TSTP Solution File: KLE148+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE148+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n006.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 17:29:17 EDT 2022
% Result : Theorem 2.36s 0.68s
% Output : Refutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 65 ( 55 unt; 3 typ; 0 def)
% Number of atoms : 71 ( 70 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 0 |; 5 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 83 ( 77 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_3,type,
sQ3_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_4,type,
sQ4_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_5,type,
sQ5_eqProxy: ( $real * $real ) > $o ).
fof(f911,plain,
$false,
inference(subsumption_resolution,[],[f910,f78]) ).
fof(f78,plain,
multiplication(sK1,strong_iteration(sK0)) != sK1,
inference(literal_reordering,[],[f48]) ).
fof(f48,plain,
multiplication(sK1,strong_iteration(sK0)) != sK1,
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( zero = multiplication(sK1,sK0)
& multiplication(sK1,strong_iteration(sK0)) != sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f33,f34]) ).
fof(f34,plain,
( ? [X0,X1] :
( zero = multiplication(X1,X0)
& multiplication(X1,strong_iteration(X0)) != X1 )
=> ( zero = multiplication(sK1,sK0)
& multiplication(sK1,strong_iteration(sK0)) != sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0,X1] :
( zero = multiplication(X1,X0)
& multiplication(X1,strong_iteration(X0)) != X1 ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
? [X1,X0] :
( zero = multiplication(X0,X1)
& multiplication(X0,strong_iteration(X1)) != X0 ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X1,X0] :
( zero = multiplication(X0,X1)
=> multiplication(X0,strong_iteration(X1)) = X0 ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3,X4] :
( zero = multiplication(X3,X4)
=> multiplication(X3,strong_iteration(X4)) = X3 ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3,X4] :
( zero = multiplication(X3,X4)
=> multiplication(X3,strong_iteration(X4)) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f910,plain,
multiplication(sK1,strong_iteration(sK0)) = sK1,
inference(forward_demodulation,[],[f894,f411]) ).
fof(f411,plain,
! [X0] : multiplication(X0,star(zero)) = X0,
inference(backward_demodulation,[],[f380,f408]) ).
fof(f408,plain,
strong_iteration(zero) = star(zero),
inference(forward_demodulation,[],[f398,f65]) ).
fof(f65,plain,
! [X0] : addition(X0,zero) = X0,
inference(literal_reordering,[],[f44]) ).
fof(f44,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f398,plain,
strong_iteration(zero) = addition(star(zero),zero),
inference(superposition,[],[f67,f381]) ).
fof(f381,plain,
! [X0] : multiplication(strong_iteration(zero),X0) = X0,
inference(backward_demodulation,[],[f69,f373]) ).
fof(f373,plain,
one = strong_iteration(zero),
inference(superposition,[],[f150,f136]) ).
fof(f136,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f71,f65]) ).
fof(f71,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(literal_reordering,[],[f51]) ).
fof(f51,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f150,plain,
addition(zero,one) = strong_iteration(zero),
inference(superposition,[],[f79,f76]) ).
fof(f76,plain,
! [X0] : zero = multiplication(zero,X0),
inference(literal_reordering,[],[f45]) ).
fof(f45,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f79,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(literal_reordering,[],[f55]) ).
fof(f55,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infty_unfold1) ).
fof(f69,plain,
! [X0] : multiplication(one,X0) = X0,
inference(literal_reordering,[],[f47]) ).
fof(f47,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f67,plain,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
inference(literal_reordering,[],[f56]) ).
fof(f56,plain,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isolation) ).
fof(f380,plain,
! [X0] : multiplication(X0,strong_iteration(zero)) = X0,
inference(backward_demodulation,[],[f74,f373]) ).
fof(f74,plain,
! [X0] : multiplication(X0,one) = X0,
inference(literal_reordering,[],[f53]) ).
fof(f53,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f894,plain,
multiplication(sK1,strong_iteration(sK0)) = multiplication(sK1,star(zero)),
inference(superposition,[],[f250,f477]) ).
fof(f477,plain,
! [X1] : strong_iteration(X1) = addition(star(zero),multiplication(X1,strong_iteration(X1))),
inference(superposition,[],[f460,f71]) ).
fof(f460,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),star(zero)),
inference(forward_demodulation,[],[f378,f408]) ).
fof(f378,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),strong_iteration(zero)),
inference(backward_demodulation,[],[f79,f373]) ).
fof(f250,plain,
! [X11,X12] : multiplication(sK1,addition(X12,multiplication(sK0,X11))) = multiplication(sK1,X12),
inference(forward_demodulation,[],[f229,f65]) ).
fof(f229,plain,
! [X11,X12] : addition(multiplication(sK1,X12),zero) = multiplication(sK1,addition(X12,multiplication(sK0,X11))),
inference(superposition,[],[f70,f176]) ).
fof(f176,plain,
! [X10] : zero = multiplication(sK1,multiplication(sK0,X10)),
inference(forward_demodulation,[],[f169,f76]) ).
fof(f169,plain,
! [X10] : multiplication(zero,X10) = multiplication(sK1,multiplication(sK0,X10)),
inference(superposition,[],[f66,f75]) ).
fof(f75,plain,
zero = multiplication(sK1,sK0),
inference(literal_reordering,[],[f49]) ).
fof(f49,plain,
zero = multiplication(sK1,sK0),
inference(cnf_transformation,[],[f35]) ).
fof(f66,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(literal_reordering,[],[f52]) ).
fof(f52,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X1,X0,X2] : multiplication(multiplication(X1,X0),X2) = multiplication(X1,multiplication(X0,X2)),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f70,plain,
! [X2,X0,X1] : multiplication(X2,addition(X0,X1)) = addition(multiplication(X2,X0),multiplication(X2,X1)),
inference(literal_reordering,[],[f57]) ).
fof(f57,plain,
! [X2,X0,X1] : multiplication(X2,addition(X0,X1)) = addition(multiplication(X2,X0),multiplication(X2,X1)),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] : multiplication(X2,addition(X0,X1)) = addition(multiplication(X2,X0),multiplication(X2,X1)),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X2,X0,X1] : addition(multiplication(X1,X2),multiplication(X1,X0)) = multiplication(X1,addition(X2,X0)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE148+1 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:26:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.54 % (30575)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)
% 0.20/0.56 % (30601)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)
% 0.20/0.56 % (30587)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.57 % (30583)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57 % (30583)Instruction limit reached!
% 0.20/0.57 % (30583)------------------------------
% 0.20/0.57 % (30583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (30583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (30583)Termination reason: Unknown
% 0.20/0.58 % (30583)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (30583)Memory used [KB]: 5373
% 0.20/0.58 % (30583)Time elapsed: 0.146 s
% 0.20/0.58 % (30583)Instructions burned: 2 (million)
% 0.20/0.58 % (30583)------------------------------
% 0.20/0.58 % (30583)------------------------------
% 0.20/0.58 % (30579)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (30586)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)
% 0.20/0.59 % (30588)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.59 % (30591)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)
% 0.20/0.60 % (30589)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)
% 0.20/0.60 % (30577)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)
% 0.20/0.61 % (30578)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)
% 0.20/0.61 % (30603)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.61 % (30576)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)
% 0.20/0.61 % (30595)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)
% 0.20/0.61 % (30580)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)
% 0.20/0.61 % (30581)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)
% 0.20/0.61 TRYING [4]
% 0.20/0.61 TRYING [1]
% 0.20/0.61 TRYING [2]
% 0.20/0.62 % (30598)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)
% 0.20/0.62 % (30585)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.62 % (30590)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)
% 0.20/0.63 % (30605)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)
% 2.10/0.63 % (30602)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)
% 2.10/0.63 % (30592)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.10/0.64 % (30597)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)
% 2.10/0.64 % (30593)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.10/0.64 TRYING [3]
% 2.10/0.64 % (30596)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.10/0.64 % (30594)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)
% 2.10/0.64 % (30600)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.30/0.65 % (30599)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.30/0.65 % (30584)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)
% 2.36/0.66 % (30582)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.36/0.66 TRYING [1]
% 2.36/0.66 TRYING [2]
% 2.36/0.66 TRYING [3]
% 2.36/0.66 % (30582)Instruction limit reached!
% 2.36/0.66 % (30582)------------------------------
% 2.36/0.66 % (30582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.66 % (30582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.66 % (30582)Termination reason: Unknown
% 2.36/0.66 % (30582)Termination phase: Saturation
% 2.36/0.66
% 2.36/0.66 % (30582)Memory used [KB]: 5500
% 2.36/0.66 % (30582)Time elapsed: 0.188 s
% 2.36/0.66 % (30582)Instructions burned: 7 (million)
% 2.36/0.66 % (30582)------------------------------
% 2.36/0.66 % (30582)------------------------------
% 2.36/0.67 % (30601)First to succeed.
% 2.36/0.68 % (30601)Refutation found. Thanks to Tanya!
% 2.36/0.68 % SZS status Theorem for theBenchmark
% 2.36/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.36/0.68 % (30601)------------------------------
% 2.36/0.68 % (30601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.68 % (30601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.68 % (30601)Termination reason: Refutation
% 2.36/0.68
% 2.36/0.68 % (30601)Memory used [KB]: 6396
% 2.36/0.68 % (30601)Time elapsed: 0.057 s
% 2.36/0.68 % (30601)Instructions burned: 38 (million)
% 2.36/0.68 % (30601)------------------------------
% 2.36/0.68 % (30601)------------------------------
% 2.36/0.68 % (30574)Success in time 0.32 s
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