TSTP Solution File: NUM341+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM341+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n027.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 18:04:05 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 55 ( 20 ~; 18 |; 12 &)
% ( 4 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 42 ( 33 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_12,type,
sQ1_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_13,type,
sQ2_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_14,type,
sQ3_eqProxy: ( $real * $real ) > $o ).
fof(f1359,plain,
$false,
inference(sat_instgen_refutation,[],[f725,f808,f807,f724]) ).
fof(f724,plain,
! [X2,X0,X1] :
( difference(X2,X0,X1)
| sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f494]) ).
fof(f494,plain,
! [X0,X1,X2] :
( ( ~ difference(X2,X0,X1)
| ~ difference(X2,X1,X0)
| ~ sum(X0,X1,X2) )
& ( ( difference(X2,X0,X1)
& difference(X2,X1,X0) )
| sum(X0,X1,X2) ) ),
inference(rectify,[],[f493]) ).
fof(f493,plain,
! [X2,X1,X0] :
( ( ~ difference(X0,X2,X1)
| ~ difference(X0,X1,X2)
| ~ sum(X2,X1,X0) )
& ( ( difference(X0,X2,X1)
& difference(X0,X1,X2) )
| sum(X2,X1,X0) ) ),
inference(flattening,[],[f492]) ).
fof(f492,plain,
! [X2,X1,X0] :
( ( ~ difference(X0,X2,X1)
| ~ difference(X0,X1,X2)
| ~ sum(X2,X1,X0) )
& ( ( difference(X0,X2,X1)
& difference(X0,X1,X2) )
| sum(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f441]) ).
fof(f441,plain,
! [X2,X1,X0] :
( sum(X2,X1,X0)
<~> ( difference(X0,X2,X1)
& difference(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f424]) ).
fof(f424,plain,
~ ? [X1,X2,X0] :
( ( difference(X0,X2,X1)
& difference(X0,X1,X2) )
<=> sum(X2,X1,X0) ),
inference(rectify,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X2,X1,X0] :
( sum(X0,X1,X2)
<=> ( difference(X2,X1,X0)
& difference(X2,X0,X1) ) ),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X2,X1,X0] :
( sum(X0,X1,X2)
<=> ( difference(X2,X1,X0)
& difference(X2,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_same_as_subtract) ).
fof(f807,plain,
! [X2,X0,X1] :
( ~ difference(X2,X1,X0)
| sum(X1,X0,X2) ),
inference(cnf_transformation,[],[f499]) ).
fof(f499,plain,
! [X0,X1,X2] :
( ( difference(X2,X1,X0)
| ~ sum(X1,X0,X2) )
& ( sum(X1,X0,X2)
| ~ difference(X2,X1,X0) ) ),
inference(rectify,[],[f498]) ).
fof(f498,plain,
! [X2,X1,X0] :
( ( difference(X0,X1,X2)
| ~ sum(X1,X2,X0) )
& ( sum(X1,X2,X0)
| ~ difference(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f296]) ).
fof(f296,axiom,
! [X2,X1,X0] :
( difference(X0,X1,X2)
<=> sum(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minus_entry_point) ).
fof(f808,plain,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| difference(X2,X1,X0) ),
inference(cnf_transformation,[],[f499]) ).
fof(f725,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ difference(X2,X0,X1)
| ~ difference(X2,X1,X0) ),
inference(cnf_transformation,[],[f494]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM341+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 06:39:01 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.51 % (20251)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)
% 0.20/0.51 % (20242)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (20229)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)
% 0.20/0.52 % (20243)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)
% 0.20/0.53 % (20240)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)
% 0.20/0.53 % (20241)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (20252)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (20233)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (20230)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)
% 0.20/0.53 % (20244)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54 % (20243)First to succeed.
% 0.20/0.54 % (20232)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)
% 0.20/0.54 % (20236)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (20231)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)
% 0.20/0.54 % (20255)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)
% 0.20/0.54 % (20242)Also succeeded, but the first one will report.
% 0.20/0.55 % (20235)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)
% 0.20/0.55 % (20247)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (20234)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.55 % (20243)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (20243)------------------------------
% 0.20/0.55 % (20243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (20243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (20243)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (20243)Memory used [KB]: 6524
% 0.20/0.55 % (20243)Time elapsed: 0.010 s
% 0.20/0.55 % (20243)Instructions burned: 17 (million)
% 0.20/0.55 % (20243)------------------------------
% 0.20/0.55 % (20243)------------------------------
% 0.20/0.55 % (20228)Success in time 0.196 s
%------------------------------------------------------------------------------