2) )
& v_P(X0,X1) ),
inference(ennf_transformation,[],[f5207]) ).
fof(f5238,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X1,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5239,plain,
( ~ v_P(sK0,sK2)
& c_Natural_Oevaln(c_Com_Ocom_OSKIP,sK1,v_n,sK2)
& v_P(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f5210]) ).
fof(f5259,plain,
v_P(sK0,sK1),
inference(cnf_transformation,[],[f5239]) ).
fof(f5260,plain,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,sK1,v_n,sK2),
inference(cnf_transformation,[],[f5239]) ).
fof(f5261,plain,
~ v_P(sK0,sK2),
inference(cnf_transformation,[],[f5239]) ).
fof(f5327,plain,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X1,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f5238]) ).
fof(f5371,plain,
sK1 = sK2,
inference(resolution,[],[f5260,f5327]) ).
fof(f5375,plain,
~ v_P(sK0,sK1),
inference(superposition,[],[f5261,f5371]) ).
fof(f5376,plain,
$false,
inference(forward_subsumption_resolution,[],[f5375,f5259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW342+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n017.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 13:35:15 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 4.18/1.72 % (3551946)Detected formulas, will run a generic FOF schedule.
% 4.18/1.72 % (3551951)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=912876371:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 4.18/1.72 % (3551955)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4140887354:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 4.18/1.72 % (3551957)dis-21_1_sil=8000:lcm=predicate:random_seed=232961598:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 4.18/1.72 % (3551954)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=501560852:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 4.18/1.72 % (3551956)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3534140938:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 4.18/1.72 % (3551952)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=2553918697:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 4.18/1.72 % (3551953)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=3811873292:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 4.18/1.72 % (3551954)First to succeed.
% 4.18/1.72 % (3551954)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3551946"
% 4.18/1.72 % (3551956)Instruction limit reached!
% 4.18/1.72 % (3551956)------------------------------
% 4.18/1.72 % (3551956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.72 % (3551956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.72 % (3551956)CaDiCaL version: 2.1.3
% 4.18/1.72 % (3551956)Termination reason: Instruction limit
% 4.18/1.72 % (3551956)Termination phase: SInE selection
% 4.18/1.72 % (3551956)Time elapsed: 0.057 s
% 4.18/1.72 % (3551956)Peak memory usage: 90 MB
% 4.18/1.72 % (3551956)Instructions burned: 139 (million)
% 4.18/1.72 % (3551955)Instruction limit reached!
% 4.18/1.72 % (3551955)------------------------------
% 4.18/1.72 % (3551955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.72 % (3551955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.72 % (3551955)CaDiCaL version: 2.1.3
% 4.18/1.72 % (3551955)Termination reason: Instruction limit
% 4.18/1.72 % (3551955)Termination phase: Property scanning
% 4.18/1.72 % (3551955)Time elapsed: 0.073 s
% 4.18/1.72 % (3551955)Peak memory usage: 93 MB
% 4.18/1.72 % (3551955)Instructions burned: 121 (million)
% 4.18/1.72 % (3551957)Instruction limit reached!
% 4.18/1.72 % (3551957)------------------------------
% 4.18/1.72 % (3551957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.72 % (3551957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.72 % (3551957)CaDiCaL version: 2.1.3
% 4.18/1.72 % (3551957)Termination reason: Instruction limit
% 4.18/1.72 % (3551957)Termination phase: Preprocessing 3
% 4.18/1.72 % (3551957)Time elapsed: 0.083 s
% 4.18/1.72 % (3551957)Peak memory usage: 93 MB
% 4.18/1.72 % (3551957)Instructions burned: 129 (million)
% 4.18/1.72 % (3551965)lrs+10_1_sil=8000:sp=occurrence:random_seed=1801447337:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 4.18/1.72 % (3551966)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3075783880:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 4.18/1.72 % (3551967)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2730847694:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 4.18/1.72 % (3551967)Also succeeded, but the first one will report.
% 4.18/1.72 % (3551965)Also succeeded, but the first one will report.
% 4.18/1.72 % (3551954)Refutation found. Thanks to Tanya!
% 4.18/1.72 % SZS status Theorem for theBenchmark
% 4.18/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 4.18/1.72 % (3551954)------------------------------
% 4.18/1.72 % (3551954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.72 % (3551954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.72 % (3551954)CaDiCaL version: 2.1.3
% 4.18/1.72 % (3551954)Termination reason: Refutation
% 4.18/1.72 % (3551954)Time elapsed: 0.029 s
% 4.18/1.72 % (3551954)Peak memory usage: 94 MB
% 4.18/1.72 % (3551954)Instructions burned: 38 (million)
% 4.18/1.72 % (3551954)------------------------------
% 4.18/1.72 % (3551954)------------------------------
% 4.18/1.72 % (3551946)Success in time 0.839 s
% 4.18/1.72 % Vampire exiting
%------------------------------------------------------------------------------