TSTP Solution File: LCL109-5 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL109-5 : TPTP v8.1.0. Released v1.0.0.
% 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 : n022.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 17:46:54 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 20 unt; 0 def)
% Number of atoms : 40 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f208,plain,
$false,
inference(subsumption_resolution,[],[f199,f166]) ).
fof(f166,plain,
! [X1] : truth = implies(truth,X1),
inference(resolution,[],[f162,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ ordered(X0,X1)
| truth = implies(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partial_order_definition1) ).
fof(f162,plain,
! [X0] : ordered(truth,X0),
inference(resolution,[],[f152,f89]) ).
fof(f89,plain,
! [X1] :
( ~ ordered(X1,truth)
| ordered(truth,X1) ),
inference(superposition,[],[f29,f33]) ).
fof(f33,plain,
! [X0] : truth = implies(X0,X0),
inference(resolution,[],[f32,f7]) ).
fof(f32,plain,
! [X0] : ordered(X0,X0),
inference(subsumption_resolution,[],[f31,f25]) ).
fof(f25,plain,
ordered(truth,truth),
inference(equality_resolution,[],[f24]) ).
fof(f24,plain,
! [X0] :
( truth != X0
| ordered(truth,X0) ),
inference(superposition,[],[f8,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f8,axiom,
! [X0,X1] :
( truth != implies(X0,X1)
| ordered(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partial_order_definition2) ).
fof(f31,plain,
! [X0] :
( ~ ordered(truth,truth)
| ordered(X0,X0) ),
inference(superposition,[],[f28,f1]) ).
fof(f28,plain,
! [X0,X1] :
( ordered(X0,implies(X1,X0))
| ~ ordered(truth,X1) ),
inference(superposition,[],[f9,f1]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ordered(implies(X0,X2),implies(X1,X2))
| ~ ordered(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1) ).
fof(f29,plain,
! [X0,X1] :
( ordered(implies(X1,X0),X0)
| ~ ordered(X1,truth) ),
inference(superposition,[],[f9,f1]) ).
fof(f152,plain,
! [X2] : ordered(X2,truth),
inference(trivial_inequality_removal,[],[f145]) ).
fof(f145,plain,
! [X2] :
( truth != truth
| ordered(X2,truth) ),
inference(superposition,[],[f8,f114]) ).
fof(f114,plain,
! [X1] : truth = implies(X1,truth),
inference(superposition,[],[f99,f1]) ).
fof(f99,plain,
! [X1] : truth = implies(truth,implies(X1,truth)),
inference(resolution,[],[f94,f7]) ).
fof(f94,plain,
! [X0] : ordered(truth,implies(X0,truth)),
inference(resolution,[],[f89,f68]) ).
fof(f68,plain,
! [X9] : ordered(implies(X9,truth),truth),
inference(trivial_inequality_removal,[],[f67]) ).
fof(f67,plain,
! [X9] :
( truth != truth
| ordered(implies(X9,truth),truth) ),
inference(superposition,[],[f8,f50]) ).
fof(f50,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(forward_demodulation,[],[f40,f33]) ).
fof(f40,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f199,plain,
truth != implies(truth,implies(y,x)),
inference(backward_demodulation,[],[f21,f169]) ).
fof(f169,plain,
! [X0] : truth = X0,
inference(superposition,[],[f1,f166]) ).
fof(f21,plain,
truth != implies(implies(implies(x,y),implies(y,x)),implies(y,x)),
inference(definition_unfolding,[],[f17,f5]) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',big_V_definition) ).
fof(f17,axiom,
truth != big_V(implies(x,y),implies(y,x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL109-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 02:24:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (1497)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)
% 0.19/0.49 % (1495)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (1505)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 % (1492)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 TRYING [2]
% 0.19/0.51 % (1490)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 % (1493)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)
% 0.19/0.51 % (1491)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)
% 0.19/0.51 % (1513)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (1488)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)
% 0.19/0.51 TRYING [3]
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.52 % (1489)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 % (1510)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)
% 0.19/0.52 % (1495)Instruction limit reached!
% 0.19/0.52 % (1495)------------------------------
% 0.19/0.52 % (1495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1495)Termination reason: Unknown
% 0.19/0.52 % (1495)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (1495)Memory used [KB]: 5500
% 0.19/0.52 % (1495)Time elapsed: 0.098 s
% 0.19/0.52 % (1495)Instructions burned: 7 (million)
% 0.19/0.52 % (1495)------------------------------
% 0.19/0.52 % (1495)------------------------------
% 0.19/0.52 % (1500)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (1516)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (1511)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)
% 0.19/0.52 % (1503)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)
% 0.19/0.52 % (1514)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)
% 0.19/0.52 % (1496)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (1517)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)
% 0.19/0.52 % (1515)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 % (1496)Instruction limit reached!
% 0.19/0.52 % (1496)------------------------------
% 0.19/0.52 % (1496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1496)Termination reason: Unknown
% 0.19/0.53 % (1496)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (1496)Memory used [KB]: 5373
% 0.19/0.53 % (1496)Time elapsed: 0.128 s
% 0.19/0.53 % (1496)Instructions burned: 2 (million)
% 0.19/0.53 % (1496)------------------------------
% 0.19/0.53 % (1496)------------------------------
% 0.19/0.53 % (1494)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)
% 0.19/0.53 % (1508)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 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (1506)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (1502)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)
% 0.19/0.53 % (1508)First to succeed.
% 0.19/0.53 % (1507)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 % (1508)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (1508)------------------------------
% 0.19/0.53 % (1508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1508)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (1508)Memory used [KB]: 5500
% 0.19/0.53 % (1508)Time elapsed: 0.147 s
% 0.19/0.53 % (1508)Instructions burned: 8 (million)
% 0.19/0.53 % (1508)------------------------------
% 0.19/0.53 % (1508)------------------------------
% 0.19/0.53 % (1487)Success in time 0.184 s
%------------------------------------------------------------------------------