TSTP Solution File: KLE035+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE035+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 : n014.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 17:28:54 EDT 2022
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 30 unt; 0 def)
% Number of atoms : 85 ( 22 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 62 ( 19 ~; 3 |; 34 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 75 ( 59 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,plain,
$false,
inference(subsumption_resolution,[],[f96,f79]) ).
fof(f79,plain,
leq(multiplication(sK2,multiplication(sK0,c(sK1))),zero),
inference(backward_demodulation,[],[f52,f66]) ).
fof(f66,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(rectify,[],[f22]) ).
fof(f22,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/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f52,plain,
leq(multiplication(multiplication(sK2,sK0),c(sK1)),zero),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ~ leq(multiplication(multiplication(sK2,addition(sK3,sK0)),c(sK1)),zero)
& leq(multiplication(multiplication(sK2,sK3),c(sK1)),zero)
& leq(multiplication(multiplication(sK2,sK0),c(sK1)),zero)
& test(sK1)
& test(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f34,f35]) ).
fof(f35,plain,
( ? [X0,X1,X2,X3] :
( ~ leq(multiplication(multiplication(X2,addition(X3,X0)),c(X1)),zero)
& leq(multiplication(multiplication(X2,X3),c(X1)),zero)
& leq(multiplication(multiplication(X2,X0),c(X1)),zero)
& test(X1)
& test(X2) )
=> ( ~ leq(multiplication(multiplication(sK2,addition(sK3,sK0)),c(sK1)),zero)
& leq(multiplication(multiplication(sK2,sK3),c(sK1)),zero)
& leq(multiplication(multiplication(sK2,sK0),c(sK1)),zero)
& test(sK1)
& test(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
? [X0,X1,X2,X3] :
( ~ leq(multiplication(multiplication(X2,addition(X3,X0)),c(X1)),zero)
& leq(multiplication(multiplication(X2,X3),c(X1)),zero)
& leq(multiplication(multiplication(X2,X0),c(X1)),zero)
& test(X1)
& test(X2) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
? [X2,X1,X0,X3] :
( ~ leq(multiplication(multiplication(X0,addition(X3,X2)),c(X1)),zero)
& leq(multiplication(multiplication(X0,X3),c(X1)),zero)
& leq(multiplication(multiplication(X0,X2),c(X1)),zero)
& test(X1)
& test(X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X0,X1,X2,X3] :
( ~ leq(multiplication(multiplication(X0,addition(X3,X2)),c(X1)),zero)
& leq(multiplication(multiplication(X0,X2),c(X1)),zero)
& test(X0)
& leq(multiplication(multiplication(X0,X3),c(X1)),zero)
& test(X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2,X3] :
( ( leq(multiplication(multiplication(X0,X2),c(X1)),zero)
& test(X0)
& leq(multiplication(multiplication(X0,X3),c(X1)),zero)
& test(X1) )
=> leq(multiplication(multiplication(X0,addition(X3,X2)),c(X1)),zero) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X5,X6,X4,X3] :
( ( leq(multiplication(multiplication(X5,X4),c(X6)),zero)
& test(X6)
& test(X5)
& leq(multiplication(multiplication(X5,X3),c(X6)),zero) )
=> leq(multiplication(multiplication(X5,addition(X3,X4)),c(X6)),zero) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X5,X6,X4,X3] :
( ( leq(multiplication(multiplication(X5,X4),c(X6)),zero)
& test(X6)
& test(X5)
& leq(multiplication(multiplication(X5,X3),c(X6)),zero) )
=> leq(multiplication(multiplication(X5,addition(X3,X4)),c(X6)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f96,plain,
~ leq(multiplication(sK2,multiplication(sK0,c(sK1))),zero),
inference(forward_demodulation,[],[f95,f72]) ).
fof(f72,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f95,plain,
~ leq(addition(multiplication(sK2,multiplication(sK0,c(sK1))),zero),zero),
inference(backward_demodulation,[],[f82,f93]) ).
fof(f93,plain,
zero = multiplication(sK2,multiplication(sK3,c(sK1))),
inference(forward_demodulation,[],[f92,f72]) ).
fof(f92,plain,
zero = addition(multiplication(sK2,multiplication(sK3,c(sK1))),zero),
inference(resolution,[],[f64,f83]) ).
fof(f83,plain,
leq(multiplication(sK2,multiplication(sK3,c(sK1))),zero),
inference(forward_demodulation,[],[f53,f66]) ).
fof(f53,plain,
leq(multiplication(multiplication(sK2,sK3),c(sK1)),zero),
inference(cnf_transformation,[],[f36]) ).
fof(f64,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| addition(X1,X0) = X0 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( leq(X1,X0)
| addition(X1,X0) != X0 )
& ( addition(X1,X0) = X0
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( leq(X1,X0)
<=> addition(X1,X0) = X0 ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( addition(X0,X1) = X1
<=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f82,plain,
~ leq(addition(multiplication(sK2,multiplication(sK0,c(sK1))),multiplication(sK2,multiplication(sK3,c(sK1)))),zero),
inference(backward_demodulation,[],[f81,f71]) ).
fof(f71,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f81,plain,
~ leq(addition(multiplication(sK2,multiplication(sK3,c(sK1))),multiplication(sK2,multiplication(sK0,c(sK1)))),zero),
inference(forward_demodulation,[],[f80,f66]) ).
fof(f80,plain,
~ leq(addition(multiplication(multiplication(sK2,sK3),c(sK1)),multiplication(sK2,multiplication(sK0,c(sK1)))),zero),
inference(backward_demodulation,[],[f78,f66]) ).
fof(f78,plain,
~ leq(addition(multiplication(multiplication(sK2,sK3),c(sK1)),multiplication(multiplication(sK2,sK0),c(sK1))),zero),
inference(forward_demodulation,[],[f77,f75]) ).
fof(f75,plain,
! [X2,X0,X1] : multiplication(addition(X2,X1),X0) = addition(multiplication(X2,X0),multiplication(X1,X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] : multiplication(addition(X2,X1),X0) = addition(multiplication(X2,X0),multiplication(X1,X0)),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X1,X0] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f77,plain,
~ leq(multiplication(addition(multiplication(sK2,sK3),multiplication(sK2,sK0)),c(sK1)),zero),
inference(backward_demodulation,[],[f54,f49]) ).
fof(f49,plain,
! [X2,X0,X1] : multiplication(X1,addition(X0,X2)) = addition(multiplication(X1,X0),multiplication(X1,X2)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] : multiplication(X1,addition(X0,X2)) = addition(multiplication(X1,X0),multiplication(X1,X2)),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X2,X0,X1] : multiplication(X0,addition(X2,X1)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f54,plain,
~ leq(multiplication(multiplication(sK2,addition(sK3,sK0)),c(sK1)),zero),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE035+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 00:24:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.53 % (2674)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)
% 0.21/0.54 % (2683)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)
% 0.21/0.54 % (2690)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)
% 0.21/0.54 % (2682)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)
% 0.21/0.54 % (2686)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (2670)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.55 % (2694)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)
% 0.21/0.55 % (2691)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)
% 0.21/0.55 TRYING [2]
% 0.21/0.55 TRYING [3]
% 0.21/0.55 % (2691)First to succeed.
% 0.21/0.55 % (2675)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56 % (2696)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.56 % (2675)Instruction limit reached!
% 0.21/0.56 % (2675)------------------------------
% 0.21/0.56 % (2675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 TRYING [4]
% 0.21/0.56 % (2671)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)
% 0.21/0.56 % (2673)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)
% 0.21/0.56 % (2676)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56 % (2687)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)
% 0.21/0.56 % (2688)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)
% 0.21/0.56 % (2692)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.57 % (2678)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.57 % (2693)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.57 % (2685)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.57 % (2675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (2675)Termination reason: Unknown
% 0.21/0.57 % (2675)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (2675)Memory used [KB]: 5500
% 0.21/0.57 % (2675)Time elapsed: 0.134 s
% 0.21/0.57 % (2675)Instructions burned: 8 (million)
% 0.21/0.57 % (2675)------------------------------
% 0.21/0.57 % (2675)------------------------------
% 0.21/0.57 % (2677)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)
% 0.21/0.57 % (2691)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Theorem for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (2691)------------------------------
% 0.21/0.57 % (2691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (2691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (2691)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (2691)Memory used [KB]: 5500
% 0.21/0.57 % (2691)Time elapsed: 0.136 s
% 0.21/0.57 % (2691)Instructions burned: 4 (million)
% 0.21/0.57 % (2691)------------------------------
% 0.21/0.57 % (2691)------------------------------
% 0.21/0.57 % (2667)Success in time 0.207 s
%------------------------------------------------------------------------------