%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN083+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 02:06:43 PM UTC 2026
% Result : Theorem 0.09s 0.28s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p61_1) ).
fof(f2,conjecture,
! [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) = f(f(f(X0,X1),X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel61) ).
fof(f3,negated_conjecture,
~ ! [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) = f(f(f(X0,X1),X2),X3),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
? [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) != f(f(f(X0,X1),X2),X3),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
inference(cnf_transformation,[],[f1]) ).
fof(f6,plain,
f(sK0,f(sK1,f(sK2,sK3))) != f(f(f(sK0,sK1),sK2),sK3),
inference(cnf_transformation,[],[f4]) ).
fof(f9,plain,
f(sK0,f(sK1,f(sK2,sK3))) != f(f(sK0,sK1),f(sK2,sK3)),
inference(superposition,[],[f6,f5]) ).
fof(f10,plain,
$false,
inference(forward_subsumption_resolution,[],[f9,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN083+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:32:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.28 % (461110)Will run a generic schedule for satisfiability detection.
% 0.09/0.28 % (461115)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3295459570_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.28 % TRYING [1]
% 0.09/0.28 % TRYING [2]
% 0.09/0.28 % TRYING [3]
% 0.09/0.28 % (461116)% WARNING: option uhcvi not known.
% 0.09/0.28 % (461116)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3351844813:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.28 % (461117)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3398334211:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.28 % (461118)dis+10_1_sil=32000:sp=arity:random_seed=85499999:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.28 % (461119)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2203873949:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.28 % (461121)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3490083105:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.28 % (461116) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-461110-461116"...
% 0.09/0.28 % (461120)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=437924267:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.28 % (461117) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-461110-461117"...
% 0.09/0.28 % TRYING [4]
% 0.09/0.28 % (461118) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-461110-461118"...
% 0.09/0.28 % (461119) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-461110-461119"...
% 0.09/0.28 % (461121) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-461110-461121"...
% 0.09/0.28 % (461120) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-461110-461120"...
% 0.09/0.28 % (461116)...printing done.
% 0.09/0.28 % (461117)...printing done.
% 0.09/0.28 % (461119)...printing done.
% 0.09/0.28 % (461118)...printing done.
% 0.09/0.28 % (461116)Refutation found. Thanks to Tanya!
% 0.09/0.28 % SZS status Theorem for theBenchmark
% 0.09/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.28 % (461116)------------------------------
% 0.09/0.28 % (461116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.28 % (461116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.28 % (461116)CaDiCaL version: 2.1.3
% 0.09/0.28 % (461116)Termination reason: Refutation
% 0.09/0.28 % (461116)Time elapsed: 0.001 s
% 0.09/0.28 % (461116)Peak memory usage: 11 MB
% 0.09/0.28 % (461110)Success in time 0.043 s
% 0.09/0.28 % Vampire exiting
%------------------------------------------------------------------------------