TSTP Solution File: SYO526^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO526^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:13:34 EDT 2024
% Result : Theorem 0.11s 0.32s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 30 ( 16 unt; 12 typ; 0 def)
% Number of atoms : 59 ( 15 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 7 ( 5 ~; 0 |; 0 &; 0 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 19 >; 1 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-6 aty)
% Number of variables : 9 ( 3 ^ 0 !; 0 ?; 9 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
a: $o ).
thf(func_def_1,type,
b: $o ).
thf(func_def_2,type,
f: $i > $o ).
thf(func_def_3,type,
g: $i > $o ).
thf(func_def_6,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_9,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_10,type,
vAND: $o > $o > $o ).
thf(func_def_11,type,
vOR: $o > $o > $o ).
thf(func_def_12,type,
vIMP: $o > $o > $o ).
thf(func_def_13,type,
vNOT: $o > $o ).
thf(func_def_14,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f20,plain,
$false,
inference(trivial_inequality_removal,[],[f19]) ).
thf(f19,plain,
vAPP($o,sTfun($i,$o),kCOMB,b) != vAPP($o,sTfun($i,$o),kCOMB,b),
inference(definition_unfolding,[],[f13,f18]) ).
thf(f18,plain,
g = vAPP($o,sTfun($i,$o),kCOMB,b),
inference(definition_unfolding,[],[f14,f17]) ).
thf(f17,plain,
f = vAPP($o,sTfun($i,$o),kCOMB,b),
inference(definition_unfolding,[],[f15,f16]) ).
thf(f16,plain,
a = b,
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
a = b,
inference(fool_elimination,[],[f10]) ).
thf(f10,plain,
( a
<=> b ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( a
<=> b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab) ).
thf(f15,plain,
f = vAPP($o,sTfun($i,$o),kCOMB,a),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
f = vAPP($o,sTfun($i,$o),kCOMB,a),
inference(fool_elimination,[],[f3]) ).
thf(f3,axiom,
( f
= ( ^ [X0: $i] : a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fa) ).
thf(f14,plain,
f = g,
inference(cnf_transformation,[],[f2]) ).
thf(f2,axiom,
f = g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fg) ).
thf(f13,plain,
g != vAPP($o,sTfun($i,$o),kCOMB,b),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
g != vAPP($o,sTfun($i,$o),kCOMB,b),
inference(flattening,[],[f8]) ).
thf(f8,plain,
g != vAPP($o,sTfun($i,$o),kCOMB,b),
inference(fool_elimination,[],[f5]) ).
thf(f5,negated_conjecture,
( g
!= ( ^ [X0: $i] : b ) ),
inference(negated_conjecture,[],[f4]) ).
thf(f4,conjecture,
( g
= ( ^ [X0: $i] : b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gb) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYO526^1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon May 20 09:28:37 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.11/0.31 % (10380)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.32 % (10384)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.32 % Exception at run slice level
% 0.11/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.32 % (10382)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.32 % Exception at run slice level
% 0.11/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.32 % (10383)WARNING: value z3 for option sas not known
% 0.11/0.32 % (10385)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.32 % (10381)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.32 % (10383)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.32 % (10385)First to succeed.
% 0.11/0.32 % Exception at run slice level
% 0.11/0.32 User error: % (10385)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10380"
% 0.11/0.32 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.32 % (10385)Refutation found. Thanks to Tanya!
% 0.11/0.32 % SZS status Theorem for theBenchmark
% 0.11/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.32 % (10385)------------------------------
% 0.11/0.32 % (10385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.32 % (10385)Termination reason: Refutation
% 0.11/0.32
% 0.11/0.32 % (10385)Memory used [KB]: 735
% 0.11/0.32 % (10385)Time elapsed: 0.003 s
% 0.11/0.32 % (10385)Instructions burned: 2 (million)
% 0.11/0.32 % (10380)Success in time 0.011 s
%------------------------------------------------------------------------------