TSTP Solution File: KLE061+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE061+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 : n002.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 17:29:00 EDT 2022
% Result : Theorem 1.35s 0.54s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 35 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 45 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f277,plain,
$false,
inference(trivial_inequality_removal,[],[f276]) ).
fof(f276,plain,
domain(sK0) != domain(sK0),
inference(backward_demodulation,[],[f36,f275]) ).
fof(f275,plain,
! [X1] : multiplication(domain(X1),domain(X1)) = domain(X1),
inference(backward_demodulation,[],[f262,f274]) ).
fof(f274,plain,
! [X0,X1] : addition(X1,multiplication(X1,domain(X0))) = X1,
inference(forward_demodulation,[],[f270,f42]) ).
fof(f42,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(f270,plain,
! [X0,X1] : addition(multiplication(X1,one),multiplication(X1,domain(X0))) = multiplication(X1,one),
inference(superposition,[],[f44,f245]) ).
fof(f245,plain,
! [X7] : one = addition(one,domain(X7)),
inference(superposition,[],[f43,f39]) ).
fof(f39,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f43,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] : 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(f44,plain,
! [X2,X0,X1] : multiplication(X1,addition(X0,X2)) = addition(multiplication(X1,X0),multiplication(X1,X2)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] : multiplication(X1,addition(X0,X2)) = addition(multiplication(X1,X0),multiplication(X1,X2)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f262,plain,
! [X1] : multiplication(domain(X1),domain(X1)) = addition(domain(X1),multiplication(domain(X1),domain(X1))),
inference(superposition,[],[f45,f77]) ).
fof(f77,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f76,f40]) ).
fof(f40,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(f76,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f38,f40]) ).
fof(f38,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] : domain(multiplication(X1,X0)) = domain(multiplication(X1,domain(X0))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f45,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f36,plain,
multiplication(domain(sK0),domain(sK0)) != domain(sK0),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
multiplication(domain(sK0),domain(sK0)) != domain(sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f29,f30]) ).
fof(f30,plain,
( ? [X0] : multiplication(domain(X0),domain(X0)) != domain(X0)
=> multiplication(domain(sK0),domain(sK0)) != domain(sK0) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0] : multiplication(domain(X0),domain(X0)) != domain(X0),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X0] : multiplication(domain(X0),domain(X0)) = domain(X0),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3] : domain(X3) = multiplication(domain(X3),domain(X3)),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3] : domain(X3) = multiplication(domain(X3),domain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE061+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % 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 : n002.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 00:36:58 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 % (30566)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)
% 0.20/0.51 % (30558)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)
% 0.20/0.51 % (30551)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)
% 0.20/0.51 % (30554)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (30546)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (30549)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (30544)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)
% 0.20/0.52 % (30548)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)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (30553)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)
% 0.20/0.52 % (30572)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)
% 1.35/0.53 % (30545)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)
% 1.35/0.53 % (30549)Instruction limit reached!
% 1.35/0.53 % (30549)------------------------------
% 1.35/0.53 % (30549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53 % (30549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53 % (30549)Termination reason: Unknown
% 1.35/0.53 % (30549)Termination phase: Saturation
% 1.35/0.53
% 1.35/0.53 % (30549)Memory used [KB]: 5500
% 1.35/0.53 % (30549)Time elapsed: 0.074 s
% 1.35/0.53 % (30549)Instructions burned: 8 (million)
% 1.35/0.53 % (30549)------------------------------
% 1.35/0.53 % (30549)------------------------------
% 1.35/0.53 % (30557)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)
% 1.35/0.53 % (30547)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)
% 1.35/0.53 % (30564)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.35/0.53 % (30565)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)
% 1.35/0.53 % (30552)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.35/0.53 TRYING [2]
% 1.35/0.53 % (30559)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)
% 1.35/0.54 % (30562)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)
% 1.35/0.54 TRYING [3]
% 1.35/0.54 % (30570)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)
% 1.35/0.54 % (30550)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.35/0.54 % (30550)Instruction limit reached!
% 1.35/0.54 % (30550)------------------------------
% 1.35/0.54 % (30550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54 % (30550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54 % (30550)Termination reason: Unknown
% 1.35/0.54 % (30550)Termination phase: Preprocessing 3
% 1.35/0.54
% 1.35/0.54 % (30550)Memory used [KB]: 895
% 1.35/0.54 % (30550)Time elapsed: 0.002 s
% 1.35/0.54 % (30550)Instructions burned: 2 (million)
% 1.35/0.54 % (30550)------------------------------
% 1.35/0.54 % (30550)------------------------------
% 1.35/0.54 % (30572)First to succeed.
% 1.35/0.54 % (30567)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.35/0.54 % (30569)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)
% 1.35/0.54 % (30572)Refutation found. Thanks to Tanya!
% 1.35/0.54 % SZS status Theorem for theBenchmark
% 1.35/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.54 % (30572)------------------------------
% 1.35/0.54 % (30572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54 % (30572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54 % (30572)Termination reason: Refutation
% 1.35/0.54
% 1.35/0.54 % (30572)Memory used [KB]: 5628
% 1.35/0.54 % (30572)Time elapsed: 0.143 s
% 1.35/0.54 % (30572)Instructions burned: 10 (million)
% 1.35/0.54 % (30572)------------------------------
% 1.35/0.54 % (30572)------------------------------
% 1.35/0.54 % (30538)Success in time 0.192 s
%------------------------------------------------------------------------------