%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW314+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 : 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 01:30:05 PM UTC 2026
% Result : Theorem 4.29s 1.73s
% Output : Refutation 4.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
=> c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cut) ).
fof(f5226,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f5230,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(f5231,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
fof(f5232,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(negated_conjecture,[status(cth)],[f5231]) ).
fof(f5233,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(flattening,[],[f5232]) ).
fof(f5236,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f5237,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(flattening,[],[f5236]) ).
fof(f5265,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
inference(cnf_transformation,[],[f5226]) ).
fof(f5269,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
inference(cnf_transformation,[],[f5230]) ).
fof(f5270,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(cnf_transformation,[],[f5233]) ).
fof(f5271,plain,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1) ),
inference(cnf_transformation,[],[f5237]) ).
fof(f5315,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_G_H)
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts) ),
inference(resolution,[],[f5265,f5271]) ).
fof(f5319,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(resolution,[],[f5315,f5269]) ).
fof(f5320,plain,
$false,
inference(forward_subsumption_resolution,[],[f5319,f5270]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW314+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 13:34:16 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 4.29/1.73 % (783348)Detected formulas, will run a generic FOF schedule.
% 4.29/1.73 % (783353)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=3080343300:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 4.29/1.73 % (783354)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=3939991027:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 4.29/1.73 % (783356)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2008026460:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 4.29/1.73 % (783355)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=2856659983:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 4.29/1.73 % (783359)dis-21_1_sil=8000:lcm=predicate:random_seed=3915197467: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)
% 4.29/1.73 % (783357)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=240398401:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 4.29/1.73 % (783358)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1569127685:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 4.29/1.73 % (783356)First to succeed.
% 4.29/1.73 % (783356)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-783348"
% 4.29/1.73 % (783358)Instruction limit reached!
% 4.29/1.73 % (783358)------------------------------
% 4.29/1.73 % (783358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.73 % (783358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.73 % (783358)CaDiCaL version: 2.1.3
% 4.29/1.73 % (783358)Termination reason: Instruction limit
% 4.29/1.73 % (783358)Termination phase: SInE selection
% 4.29/1.73 % (783358)Time elapsed: 0.058 s
% 4.29/1.73 % (783358)Peak memory usage: 90 MB
% 4.29/1.73 % (783358)Instructions burned: 139 (million)
% 4.29/1.73 % (783357)Also succeeded, but the first one will report.
% 4.29/1.73 % (783359)Instruction limit reached!
% 4.29/1.73 % (783359)------------------------------
% 4.29/1.73 % (783359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.73 % (783359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.73 % (783359)CaDiCaL version: 2.1.3
% 4.29/1.73 % (783359)Termination reason: Instruction limit
% 4.29/1.73 % (783359)Termination phase: Preprocessing 3
% 4.29/1.73 % (783359)Time elapsed: 0.084 s
% 4.29/1.73 % (783359)Peak memory usage: 93 MB
% 4.29/1.73 % (783359)Instructions burned: 131 (million)
% 4.29/1.73 % (783367)lrs+10_1_sil=8000:sp=occurrence:random_seed=455504800:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 4.29/1.73 % (783368)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3502377899:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 4.29/1.73 % (783367)Also succeeded, but the first one will report.
% 4.29/1.73 % (783356)Refutation found. Thanks to Tanya!
% 4.29/1.73 % SZS status Theorem for theBenchmark
% 4.29/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 4.29/1.73 % (783356)------------------------------
% 4.29/1.73 % (783356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.73 % (783356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.73 % (783356)CaDiCaL version: 2.1.3
% 4.29/1.73 % (783356)Termination reason: Refutation
% 4.29/1.73 % (783356)Time elapsed: 0.027 s
% 4.29/1.73 % (783356)Peak memory usage: 94 MB
% 4.29/1.73 % (783356)Instructions burned: 34 (million)
% 4.29/1.73 % (783356)------------------------------
% 4.29/1.73 % (783356)------------------------------
% 4.29/1.73 % (783348)Success in time 0.868 s
% 4.29/1.73 % Vampire exiting
%------------------------------------------------------------------------------