%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP209^2 : 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 : n012.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 : Wed Sep 30 08:11:08 AM UTC 2026
% Result : Theorem 0.08s 0.16s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 93 ( 5 ~; 0 |; 0 &; 88 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 44 ( 42 usr; 4 con; 0-4 aty)
% Number of variables : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
syntax_ac_operator:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > $o ) ).
thf(func_def_1,type,
syntax7388354845996824322omatch:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > $o ) ).
thf(func_def_2,type,
syntax2379306206330768139omatch:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > $o ) ).
thf(func_def_3,type,
a2: a ).
thf(func_def_4,type,
b: a ).
thf(func_def_5,type,
c: a ).
thf(func_def_6,type,
f: a > a > a ).
thf(func_def_10,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_11,type,
vAND: $o > $o > $o ).
thf(func_def_12,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_13,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_18,type,
sK0:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_19,type,
sK1:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_20,type,
sK2:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_21,type,
sK3:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_22,type,
sK4:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_23,type,
vNOT: $o > $o ).
thf(func_def_24,type,
sK5:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_25,type,
sK6:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_26,type,
sK7:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_27,type,
sK8:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_28,type,
sK9:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_29,type,
sK10:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_30,type,
sK11:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_31,type,
sK12:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_32,type,
sK13:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_33,type,
sK14:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_34,type,
sK15:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_35,type,
sK16:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_36,type,
sK17:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_37,type,
sK18:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_38,type,
sK19:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_39,type,
sK20:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_40,type,
sK21:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_41,type,
sK22:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_42,type,
sK23:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_43,type,
sK24:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(f2,axiom,
! [X0: a,X1: a] :
( ( f @ X0 @ X1 )
= ( f @ X1 @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_commute) ).
thf(f3,axiom,
! [X0: a,X1: a,X2: a] :
( ( f @ X0 @ ( f @ X1 @ X2 ) )
= ( f @ X1 @ ( f @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_left__commute) ).
thf(f4,axiom,
! [X0: a,X1: a,X2: a] :
( ( f @ ( f @ X0 @ X1 ) @ X2 )
= ( f @ X0 @ ( f @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_right__assoc) ).
thf(f13,conjecture,
( ( f @ ( f @ a2 @ b ) @ c )
= ( f @ ( f @ a2 @ c ) @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f14,negated_conjecture,
( ( f @ ( f @ a2 @ b ) @ c )
!= ( f @ ( f @ a2 @ c ) @ b ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
thf(f31,plain,
( ( f @ ( f @ a2 @ b ) @ c )
!= ( f @ ( f @ a2 @ c ) @ b ) ),
inference(flattening,[],[f14]) ).
thf(f41,plain,
! [X0: a,X1: a] :
( ( f @ X0 @ X1 )
= ( f @ X1 @ X0 ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f42,plain,
! [X2: a,X0: a,X1: a] :
( ( f @ X0 @ ( f @ X1 @ X2 ) )
= ( f @ X1 @ ( f @ X0 @ X2 ) ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f43,plain,
! [X2: a,X0: a,X1: a] :
( ( f @ X0 @ ( f @ X1 @ X2 ) )
= ( f @ ( f @ X0 @ X1 ) @ X2 ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f52,plain,
( ( f @ ( f @ a2 @ b ) @ c )
!= ( f @ ( f @ a2 @ c ) @ b ) ),
inference(cnf_transformation,[],[f31]) ).
thf(f147,plain,
( ( f @ ( f @ a2 @ b ) @ c )
!= ( f @ b @ ( f @ a2 @ c ) ) ),
inference(constrained_superposition,[],[f52,f41]) ).
thf(f148,plain,
( ( f @ ( f @ a2 @ b ) @ c )
!= ( f @ a2 @ ( f @ b @ c ) ) ),
inference(forward_demodulation,[],[f147,f42]) ).
thf(f150,plain,
$false,
inference(forward_subsumption_resolution,[],[f148,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP209^2 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 20:13:28 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 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
% 0.08/0.16 % (631127)Will run a generic schedule for satisfiability detection.
% 0.08/0.16 % (631133)% WARNING: option uhcvi not known.
% 0.08/0.16 % (631135)dis+10_1_sil=32000:sp=arity:random_seed=1818770599:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.16 % (631137)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2848485100:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.16 % (631132)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1595476061_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.16 % (631136)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3880105800:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.16 % (631134)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=753753510:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.16 % (631133)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3243798027:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.16 % (631138)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2005797899:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.16 % (631133)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.16 % (631136)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.16 % Exception at run slice level
% 0.08/0.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.16 % (631133)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.16 % (631136) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-631127-631136"...
% 0.08/0.16 % (631137) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-631127-631137"...
% 0.08/0.16 % (631138) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-631127-631138"...
% 0.08/0.16 % (631134) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-631127-631134"...
% 0.08/0.16 % (631133) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-631127-631133"...
% 0.08/0.16 % (631137)...printing done.
% 0.08/0.16 % (631136)...printing done.
% 0.08/0.16 % (631137)Refutation found. Thanks to Tanya!
% 0.08/0.16 % SZS status Theorem for theBenchmark
% 0.08/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.16 % (631137)------------------------------
% 0.08/0.16 % (631137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.16 % (631137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.16 % (631137)CaDiCaL version: 2.1.3
% 0.08/0.16 % (631137)Termination reason: Refutation
% 0.08/0.16 % (631137)Time elapsed: 0.003 s
% 0.08/0.16 % (631137)Peak memory usage: 11 MB
% 0.08/0.16 % (631137)Instructions burned: 10 (million)
% 0.08/0.16 % (631127)Success in time 0.028 s
% 0.08/0.16 % Vampire exiting
%------------------------------------------------------------------------------