%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN074-1 : 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 : n018.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 02:06:41 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.26s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 9 unt; 2 def)
% Number of atoms : 85 ( 40 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 86 ( 40 ~; 44 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ big_f(X0,X1)
| X0 = a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| a = X0 ),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ big_f(X0,X1)
| X1 = b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f4,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| b = X1 ),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] :
( X0 != a
| X1 != b
| big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f6,plain,
! [X0,X1] :
( a != X0
| b != X1
| big_f(X0,X1) ),
inference(reorient_equations,[],[f5]) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( X0 != g(X1)
| big_f(f(X1),X0)
| f(X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f16,plain,
! [X0,X1] :
( g(X1) != X0
| big_f(f(X1),X0)
| f(X1) = X1 ),
inference(reorient_equations,[],[f15]) ).
fof(f19,negated_conjecture,
! [X0,X1] :
( f(X0) != X0
| big_f(f(X0),h(X0,X1))
| h(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f20,negated_conjecture,
! [X0,X1] :
( h(X0,X1) != X1
| f(X0) != X0
| ~ big_f(f(X0),h(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f21,plain,
! [X1] :
( b != X1
| big_f(a,X1) ),
inference(equality_resolution,[],[f6]) ).
fof(f22,plain,
big_f(a,b),
inference(equality_resolution,[],[f21]) ).
fof(f24,plain,
! [X1] :
( big_f(f(X1),g(X1))
| f(X1) = X1 ),
inference(equality_resolution,[],[f16]) ).
fof(f31,plain,
! [X0] :
( a = f(X0)
| f(X0) = X0 ),
inference(resolution,[],[f2,f24]) ).
fof(f43,plain,
! [X0] :
( a != X0
| f(X0) = X0 ),
inference(equality_factoring,[],[f31]) ).
fof(f49,plain,
a = f(a),
inference(equality_resolution,[],[f43]) ).
fof(f53,plain,
! [X0] :
( a != a
| big_f(a,h(a,X0))
| h(a,X0) = X0 ),
inference(superposition,[],[f19,f49]) ).
fof(f55,plain,
! [X0] :
( big_f(a,h(a,X0))
| h(a,X0) = X0 ),
inference(trivial_inequality_removal,[],[f53]) ).
fof(f61,definition,
( spl0_2
<=> ! [X0] :
( big_f(a,h(a,X0))
| h(a,X0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f62,plain,
( ! [X0] :
( big_f(a,h(a,X0))
| h(a,X0) = X0 )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,plain,
spl0_2,
inference(avatar_split_clause,[],[f55,f61]) ).
fof(f85,definition,
( spl0_4
<=> ! [X0] :
( b = h(a,X0)
| h(a,X0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f86,plain,
( ! [X0] :
( b = h(a,X0)
| h(a,X0) = X0 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f108,plain,
( ! [X0] :
( h(a,X0) = X0
| b = h(a,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f62,f4]) ).
fof(f110,plain,
( spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f108,f61,f85]) ).
fof(f125,plain,
( ! [X0] :
( b != X0
| h(a,X0) = X0 )
| ~ spl0_4 ),
inference(equality_factoring,[],[f86]) ).
fof(f141,plain,
( b = h(a,b)
| ~ spl0_4 ),
inference(equality_resolution,[],[f125]) ).
fof(f162,plain,
( b != b
| a != f(a)
| ~ big_f(f(a),b)
| ~ spl0_4 ),
inference(superposition,[],[f20,f141]) ).
fof(f165,plain,
( a != f(a)
| ~ big_f(f(a),b)
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f162]) ).
fof(f168,plain,
( ~ big_f(f(a),b)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f165,f2]) ).
fof(f170,plain,
( ~ big_f(a,b)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f168,f49]) ).
fof(f171,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f170,f22]) ).
fof(f172,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f171]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f64]) ).
cnf(s5,plain,
( ~ spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f110]) ).
cnf(s6,plain,
~ spl0_4,
inference(sat_conversion,[],[f172]) ).
cnf(s7,plain,
~ spl0_2,
inference(rat,[],[s5,s6]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s2,s7]) ).
fof(f173,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN074-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:34:10 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.21/0.26 % (3488349)Will run a generic schedule for satisfiability detection.
% 0.21/0.26 % (3488364)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2003946121:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.26 % (3488360)% WARNING: option uhcvi not known.
% 0.21/0.26 % (3488359)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1025043460_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.26 % (3488362)dis+10_1_sil=32000:sp=arity:random_seed=442470344:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.26 % (3488363)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=61069087:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.26 % (3488361)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=845829467:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.26 % (3488365)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3071242836:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.26 % (3488360)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1858383440:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.26 % TRYING [1]
% 0.21/0.26 % TRYING [2]
% 0.21/0.26 % TRYING [3]
% 0.21/0.26 % TRYING [4]
% 0.21/0.26 % (3488362) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3488349-3488362"...
% 0.21/0.26 % TRYING [5]
% 0.21/0.26 % (3488365) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3488349-3488365"...
% 0.21/0.26 % (3488360) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3488349-3488360"...
% 0.21/0.26 % (3488362)...printing done.
% 0.21/0.26 % (3488365)...printing done.
% 0.21/0.26 % (3488360)...printing done.
% 0.21/0.26 % (3488362)Refutation found. Thanks to Tanya!
% 0.21/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (3488362)------------------------------
% 0.21/0.27 % (3488362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (3488362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (3488362)CaDiCaL version: 2.1.3
% 0.21/0.27 % (3488362)Termination reason: Refutation
% 0.21/0.27 % (3488362)Time elapsed: 0.005 s
% 0.21/0.27 % (3488362)Peak memory usage: 12 MB
% 0.21/0.27 % (3488362)Instructions burned: 6 (million)
% 0.21/0.27 % (3488349)Success in time 0.041 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------