%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW344+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 4.63s 2.01s
% Output : Refutation 4.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 13 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5206,axiom,
! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(v_c,X1,v_n,X2)
=> v_Q(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f5207,axiom,
! [X0,X1] :
( v_Q(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(v_d,X1,v_n,X2)
=> v_R(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
fof(f5208,axiom,
v_P(v_Z,v_s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
fof(f5209,axiom,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(f5210,axiom,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
fof(f5211,conjecture,
v_R(v_Z,v_s_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
fof(f5212,negated_conjecture,
~ v_R(v_Z,v_s_H),
inference(negated_conjecture,[status(cth)],[f5211]) ).
fof(f5213,plain,
~ v_R(v_Z,v_s_H),
inference(flattening,[],[f5212]) ).
fof(f5216,plain,
! [X0,X1] :
( ! [X2] :
( v_Q(X0,X2)
| ~ c_Natural_Oevaln(v_c,X1,v_n,X2) )
| ~ v_P(X0,X1) ),
inference(ennf_transformation,[],[f5206]) ).
fof(f5217,plain,
! [X0,X1] :
( ! [X2] :
( v_R(X0,X2)
| ~ c_Natural_Oevaln(v_d,X1,v_n,X2) )
| ~ v_Q(X0,X1) ),
inference(ennf_transformation,[],[f5207]) ).
fof(f5273,plain,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(v_c,X1,v_n,X2)
| v_Q(X0,X2)
| ~ v_P(X0,X1) ),
inference(cnf_transformation,[],[f5216]) ).
fof(f5274,plain,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(v_d,X1,v_n,X2)
| v_R(X0,X2)
| ~ v_Q(X0,X1) ),
inference(cnf_transformation,[],[f5217]) ).
fof(f5275,plain,
v_P(v_Z,v_s),
inference(cnf_transformation,[],[f5208]) ).
fof(f5276,plain,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(cnf_transformation,[],[f5209]) ).
fof(f5277,plain,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(cnf_transformation,[],[f5210]) ).
fof(f5278,plain,
~ v_R(v_Z,v_s_H),
inference(cnf_transformation,[],[f5213]) ).
fof(f5358,plain,
! [X0] :
( ~ v_P(X0,v_s)
| v_Q(X0,v_s1) ),
inference(resolution,[],[f5273,f5276]) ).
fof(f5365,plain,
! [X0] :
( ~ v_Q(X0,v_s1)
| v_R(X0,v_s_H) ),
inference(resolution,[],[f5274,f5277]) ).
fof(f5372,plain,
v_Q(v_Z,v_s1),
inference(resolution,[],[f5358,f5275]) ).
fof(f5375,plain,
v_R(v_Z,v_s_H),
inference(resolution,[],[f5365,f5372]) ).
fof(f5376,plain,
$false,
inference(forward_subsumption_resolution,[],[f5375,f5278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW344+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 % Computer : n008.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 13:39:54 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.31 Running first-order theorem proving
% 0.23/0.31 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.63/2.01 % (2255480)Detected formulas, will run a generic FOF schedule.
% 4.63/2.01 % (2255490)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3649651251:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 4.63/2.01 % (2255490)First to succeed.
% 4.63/2.01 % (2255490)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2255480"
% 4.63/2.01 % (2255491)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3201684344:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 4.63/2.01 % (2255492)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=168580895:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 4.63/2.01 % (2255489)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=3926671808:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 4.63/2.01 % (2255493)dis-21_1_sil=8000:lcm=predicate:random_seed=4290091898: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)
% 4.63/2.01 % (2255488)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=4285876290:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 4.63/2.01 % (2255487)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=903830524:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 4.63/2.01 % (2255492)Instruction limit reached!
% 4.63/2.01 % (2255492)------------------------------
% 4.63/2.01 % (2255492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/2.01 % (2255492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/2.01 % (2255492)CaDiCaL version: 2.1.3
% 4.63/2.01 % (2255492)Termination reason: Instruction limit
% 4.63/2.01 % (2255492)Termination phase: SInE selection
% 4.63/2.01 % (2255492)Time elapsed: 0.112 s
% 4.63/2.01 % (2255492)Peak memory usage: 90 MB
% 4.63/2.01 % (2255492)Instructions burned: 139 (million)
% 4.63/2.01 % (2255491)Instruction limit reached!
% 4.63/2.01 % (2255491)------------------------------
% 4.63/2.01 % (2255491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/2.01 % (2255491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/2.01 % (2255491)CaDiCaL version: 2.1.3
% 4.63/2.01 % (2255491)Termination reason: Instruction limit
% 4.63/2.01 % (2255491)Termination phase: Property scanning
% 4.63/2.01 % (2255491)Time elapsed: 0.117 s
% 4.63/2.01 % (2255491)Peak memory usage: 93 MB
% 4.63/2.01 % (2255491)Instructions burned: 119 (million)
% 4.63/2.01 % (2255493)Instruction limit reached!
% 4.63/2.01 % (2255493)------------------------------
% 4.63/2.01 % (2255493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/2.01 % (2255493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/2.01 % (2255493)CaDiCaL version: 2.1.3
% 4.63/2.01 % (2255493)Termination reason: Instruction limit
% 4.63/2.01 % (2255493)Termination phase: Preprocessing 3
% 4.63/2.01 % (2255493)Time elapsed: 0.129 s
% 4.63/2.01 % (2255493)Peak memory usage: 93 MB
% 4.63/2.01 % (2255493)Instructions burned: 129 (million)
% 4.63/2.01 % (2255490)Refutation found. Thanks to Tanya!
% 4.63/2.01 % SZS status Theorem for theBenchmark
% 4.63/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 4.63/2.01 % (2255490)------------------------------
% 4.63/2.01 % (2255490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/2.01 % (2255490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/2.01 % (2255490)CaDiCaL version: 2.1.3
% 4.63/2.01 % (2255490)Termination reason: Refutation
% 4.63/2.01 % (2255490)Time elapsed: 0.028 s
% 4.63/2.01 % (2255490)Peak memory usage: 94 MB
% 4.63/2.01 % (2255490)Instructions burned: 41 (million)
% 4.63/2.01 % (2255490)------------------------------
% 4.63/2.01 % (2255490)------------------------------
% 4.63/2.01 % (2255480)Success in time 0.943 s
% 4.63/2.01 % Vampire exiting
%------------------------------------------------------------------------------