%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV672+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:58:32 PM UTC 2026
% Result : Theorem 3.70s 1.62s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2023,axiom,
cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Stlc.STLC.step_example1') ).
fof(f3119,conjecture,
cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f3120,negated_conjecture,
~ cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
inference(negated_conjecture,[status(cth)],[f3119]) ).
fof(f3121,plain,
~ cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
inference(flattening,[],[f3120]) ).
fof(f3131,plain,
~ cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
inference(cnf_transformation,[],[f3121]) ).
fof(f3149,plain,
cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
inference(cnf_transformation,[],[f2023]) ).
fof(f3152,plain,
$false,
inference(forward_subsumption_resolution,[],[f3131,f3149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV672+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 06:52:53 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 3.70/1.62 % (159701)Detected formulas, will run a generic FOF schedule.
% 3.70/1.62 % (159707)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=856130269:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 3.70/1.62 % (159709)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1790540269:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 3.70/1.62 % (159708)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=2507280269:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 3.70/1.62 % (159711)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=366758033:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 3.70/1.62 % (159706)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=2959147114:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 3.70/1.62 % (159710)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4102148886:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 3.70/1.62 % (159712)dis-21_1_sil=8000:lcm=predicate:random_seed=1343890955:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 3.70/1.62 % (159709)First to succeed.
% 3.70/1.62 % (159709)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-159701"
% 3.70/1.62 % (159710)Also succeeded, but the first one will report.
% 3.70/1.62 % (159711)Instruction limit reached!
% 3.70/1.62 % (159711)------------------------------
% 3.70/1.62 % (159711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.62 % (159711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.62 % (159711)CaDiCaL version: 2.1.3
% 3.70/1.62 % (159711)Termination reason: Instruction limit
% 3.70/1.62 % (159711)Termination phase: Preprocessing 3
% 3.70/1.62 % (159711)Time elapsed: 0.069 s
% 3.70/1.62 % (159711)Peak memory usage: 92 MB
% 3.70/1.62 % (159711)Instructions burned: 139 (million)
% 3.70/1.62 % (159712)Instruction limit reached!
% 3.70/1.62 % (159712)------------------------------
% 3.70/1.62 % (159712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.62 % (159712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.62 % (159712)CaDiCaL version: 2.1.3
% 3.70/1.62 % (159712)Termination reason: Instruction limit
% 3.70/1.62 % (159712)Termination phase: Preprocessing 3
% 3.70/1.62 % (159712)Time elapsed: 0.075 s
% 3.70/1.62 % (159712)Peak memory usage: 95 MB
% 3.70/1.62 % (159712)Instructions burned: 130 (million)
% 3.70/1.62 % (159720)lrs+10_1_sil=8000:sp=occurrence:random_seed=4222979136:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.70/1.62 % (159720)Also succeeded, but the first one will report.
% 3.70/1.62 % (159721)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2659839220:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.70/1.62 % (159721)Also succeeded, but the first one will report.
% 3.70/1.62 % (159709)Refutation found. Thanks to Tanya!
% 3.70/1.62 % SZS status Theorem for theBenchmark
% 3.70/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.62 % (159709)------------------------------
% 3.70/1.62 % (159709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.62 % (159709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.62 % (159709)CaDiCaL version: 2.1.3
% 3.70/1.62 % (159709)Termination reason: Refutation
% 3.70/1.62 % (159709)Time elapsed: 0.016 s
% 3.70/1.62 % (159709)Peak memory usage: 93 MB
% 3.70/1.62 % (159709)Instructions burned: 34 (million)
% 3.70/1.62 % (159709)------------------------------
% 3.70/1.62 % (159709)------------------------------
% 3.70/1.62 % (159701)Success in time 0.559 s
% 3.70/1.62 % Vampire exiting
%------------------------------------------------------------------------------