%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV664+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 : n009.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 12:58:31 PM UTC 2026
% Result : Theorem 3.37s 1.17s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 27 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 22 ( 6 ~; 0 |; 6 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2539,conjecture,
! [X0] :
( cProp___24t(X0)
=> ! [X1] :
( cProp___24t(X1)
=> ( X0 = X1
=> ( p(X0)
=> p(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2540,negated_conjecture,
~ ! [X0] :
( cProp___24t(X0)
=> ! [X1] :
( cProp___24t(X1)
=> ( X0 = X1
=> ( p(X0)
=> p(X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2539]) ).
fof(f2541,plain,
~ ! [X0,X1] :
( X0 = X1
=> ( p(X0)
=> p(X1) ) ),
inference(pure_predicate_removal,[],[f2540]) ).
fof(f2542,plain,
? [X0,X1] :
( ~ p(X1)
& p(X0)
& X0 = X1 ),
inference(ennf_transformation,[],[f2541]) ).
fof(f2543,plain,
? [X0,X1] :
( ~ p(X1)
& p(X0)
& X0 = X1 ),
inference(flattening,[],[f2542]) ).
fof(f2544,plain,
( ~ p(sK1)
& p(sK0)
& sK0 = sK1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f2543]) ).
fof(f2545,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f2544]) ).
fof(f2546,plain,
p(sK0),
inference(cnf_transformation,[],[f2544]) ).
fof(f2547,plain,
~ p(sK1),
inference(cnf_transformation,[],[f2544]) ).
fof(f2548,plain,
p(sK1),
inference(definition_unfolding,[],[f2546,f2545]) ).
fof(f2549,plain,
$false,
inference(forward_subsumption_resolution,[],[f2548,f2547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV664+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n009.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 06:50:00 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 3.37/1.17 % (2843768)Detected formulas, will run a generic FOF schedule.
% 3.37/1.17 % (2843778)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2863944373:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.37/1.17 % (2843776)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1306156085:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.37/1.17 % (2843777)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=645492011:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.37/1.17 % (2843779)dis-21_1_sil=8000:lcm=predicate:random_seed=203026078:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.37/1.17 % (2843773)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=825718365:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.37/1.17 % (2843775)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=2213444519:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.37/1.17 % (2843774)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=1761556109:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.37/1.17 % (2843776)Also succeeded, but the first one will report.
% 3.37/1.17 % (2843777)First to succeed.
% 3.37/1.17 % (2843777)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2843768"
% 3.37/1.17 % (2843778)Instruction limit reached!
% 3.37/1.17 % (2843778)------------------------------
% 3.37/1.17 % (2843778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.17 % (2843778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.17 % (2843778)CaDiCaL version: 2.1.3
% 3.37/1.17 % (2843778)Termination reason: Instruction limit
% 3.37/1.17 % (2843778)Termination phase: Property scanning
% 3.37/1.17 % (2843778)Time elapsed: 0.041 s
% 3.37/1.17 % (2843778)Peak memory usage: 94 MB
% 3.37/1.17 % (2843778)Instructions burned: 141 (million)
% 3.37/1.17 % (2843779)Instruction limit reached!
% 3.37/1.17 % (2843779)------------------------------
% 3.37/1.17 % (2843779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.17 % (2843779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.17 % (2843779)CaDiCaL version: 2.1.3
% 3.37/1.17 % (2843779)Termination reason: Instruction limit
% 3.37/1.17 % (2843779)Termination phase: Property scanning
% 3.37/1.17 % (2843779)Time elapsed: 0.071 s
% 3.37/1.17 % (2843779)Peak memory usage: 93 MB
% 3.37/1.17 % (2843779)Instructions burned: 131 (million)
% 3.37/1.17 % (2843787)lrs+10_1_sil=8000:sp=occurrence:random_seed=1190811067:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.37/1.17 % (2843787)Also succeeded, but the first one will report.
% 3.37/1.17 % (2843788)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1035071742:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.37/1.17 % (2843788)Also succeeded, but the first one will report.
% 3.37/1.17 % (2843777)Refutation found. Thanks to Tanya!
% 3.37/1.17 % SZS status Theorem for theBenchmark
% 3.37/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.17 % (2843777)------------------------------
% 3.37/1.17 % (2843777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.17 % (2843777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.17 % (2843777)CaDiCaL version: 2.1.3
% 3.37/1.17 % (2843777)Termination reason: Refutation
% 3.37/1.17 % (2843777)Time elapsed: 0.012 s
% 3.37/1.17 % (2843777)Peak memory usage: 91 MB
% 3.37/1.17 % (2843777)Instructions burned: 25 (million)
% 3.37/1.17 % (2843777)------------------------------
% 3.37/1.17 % (2843777)------------------------------
% 3.37/1.17 % (2843768)Success in time 0.472 s
% 3.37/1.17 % Vampire exiting
%------------------------------------------------------------------------------