TSTP Solution File: ALG039+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG039+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n009.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 : Wed Aug 31 15:42:16 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 58 ( 3 unt; 3 typ; 0 def)
% Number of atoms : 328 ( 239 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 387 ( 114 ~; 139 |; 133 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_5,type,
sQ4_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_6,type,
sQ5_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_7,type,
sQ6_eqProxy: ( $real * $real ) > $o ).
fof(f438,plain,
$false,
inference(sat_instgen_refutation,[],[f319,f350,f332,f352,f370,f328,f396,f347,f411,f403,f300,f377,f376,f389,f295,f364,f404,f412,f330,f398]) ).
fof(f398,plain,
( sP2
| sQ3_eqProxy(e3,op(e1,e1))
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f38,f285]) ).
fof(f285,plain,
! [X0,X1] :
( sQ3_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
fof(f38,plain,
( sP0
| e3 = op(e1,e1)
| sP1
| sP2 ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( ( e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3)
& op(e0,e0) = e3 )
| sP2
| sP1
| sP0 )
& ( e1 != op(e1,e1)
| op(e0,e0) != e1
| e1 != op(e3,e3)
| e1 != op(e2,e2) )
& ( e0 != op(e3,e3)
| e0 != op(e1,e1)
| e0 != op(e2,e2)
| e0 != op(e0,e0) )
& ( op(e0,e0) != e3
| e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1) )
& ( e2 != op(e1,e1)
| e2 != op(e2,e2)
| e2 != op(e3,e3)
| op(e0,e0) != e2 ) ),
inference(definition_folding,[],[f11,f14,f13,f12]) ).
fof(f12,plain,
( ( op(e0,e0) = e2
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e3,e3) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f13,plain,
( ( e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e2,e2)
& op(e0,e0) = e1 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f14,plain,
( ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
( ( ( e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e2,e2)
& op(e0,e0) = e1 )
| ( op(e0,e0) = e2
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e3,e3) ) )
& ( e1 != op(e1,e1)
| op(e0,e0) != e1
| e1 != op(e3,e3)
| e1 != op(e2,e2) )
& ( e0 != op(e3,e3)
| e0 != op(e1,e1)
| e0 != op(e2,e2)
| e0 != op(e0,e0) )
& ( op(e0,e0) != e3
| e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1) )
& ( e2 != op(e1,e1)
| e2 != op(e2,e2)
| e2 != op(e3,e3)
| op(e0,e0) != e2 ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
( ( e2 != op(e1,e1)
| e2 != op(e2,e2)
| e2 != op(e3,e3)
| op(e0,e0) != e2 )
& ( op(e0,e0) != e3
| e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1) )
& ( e0 != op(e3,e3)
| e0 != op(e1,e1)
| e0 != op(e2,e2)
| e0 != op(e0,e0) )
& ( e1 != op(e1,e1)
| op(e0,e0) != e1
| e1 != op(e3,e3)
| e1 != op(e2,e2) )
& ( ( e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e2,e2)
& op(e0,e0) = e1 )
| ( op(e0,e0) = e2
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e3,e3) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
( ~ ( ( e2 = op(e2,e2)
& op(e0,e0) = e2
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ( op(e0,e0) = e3
& e3 = op(e1,e1)
& e3 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e0 = op(e0,e0)
& e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2) )
| ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 ) )
& ( ( e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e2,e2)
& op(e0,e0) = e1 )
| ( op(e0,e0) = e2
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e3,e3) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ~ ( ( e2 = op(e2,e2)
& op(e0,e0) = e2
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ( op(e0,e0) = e3
& e3 = op(e1,e1)
& e3 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e0 = op(e0,e0)
& e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2) )
| ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 ) )
& ( ( e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e2,e2)
& op(e0,e0) = e1 )
| ( op(e0,e0) = e2
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e3,e3) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ~ ( ( e2 = op(e2,e2)
& op(e0,e0) = e2
& e2 = op(e3,e3)
& e2 = op(e1,e1) )
| ( op(e0,e0) = e3
& e3 = op(e1,e1)
& e3 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e0 = op(e0,e0)
& e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2) )
| ( e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e3,e3)
& op(e0,e0) = e1 ) )
& ( ( e3 = op(e1,e1)
& e3 = op(e2,e2)
& e3 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e2,e2)
& op(e0,e0) = e1 )
| ( op(e0,e0) = e2
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e3,e3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f330,plain,
( sQ3_eqProxy(e2,op(e2,e2))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f29,f285]) ).
fof(f29,plain,
( ~ sP0
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( op(e0,e0) = e2
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e3,e3) )
| ~ sP0 ),
inference(nnf_transformation,[],[f12]) ).
fof(f412,plain,
( sQ3_eqProxy(e1,op(e3,e3))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f26,f285]) ).
fof(f26,plain,
( ~ sP1
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e1 = op(e3,e3)
& e1 = op(e1,e1)
& e1 = op(e2,e2)
& op(e0,e0) = e1 )
| ~ sP1 ),
inference(nnf_transformation,[],[f13]) ).
fof(f404,plain,
( sQ3_eqProxy(e1,op(e2,e2))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f24,f285]) ).
fof(f24,plain,
( ~ sP1
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f364,plain,
( sP1
| sQ3_eqProxy(op(e0,e0),e3)
| sP0
| sP2 ),
inference(equality_proxy_replacement,[],[f35,f285]) ).
fof(f35,plain,
( op(e0,e0) = e3
| sP1
| sP0
| sP2 ),
inference(cnf_transformation,[],[f15]) ).
fof(f295,plain,
( sP1
| sP2
| sQ3_eqProxy(e3,op(e2,e2))
| sP0 ),
inference(equality_proxy_replacement,[],[f37,f285]) ).
fof(f37,plain,
( e3 = op(e2,e2)
| sP0
| sP2
| sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f389,plain,
( sQ3_eqProxy(e2,op(e1,e1))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f28,f285]) ).
fof(f28,plain,
( e2 = op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f376,plain,
( ~ sQ3_eqProxy(e2,op(e2,e2))
| ~ sQ3_eqProxy(op(e0,e0),e2)
| ~ sQ3_eqProxy(e2,op(e1,e1))
| ~ sQ3_eqProxy(e2,op(e3,e3)) ),
inference(equality_proxy_replacement,[],[f31,f285,f285,f285,f285]) ).
fof(f31,plain,
( e2 != op(e1,e1)
| op(e0,e0) != e2
| e2 != op(e2,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f377,plain,
( sQ3_eqProxy(e3,op(e3,e3))
| sP1
| sP2
| sP0 ),
inference(equality_proxy_replacement,[],[f36,f285]) ).
fof(f36,plain,
( sP0
| sP1
| sP2
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f300,plain,
( ~ sP1
| sQ3_eqProxy(op(e0,e0),e1) ),
inference(equality_proxy_replacement,[],[f23,f285]) ).
fof(f23,plain,
( ~ sP1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f403,plain,
( sQ3_eqProxy(e2,op(e3,e3))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f27,f285]) ).
fof(f27,plain,
( ~ sP0
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f18]) ).
fof(f411,plain,
( sQ3_eqProxy(e0,op(e0,e0))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f19,f285]) ).
fof(f19,plain,
( e0 = op(e0,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ~ sP2 ),
inference(nnf_transformation,[],[f14]) ).
fof(f347,plain,
( sQ3_eqProxy(e0,op(e2,e2))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f20,f285]) ).
fof(f20,plain,
( e0 = op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f396,plain,
( ~ sP2
| sQ3_eqProxy(e0,op(e3,e3)) ),
inference(equality_proxy_replacement,[],[f21,f285]) ).
fof(f21,plain,
( e0 = op(e3,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f328,plain,
( sQ3_eqProxy(e1,op(e1,e1))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f25,f285]) ).
fof(f25,plain,
( e1 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f370,plain,
( ~ sQ3_eqProxy(e1,op(e2,e2))
| ~ sQ3_eqProxy(e1,op(e1,e1))
| ~ sQ3_eqProxy(op(e0,e0),e1)
| ~ sQ3_eqProxy(e1,op(e3,e3)) ),
inference(equality_proxy_replacement,[],[f34,f285,f285,f285,f285]) ).
fof(f34,plain,
( e1 != op(e1,e1)
| op(e0,e0) != e1
| e1 != op(e3,e3)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f352,plain,
( sQ3_eqProxy(op(e0,e0),e2)
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f30,f285]) ).
fof(f30,plain,
( ~ sP0
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f18]) ).
fof(f332,plain,
( ~ sQ3_eqProxy(e0,op(e3,e3))
| ~ sQ3_eqProxy(e0,op(e2,e2))
| ~ sQ3_eqProxy(e0,op(e0,e0))
| ~ sQ3_eqProxy(e0,op(e1,e1)) ),
inference(equality_proxy_replacement,[],[f33,f285,f285,f285,f285]) ).
fof(f33,plain,
( e0 != op(e1,e1)
| e0 != op(e3,e3)
| e0 != op(e0,e0)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f350,plain,
sQ3_eqProxy(e0,op(e1,e1)),
inference(equality_proxy_replacement,[],[f141,f285]) ).
fof(f141,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e2 = op(e3,e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f319,plain,
( ~ sQ3_eqProxy(e3,op(e3,e3))
| ~ sQ3_eqProxy(e3,op(e2,e2))
| ~ sQ3_eqProxy(e3,op(e1,e1))
| ~ sQ3_eqProxy(op(e0,e0),e3) ),
inference(equality_proxy_replacement,[],[f32,f285,f285,f285,f285]) ).
fof(f32,plain,
( e3 != op(e1,e1)
| e3 != op(e3,e3)
| op(e0,e0) != e3
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG039+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 14:48:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (13164)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.49 % (13162)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.49 % (13149)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (13148)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (13154)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.50 % (13152)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50 % (13148)Instruction limit reached!
% 0.18/0.50 % (13148)------------------------------
% 0.18/0.50 % (13148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (13148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (13148)Termination reason: Unknown
% 0.18/0.50 % (13148)Termination phase: Property scanning
% 0.18/0.50
% 0.18/0.50 % (13148)Memory used [KB]: 895
% 0.18/0.50 % (13148)Time elapsed: 0.003 s
% 0.18/0.50 % (13148)Instructions burned: 3 (million)
% 0.18/0.50 % (13148)------------------------------
% 0.18/0.50 % (13148)------------------------------
% 0.18/0.51 % (13154)First to succeed.
% 0.18/0.51 % (13141)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (13156)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51 % (13146)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (13142)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52 % (13161)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.52 % (13140)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.52 % (13144)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (13143)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (13150)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (13147)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52 % (13168)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52 % (13151)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52 % (13162)Also succeeded, but the first one will report.
% 0.18/0.52 % (13154)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (13154)------------------------------
% 0.18/0.52 % (13154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (13154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (13154)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (13154)Memory used [KB]: 5884
% 0.18/0.52 % (13154)Time elapsed: 0.009 s
% 0.18/0.52 % (13154)Instructions burned: 6 (million)
% 0.18/0.52 % (13154)------------------------------
% 0.18/0.52 % (13154)------------------------------
% 0.18/0.52 % (13139)Success in time 0.187 s
%------------------------------------------------------------------------------