TSTP Solution File: NUM841+2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM841+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 : Tue Apr 30 14:37:50 EDT 2024
% Result : Theorem 0.16s 0.41s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 32 unt; 0 def)
% Number of atoms : 86 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 27 ~; 17 |; 3 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 99 ( 94 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3582,plain,
$false,
inference(resolution,[],[f3580,f1479]) ).
fof(f1479,plain,
! [X0] : greater(vplus(vd344,X0),vd345),
inference(superposition,[],[f1459,f69]) ).
fof(f69,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X20,X21] : vplus(X21,X20) = vplus(X20,X21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f1459,plain,
! [X0] : greater(vplus(X0,vd344),vd345),
inference(superposition,[],[f1144,f359]) ).
fof(f359,plain,
vd344 = vplus(vd345,sK0(vd345,vd344)),
inference(resolution,[],[f78,f60]) ).
fof(f60,plain,
greater(vd344,vd345),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
greater(vd344,vd345),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(211), 346, 0)') ).
fof(f78,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| vplus(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( vplus(X0,sK0(X0,X1)) = X1
| ~ greater(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f56,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK0(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X3] : vplus(X0,X3) = X1
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X2] : vplus(X0,X2) = X1
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : vplus(X0,X2) = X1 ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X14,X15] :
( greater(X15,X14)
<=> ? [X16] : vplus(X14,X16) = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f1144,plain,
! [X2,X0,X1] : greater(vplus(X2,vplus(X1,X0)),X1),
inference(superposition,[],[f928,f69]) ).
fof(f928,plain,
! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),X2),
inference(superposition,[],[f140,f80]) ).
fof(f80,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X25,X26,X27] : vplus(vplus(X25,X26),X27) = vplus(X25,vplus(X26,X27)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f140,plain,
! [X0,X1] : greater(vplus(X1,X0),X0),
inference(superposition,[],[f68,f69]) ).
fof(f68,plain,
! [X0,X1] : greater(vplus(X0,X1),X0),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] : greater(vplus(X0,X1),X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X6,X7] : greater(vplus(X6,X7),X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof(f3580,plain,
~ greater(vplus(vd344,sK0(vd348,vd347)),vd345),
inference(resolution,[],[f3518,f480]) ).
fof(f480,plain,
! [X2,X0,X1] :
( greater(vplus(X1,X0),vplus(X2,X1))
| ~ greater(X0,X2) ),
inference(superposition,[],[f83,f69]) ).
fof(f83,plain,
! [X2,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( greater(X0,X1)
=> greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4,X5] :
( greater(X3,X4)
=> greater(vplus(X3,X5),vplus(X4,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof(f3518,plain,
~ greater(vplus(vd347,vplus(vd344,sK0(vd348,vd347))),vplus(vd345,vd347)),
inference(superposition,[],[f3434,f360]) ).
fof(f360,plain,
vd347 = vplus(vd348,sK0(vd348,vd347)),
inference(resolution,[],[f78,f61]) ).
fof(f61,plain,
greater(vd347,vd348),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
greater(vd347,vd348),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(211), 349, 0)') ).
fof(f3434,plain,
! [X0] : ~ greater(vplus(vd347,vplus(vd344,X0)),vplus(vd345,vplus(vd348,X0))),
inference(forward_demodulation,[],[f3433,f80]) ).
fof(f3433,plain,
! [X0] : ~ greater(vplus(vplus(vd347,vd344),X0),vplus(vd345,vplus(vd348,X0))),
inference(forward_demodulation,[],[f3374,f80]) ).
fof(f3374,plain,
! [X0] : ~ greater(vplus(vplus(vd347,vd344),X0),vplus(vplus(vd345,vd348),X0)),
inference(resolution,[],[f635,f98]) ).
fof(f98,plain,
~ less(vplus(vd345,vd348),vplus(vd347,vd344)),
inference(forward_demodulation,[],[f97,f69]) ).
fof(f97,plain,
~ less(vplus(vd345,vd348),vplus(vd344,vd347)),
inference(resolution,[],[f76,f59]) ).
fof(f59,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vplus(vd344,vd347),vplus(vd345,vd348)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(214, 352, 0)') ).
fof(f76,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X8,X9] :
( less(X8,X9)
=> greater(X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f635,plain,
! [X2,X0,X1] :
( less(X0,X1)
| ~ greater(vplus(X1,X2),vplus(X0,X2)) ),
inference(resolution,[],[f85,f77]) ).
fof(f77,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X10,X11] :
( greater(X10,X11)
=> less(X11,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ less(vplus(X0,X2),vplus(X1,X2))
| less(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( less(X0,X1)
| ~ less(vplus(X0,X2),vplus(X1,X2)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( less(vplus(X0,X2),vplus(X1,X2))
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM841+2 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 00:02:35 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.32 % (2838)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (2839)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (2841)WARNING: value z3 for option sas not known
% 0.16/0.33 % (2844)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.33 % (2842)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (2840)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (2845)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.33 % (2843)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.33 % (2841)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [3]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [4]
% 0.16/0.35 TRYING [5]
% 0.16/0.36 TRYING [4]
% 0.16/0.38 TRYING [6]
% 0.16/0.41 % (2844)First to succeed.
% 0.16/0.41 % (2844)Refutation found. Thanks to Tanya!
% 0.16/0.41 % SZS status Theorem for theBenchmark
% 0.16/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.41 % (2844)------------------------------
% 0.16/0.41 % (2844)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.41 % (2844)Termination reason: Refutation
% 0.16/0.41
% 0.16/0.41 % (2844)Memory used [KB]: 2009
% 0.16/0.41 % (2844)Time elapsed: 0.082 s
% 0.16/0.41 % (2844)Instructions burned: 159 (million)
% 0.16/0.41 % (2844)------------------------------
% 0.16/0.41 % (2844)------------------------------
% 0.16/0.41 % (2838)Success in time 0.096 s
%------------------------------------------------------------------------------