%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV861-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 01:26:33 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.31s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f630,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f631,negated_conjecture,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f632,negated_conjecture,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f633,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f635,negated_conjecture,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(v_c,X2,v_n,X1)
| hBOOL(hAPP(hAPP(v_Q,X0),X1))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f636,negated_conjecture,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(v_d,X2,v_n,X1)
| hBOOL(hAPP(hAPP(v_R,X0),X1))
| ~ hBOOL(hAPP(hAPP(v_Q,X0),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f961,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_Q,X0),v_s1))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s)) ),
inference(resolution,[],[f635,f631]) ).
fof(f962,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_R,X0),v_s_H))
| ~ hBOOL(hAPP(hAPP(v_Q,X0),v_s1)) ),
inference(resolution,[],[f636,f632]) ).
fof(f963,plain,
~ hBOOL(hAPP(hAPP(v_Q,v_Z),v_s1)),
inference(resolution,[],[f962,f633]) ).
fof(f964,plain,
~ hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
inference(resolution,[],[f963,f961]) ).
fof(f965,plain,
$false,
inference(forward_subsumption_resolution,[],[f964,f630]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV861-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n009.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 12:45:00 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.31 % (3004426)Will run a generic schedule for satisfiability detection.
% 0.20/0.31 % (3004435)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=37616629:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.31 % (3004432)% WARNING: option uhcvi not known.
% 0.20/0.31 % (3004431)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1929729421_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.31 % (3004432)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2984496559:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.31 % (3004433)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2358301329:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.31 % (3004434)dis+10_1_sil=32000:sp=arity:random_seed=1346839743:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.31 % (3004436)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3149126880:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.31 % (3004437)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2691609613:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.31 % (3004435) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3004426-3004435"...
% 0.20/0.31 % (3004434) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3004426-3004434"...
% 0.20/0.31 % (3004432) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3004426-3004432"...
% 0.20/0.31 % (3004435)...printing done.
% 0.20/0.31 % (3004434)...printing done.
% 0.20/0.31 % (3004435)Refutation found. Thanks to Tanya!
% 0.20/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.31 % (3004435)------------------------------
% 0.20/0.31 % (3004435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (3004435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (3004435)CaDiCaL version: 2.1.3
% 0.20/0.31 % (3004435)Termination reason: Refutation
% 0.20/0.31 % (3004435)Time elapsed: 0.018 s
% 0.20/0.31 % (3004435)Peak memory usage: 13 MB
% 0.20/0.31 % (3004435)Instructions burned: 61 (million)
% 0.20/0.31 % (3004426)Success in time 0.068 s
% 0.20/0.31 % Vampire exiting
%------------------------------------------------------------------------------