%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP209_4 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 11:36:50 AM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-4 aty)
% Number of variables : 10 ( 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_6,type,
a: $tType ).
tff(func_def_0,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_1,type,
a2: a ).
tff(func_def_2,type,
b: a ).
tff(func_def_3,type,
c: a ).
tff(func_def_4,type,
f: fun(a,fun(a,a)) ).
tff(func_def_5,type,
sK0:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).
tff(func_def_6,type,
sK1:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).
tff(func_def_7,type,
sK2:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).
tff(func_def_8,type,
sK3:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).
tff(func_def_9,type,
sK4:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).
tff(func_def_10,type,
sK5:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).
tff(func_def_11,type,
sK6:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).
tff(func_def_12,type,
sK7:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).
tff(func_def_13,type,
sK8:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).
tff(func_def_14,type,
sK9:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).
tff(pred_def_1,type,
syntax_ac_operator:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).
tff(pred_def_2,type,
syntax7388354845996824322omatch:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).
tff(pred_def_3,type,
syntax2379306206330768139omatch:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).
tff(f2,axiom,
! [X0: a,X1: a] : ( aa(a,a,aa(a,fun(a,a),f,X0),X1) = aa(a,a,aa(a,fun(a,a),f,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_commute) ).
tff(f3,axiom,
! [X0: a,X1: a,X2: a] : ( aa(a,a,aa(a,fun(a,a),f,X0),aa(a,a,aa(a,fun(a,a),f,X1),X2)) = aa(a,a,aa(a,fun(a,a),f,X1),aa(a,a,aa(a,fun(a,a),f,X0),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_left__commute) ).
tff(f13,conjecture,
aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),b)),c) = aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),c)),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f14,negated_conjecture,
( ( ~ aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),b)),c) ) = aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),c)),b) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
tff(f17,plain,
aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),b)),c) != aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),c)),b),
inference(flattening,[],[f14]) ).
tff(f33,plain,
! [X0: a,X1: a] : ( aa(a,a,aa(a,fun(a,a),f,X0),X1) = aa(a,a,aa(a,fun(a,a),f,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tff(f34,plain,
! [X2: a,X0: a,X1: a] : ( aa(a,a,aa(a,fun(a,a),f,X0),aa(a,a,aa(a,fun(a,a),f,X1),X2)) = aa(a,a,aa(a,fun(a,a),f,X1),aa(a,a,aa(a,fun(a,a),f,X0),X2)) ),
inference(cnf_transformation,[],[f3]) ).
tff(f44,plain,
aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),b)),c) != aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),c)),b),
inference(cnf_transformation,[],[f17]) ).
tff(f46,plain,
aa(a,a,aa(a,fun(a,a),f,aa(a,a,aa(a,fun(a,a),f,a2),b)),c) != aa(a,a,aa(a,fun(a,a),f,b),aa(a,a,aa(a,fun(a,a),f,a2),c)),
inference(superposition,[],[f44,f33]) ).
tff(f47,plain,
aa(a,a,aa(a,fun(a,a),f,b),aa(a,a,aa(a,fun(a,a),f,a2),c)) != aa(a,a,aa(a,fun(a,a),f,c),aa(a,a,aa(a,fun(a,a),f,a2),b)),
inference(forward_demodulation,[],[f46,f33]) ).
tff(f65,plain,
aa(a,a,aa(a,fun(a,a),f,b),aa(a,a,aa(a,fun(a,a),f,a2),c)) != aa(a,a,aa(a,fun(a,a),f,a2),aa(a,a,aa(a,fun(a,a),f,c),b)),
inference(superposition,[],[f47,f34]) ).
tff(f68,plain,
aa(a,a,aa(a,fun(a,a),f,b),aa(a,a,aa(a,fun(a,a),f,a2),c)) != aa(a,a,aa(a,fun(a,a),f,a2),aa(a,a,aa(a,fun(a,a),f,b),c)),
inference(forward_demodulation,[],[f65,f33]) ).
tff(f70,plain,
$false,
inference(forward_subsumption_resolution,[],[f68,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP209_4 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n008.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 12:24:24 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 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
% 0.17/0.47 % (1143982)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (1143988)% WARNING: option uhcvi not known.
% 0.17/0.47 % (1143990)dis+10_1_sil=32000:sp=arity:random_seed=2988461277:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (1143990) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1143982-1143990"...
% 0.17/0.47 % (1143987)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3070436457_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (1143991)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2091062574:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (1143989)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3244623901:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (1143988)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=797189294:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (1143990)...printing done.
% 0.17/0.47 % Exception at run slice level
% 0.17/0.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.17/0.47 % (1143990)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (1143990)------------------------------
% 0.17/0.47 % (1143990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (1143990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (1143990)CaDiCaL version: 2.1.3
% 0.17/0.47 % (1143990)Termination reason: Refutation
% 0.17/0.47 % (1143990)Time elapsed: 0.002 s
% 0.17/0.47 % (1143990)Peak memory usage: 11 MB
% 0.17/0.47 % (1143990)Instructions burned: 5 (million)
% 0.17/0.47 % (1143982)Success in time 0.032 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------