%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN065-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:49:12 PM UTC 2026
% Result : Unsatisfiable 3.47s 1.26s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : big_f(X0,f(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ big_f(X1,X2)
| ~ big_f(X0,X1)
| big_h(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f7,negated_conjecture,
! [X0] : ~ big_h(a,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,plain,
! [X0,X1] :
( big_h(X0,f(X1))
| ~ big_f(X0,X1) ),
inference(resolution,[],[f3,f1]) ).
fof(f9,plain,
! [X0] : ~ big_f(a,X0),
inference(resolution,[],[f8,f7]) ).
fof(f11,plain,
$false,
inference(resolution,[],[f9,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN065-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n019.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 15:27:49 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 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
% 3.47/1.26 % (4090736)Input is clausal, will run a generic CNF schedule.
% 3.47/1.26 % (4090745)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2731647750:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.26 % (4090745)Refutation not found, incomplete strategy
% 3.47/1.26 % (4090745)------------------------------
% 3.47/1.26 % (4090745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.26 % (4090745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.26 % (4090745)CaDiCaL version: 2.1.3
% 3.47/1.26 % (4090745)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.26 % (4090745)Time elapsed: 0.0000 s
% 3.47/1.26 % (4090745)Peak memory usage: 86 MB
% 3.47/1.26 % (4090743)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2588816970:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.26 % (4090742)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=351696993:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.26 % (4090741)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=1421854132:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.26 % (4090747)dis-21_1_sil=8000:lcm=predicate:random_seed=1701599631:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.47/1.26 % (4090744)lrs+10_1_sil=8000:sp=occurrence:random_seed=809923506:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.26 % (4090746)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2098691871:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.26 % (4090747)Also succeeded, but the first one will report.
% 3.47/1.26 % (4090744)First to succeed.
% 3.47/1.26 % (4090744)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4090736"
% 3.47/1.26 % (4090746)Also succeeded, but the first one will report.
% 3.47/1.26 % (4090745)------------------------------
% 3.47/1.26 % (4090745)------------------------------
% 3.47/1.26 % (4090755)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=812756918:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.47/1.26 % (4090755)Refutation not found, incomplete strategy
% 3.47/1.26 % (4090755)------------------------------
% 3.47/1.26 % (4090755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.26 % (4090755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.26 % (4090755)CaDiCaL version: 2.1.3
% 3.47/1.26 % (4090755)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.26 % (4090755)Time elapsed: 0.0000 s
% 3.47/1.26 % (4090755)Peak memory usage: 87 MB
% 3.47/1.26 % (4090744)Refutation found. Thanks to Tanya!
% 3.47/1.26 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.26 % (4090744)------------------------------
% 3.47/1.26 % (4090744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.26 % (4090744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.26 % (4090744)CaDiCaL version: 2.1.3
% 3.47/1.26 % (4090744)Termination reason: Refutation
% 3.47/1.26 % (4090744)Time elapsed: 0.001 s
% 3.47/1.26 % (4090744)Peak memory usage: 88 MB
% 3.47/1.26 % (4090744)------------------------------
% 3.47/1.26 % (4090744)------------------------------
% 3.47/1.26 % (4090736)Success in time 0.402 s
% 3.47/1.26 % Vampire exiting
%------------------------------------------------------------------------------