TSTP Solution File: NUM845+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0.
% 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 18:06:57 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 36 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 0 |; 8 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 54 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f141,plain,
$false,
inference(trivial_inequality_removal,[],[f140]) ).
fof(f140,plain,
vmul(vplus(vd411,v1),vplus(v1,sK0)) != vmul(vplus(vd411,v1),vplus(v1,sK0)),
inference(backward_demodulation,[],[f124,f139]) ).
fof(f139,plain,
! [X8,X9,X7] : vplus(X7,vplus(X8,vmul(vplus(X7,X8),X9))) = vmul(vplus(X7,X8),vplus(v1,X9)),
inference(superposition,[],[f58,f102]) ).
fof(f102,plain,
! [X0,X1] : vplus(X0,vmul(X0,X1)) = vmul(X0,vplus(v1,X1)),
inference(backward_demodulation,[],[f63,f51]) ).
fof(f51,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1,X0] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X5] : vplus(X5,X4) = vplus(X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f63,plain,
! [X0,X1] : vmul(X0,vplus(v1,X1)) = vplus(vmul(X0,X1),X0),
inference(definition_unfolding,[],[f46,f50]) ).
fof(f50,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X6] : vplus(v1,X6) = vsucc(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f46,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0)
& vmul(X0,v1) = X0 ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X2,X3] :
( vmul(X2,vsucc(X3)) = vplus(vmul(X2,X3),X2)
& vmul(X2,v1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f58,plain,
! [X2,X0,X1] : vplus(vplus(X1,X0),X2) = vplus(X1,vplus(X0,X2)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] : vplus(vplus(X1,X0),X2) = vplus(X1,vplus(X0,X2)),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X2,X0,X1] : vplus(vplus(X0,X2),X1) = vplus(X0,vplus(X2,X1)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X7,X9,X8] : vplus(vplus(X7,X8),X9) = vplus(X7,vplus(X8,X9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f124,plain,
vmul(vplus(vd411,v1),vplus(v1,sK0)) != vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),sK0))),
inference(forward_demodulation,[],[f123,f100]) ).
fof(f100,plain,
vmul(vplus(vd411,v1),sK0) = vplus(sK0,vmul(vd411,sK0)),
inference(backward_demodulation,[],[f94,f51]) ).
fof(f94,plain,
vmul(vplus(vd411,v1),sK0) = vplus(vmul(vd411,sK0),sK0),
inference(forward_demodulation,[],[f61,f73]) ).
fof(f73,plain,
! [X1] : vplus(v1,X1) = vplus(X1,v1),
inference(definition_unfolding,[],[f60,f50]) ).
fof(f60,plain,
! [X1] : vsucc(X1) = vplus(X1,v1),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( vsucc(X1) = vplus(X1,v1)
& vsucc(vplus(X1,X0)) = vplus(X1,vsucc(X0)) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X11,X10] :
( vplus(X10,v1) = vsucc(X10)
& vplus(X10,vsucc(X11)) = vsucc(vplus(X10,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f61,plain,
vmul(vplus(v1,vd411),sK0) = vplus(vmul(vd411,sK0),sK0),
inference(definition_unfolding,[],[f44,f50]) ).
fof(f44,plain,
vmul(vsucc(vd411),sK0) = vplus(vmul(vd411,sK0),sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( vmul(vsucc(vd411),sK0) = vplus(vmul(vd411,sK0),sK0)
& vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0)) != vmul(vsucc(vd411),vsucc(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f31,f39]) ).
fof(f39,plain,
( ? [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
& vmul(vsucc(vd411),vsucc(X0)) != vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) )
=> ( vmul(vsucc(vd411),sK0) = vplus(vmul(vd411,sK0),sK0)
& vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0)) != vmul(vsucc(vd411),vsucc(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
& vmul(vsucc(vd411),vsucc(X0)) != vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
=> vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
=> vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(ind(267), imp(267))') ).
fof(f123,plain,
vmul(vplus(vd411,v1),vplus(v1,sK0)) != vplus(vd411,vplus(v1,vplus(sK0,vmul(vd411,sK0)))),
inference(forward_demodulation,[],[f118,f74]) ).
fof(f74,plain,
! [X0,X1] : vplus(v1,vplus(X1,X0)) = vplus(X1,vplus(v1,X0)),
inference(definition_unfolding,[],[f59,f50,f50]) ).
fof(f59,plain,
! [X0,X1] : vsucc(vplus(X1,X0)) = vplus(X1,vsucc(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f118,plain,
vmul(vplus(vd411,v1),vplus(v1,sK0)) != vplus(v1,vplus(vd411,vplus(sK0,vmul(vd411,sK0)))),
inference(backward_demodulation,[],[f104,f114]) ).
fof(f114,plain,
! [X2,X3,X1] : vplus(X2,vplus(X1,X3)) = vplus(X1,vplus(X2,X3)),
inference(forward_demodulation,[],[f107,f58]) ).
fof(f107,plain,
! [X2,X3,X1] : vplus(vplus(X2,X1),X3) = vplus(X1,vplus(X2,X3)),
inference(superposition,[],[f58,f51]) ).
fof(f104,plain,
vmul(vplus(vd411,v1),vplus(v1,sK0)) != vplus(v1,vplus(sK0,vplus(vd411,vmul(vd411,sK0)))),
inference(backward_demodulation,[],[f101,f102]) ).
fof(f101,plain,
vmul(vplus(vd411,v1),vplus(v1,sK0)) != vplus(v1,vplus(sK0,vmul(vd411,vplus(v1,sK0)))),
inference(backward_demodulation,[],[f95,f51]) ).
fof(f95,plain,
vmul(vplus(vd411,v1),vplus(v1,sK0)) != vplus(v1,vplus(vmul(vd411,vplus(v1,sK0)),sK0)),
inference(backward_demodulation,[],[f79,f74]) ).
fof(f79,plain,
vmul(vplus(vd411,v1),vplus(v1,sK0)) != vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)),
inference(forward_demodulation,[],[f62,f73]) ).
fof(f62,plain,
vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)) != vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(definition_unfolding,[],[f43,f50,f50,f50,f50]) ).
fof(f43,plain,
vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0)) != vmul(vsucc(vd411),vsucc(sK0)),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % 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 09:03:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.55 % (18071)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)
% 0.19/0.55 % (18088)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)
% 0.19/0.55 % (18066)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)
% 0.19/0.56 % (18080)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)
% 0.19/0.56 % (18075)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56 % (18079)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)
% 0.19/0.57 % (18072)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.57 % (18088)First to succeed.
% 0.19/0.57 % (18083)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.58 % (18088)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Theorem for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (18088)------------------------------
% 0.19/0.58 % (18088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (18088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (18088)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (18088)Memory used [KB]: 5500
% 0.19/0.58 % (18088)Time elapsed: 0.091 s
% 0.19/0.58 % (18088)Instructions burned: 9 (million)
% 0.19/0.58 % (18088)------------------------------
% 0.19/0.58 % (18088)------------------------------
% 0.19/0.58 % (18064)Success in time 0.229 s
%------------------------------------------------------------------------------