TSTP Solution File: LCL893+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL893+1 : TPTP v8.1.0. Released v5.5.0.
% 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 : n017.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 17:50:17 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 17 unt; 0 def)
% Number of atoms : 62 ( 31 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 20 ~; 12 |; 8 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f249,plain,
$false,
inference(trivial_inequality_removal,[],[f245]) ).
fof(f245,plain,
'0' != '0',
inference(backward_demodulation,[],[f54,f243]) ).
fof(f243,plain,
'0' = sK0,
inference(backward_demodulation,[],[f69,f239]) ).
fof(f239,plain,
! [X10] : '0' = '==>'(X10,X10),
inference(forward_demodulation,[],[f226,f46]) ).
fof(f46,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f226,plain,
! [X10] : '0' = '==>'(X10,'+'(X10,'0')),
inference(resolution,[],[f103,f73]) ).
fof(f73,plain,
! [X1] :
( ~ '>='('0',X1)
| '0' = X1 ),
inference(resolution,[],[f59,f58]) ).
fof(f58,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
fof(f59,plain,
! [X0,X1] :
( ~ '>='(X1,X0)
| ~ '>='(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ '>='(X1,X0)
| ~ '>='(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( ( '>='(X0,X1)
& '>='(X1,X0) )
=> X0 = X1 ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X7,X6] :
( ( '>='(X6,X7)
& '>='(X7,X6) )
=> X6 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f103,plain,
! [X3,X4] : '>='(X3,'==>'(X4,'+'(X4,X3))),
inference(resolution,[],[f51,f48]) ).
fof(f48,plain,
! [X0] : '>='(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] : '>='(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,X2),X1)
| '>='(X2,'==>'(X0,X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( '>='('+'(X0,X2),X1)
| ~ '>='(X2,'==>'(X0,X1)) )
& ( '>='(X2,'==>'(X0,X1))
| ~ '>='('+'(X0,X2),X1) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ( '>='('+'(X2,X1),X0)
| ~ '>='(X1,'==>'(X2,X0)) )
& ( '>='(X1,'==>'(X2,X0))
| ~ '>='('+'(X2,X1),X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X2,X0,X1] :
( '>='('+'(X2,X1),X0)
<=> '>='(X1,'==>'(X2,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X10,X9,X8] :
( '>='(X9,'==>'(X8,X10))
<=> '>='('+'(X8,X9),X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f69,plain,
sK0 = '==>'(sK0,sK0),
inference(superposition,[],[f55,f53]) ).
fof(f53,plain,
h(sK0) = sK0,
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( '0' != sK0
& h(sK0) = sK0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f41]) ).
fof(f41,plain,
( ? [X0] :
( '0' != X0
& h(X0) = X0 )
=> ( '0' != sK0
& h(sK0) = sK0 ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0] :
( '0' != X0
& h(X0) = X0 ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X0] :
( h(X0) = X0
=> '0' = X0 ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X20] :
( h(X20) = X20
=> '0' = X20 ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X20] :
( h(X20) = X20
=> '0' = X20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f55,plain,
! [X0] : h(X0) = '==>'(h(X0),X0),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] : h(X0) = '==>'(h(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(f54,plain,
'0' != sK0,
inference(cnf_transformation,[],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL893+1 : TPTP v8.1.0. Released v5.5.0.
% 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 : n017.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 02:21:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (31383)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.50 % (31356)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)
% 0.19/0.51 % (31367)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (31362)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (31362)Instruction limit reached!
% 0.19/0.51 % (31362)------------------------------
% 0.19/0.51 % (31362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (31362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31362)Termination reason: Unknown
% 0.19/0.51 % (31362)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (31362)Memory used [KB]: 5373
% 0.19/0.51 % (31362)Time elapsed: 0.119 s
% 0.19/0.51 % (31362)Instructions burned: 3 (million)
% 0.19/0.51 % (31362)------------------------------
% 0.19/0.51 % (31362)------------------------------
% 0.19/0.52 % (31355)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)
% 0.19/0.52 % (31383)First to succeed.
% 0.19/0.52 % (31363)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)
% 0.19/0.53 % (31359)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)
% 0.19/0.53 % (31354)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (31364)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (31357)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)
% 0.19/0.53 % (31374)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53 % (31361)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (31358)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (31373)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (31366)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (31361)Instruction limit reached!
% 0.19/0.53 % (31361)------------------------------
% 0.19/0.53 % (31361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (31361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (31361)Termination reason: Unknown
% 0.19/0.53 % (31361)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (31361)Memory used [KB]: 5500
% 0.19/0.53 % (31361)Time elapsed: 0.140 s
% 0.19/0.53 % (31361)Instructions burned: 9 (million)
% 0.19/0.53 % (31361)------------------------------
% 0.19/0.53 % (31361)------------------------------
% 0.19/0.54 % (31356)Instruction limit reached!
% 0.19/0.54 % (31356)------------------------------
% 0.19/0.54 % (31356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (31375)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (31370)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)
% 0.19/0.54 % (31372)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (31378)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (31383)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (31383)------------------------------
% 0.19/0.54 % (31383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (31383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (31383)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (31383)Memory used [KB]: 5500
% 0.19/0.54 % (31383)Time elapsed: 0.120 s
% 0.19/0.54 % (31383)Instructions burned: 7 (million)
% 0.19/0.54 % (31383)------------------------------
% 0.19/0.54 % (31383)------------------------------
% 0.19/0.54 % (31353)Success in time 0.187 s
%------------------------------------------------------------------------------