%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN083-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : Unsatisfiable 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 4 ( 4 unt; 0 def)
% Number of atoms : 4 ( 3 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative) ).
fof(f2,negated_conjecture,
f(a,f(b,f(c,d))) != f(f(f(a,b),c),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f5,plain,
f(a,f(b,f(c,d))) != f(f(a,b),f(c,d)),
inference(superposition,[],[f2,f1]) ).
fof(f6,plain,
$false,
inference(forward_subsumption_resolution,[],[f5,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN083-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % 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 15:32:37 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
% 0.20/0.27 % (461969)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (461974)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2601641621_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % TRYING [1]
% 0.20/0.27 % TRYING [2]
% 0.20/0.27 % TRYING [3]
% 0.20/0.27 % (461975)% WARNING: option uhcvi not known.
% 0.20/0.27 % (461977)dis+10_1_sil=32000:sp=arity:random_seed=2061617423:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (461975)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2682300508:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (461976)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2638470643:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (461978)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2904859702:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % TRYING [4]
% 0.20/0.27 % (461980)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=43747702:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % (461979)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3539177721:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % (461977) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-461969-461977"...
% 0.20/0.27 % (461975) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-461969-461975"...
% 0.20/0.27 % (461976) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-461969-461976"...
% 0.20/0.27 % (461978) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-461969-461978"...
% 0.20/0.27 % (461979) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-461969-461979"...
% 0.20/0.27 % (461980) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-461969-461980"...
% 0.20/0.27 % (461977)...printing done.
% 0.20/0.27 % (461975)...printing done.
% 0.20/0.27 % (461976)...printing done.
% 0.20/0.27 % (461978)...printing done.
% 0.20/0.27 % (461979)...printing done.
% 0.20/0.27 % (461980)...printing done.
% 0.20/0.27 % (461977)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (461977)------------------------------
% 0.20/0.27 % (461977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (461977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (461977)CaDiCaL version: 2.1.3
% 0.20/0.27 % (461977)Termination reason: Refutation
% 0.20/0.27 % (461977)Time elapsed: 0.001 s
% 0.20/0.27 % (461977)Peak memory usage: 11 MB
% 0.20/0.27 % (461969)Success in time 0.033 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------