TSTP Solution File: NUM841+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM841+1 : 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 : n023.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 14:37:49 EDT 2024
% Result : Theorem 0.12s 0.30s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 23 unt; 0 def)
% Number of atoms : 58 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 21 ~; 12 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f855,plain,
$false,
inference(resolution,[],[f854,f242]) ).
fof(f242,plain,
greater(vplus(vd347,vd344),vplus(vd345,vd347)),
inference(superposition,[],[f125,f133]) ).
fof(f133,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X46,X47] : vplus(X47,X46) = vplus(X46,X47),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f125,plain,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(212, 350, 0)') ).
fof(f854,plain,
~ greater(vplus(vd347,vd344),vplus(vd345,vd347)),
inference(resolution,[],[f841,f150]) ).
fof(f150,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X27,X28] :
( greater(X27,X28)
=> less(X28,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f841,plain,
~ less(vplus(vd345,vd347),vplus(vd347,vd344)),
inference(resolution,[],[f829,f184]) ).
fof(f184,plain,
greater(vplus(vd345,vd347),vplus(vd345,vd348)),
inference(forward_demodulation,[],[f183,f123]) ).
fof(f123,plain,
vplus(vd347,vd345) = vplus(vd345,vd347),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
vplus(vd347,vd345) = vplus(vd345,vd347),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(213, 351, 0)') ).
fof(f183,plain,
greater(vplus(vd347,vd345),vplus(vd345,vd348)),
inference(forward_demodulation,[],[f126,f124]) ).
fof(f124,plain,
vplus(vd345,vd348) = vplus(vd348,vd345),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
vplus(vd345,vd348) = vplus(vd348,vd345),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(213, 351, 2)') ).
fof(f126,plain,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(213, 351, 1)') ).
fof(f829,plain,
! [X0] :
( ~ greater(X0,vplus(vd345,vd348))
| ~ less(X0,vplus(vd347,vd344)) ),
inference(resolution,[],[f812,f150]) ).
fof(f812,plain,
! [X0] :
( ~ less(vplus(vd345,vd348),X0)
| ~ less(X0,vplus(vd347,vd344)) ),
inference(resolution,[],[f170,f204]) ).
fof(f204,plain,
~ less(vplus(vd345,vd348),vplus(vd347,vd344)),
inference(forward_demodulation,[],[f203,f133]) ).
fof(f203,plain,
~ less(vplus(vd345,vd348),vplus(vd344,vd347)),
inference(resolution,[],[f149,f120]) ).
fof(f120,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,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/sandbox/benchmark/theBenchmark.p','holds(214, 352, 0)') ).
fof(f149,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X25,X26] :
( less(X25,X26)
=> greater(X26,X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f170,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( less(X0,X1)
& less(X1,X2) )
=> less(X0,X2) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X14,X15,X16] :
( ( less(X14,X15)
& less(X15,X16) )
=> less(X14,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : NUM841+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.27 % Computer : n023.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Tue Apr 30 00:20:55 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.28 % (2891)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.28 % (2894)WARNING: value z3 for option sas not known
% 0.12/0.29 % (2895)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.29 % (2893)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.29 % (2896)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)
% 0.12/0.29 % (2894)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)
% 0.12/0.29 % (2897)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)
% 0.12/0.29 % (2892)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.29 % (2898)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)
% 0.12/0.29 TRYING [1]
% 0.12/0.29 TRYING [2]
% 0.12/0.29 TRYING [3]
% 0.12/0.29 TRYING [1]
% 0.12/0.29 TRYING [2]
% 0.12/0.29 TRYING [4]
% 0.12/0.30 % (2897)First to succeed.
% 0.12/0.30 % (2897)Refutation found. Thanks to Tanya!
% 0.12/0.30 % SZS status Theorem for theBenchmark
% 0.12/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.30 % (2897)------------------------------
% 0.12/0.30 % (2897)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.30 % (2897)Termination reason: Refutation
% 0.12/0.30
% 0.12/0.30 % (2897)Memory used [KB]: 1130
% 0.12/0.30 % (2897)Time elapsed: 0.012 s
% 0.12/0.30 % (2897)Instructions burned: 34 (million)
% 0.12/0.30 % (2897)------------------------------
% 0.12/0.30 % (2897)------------------------------
% 0.12/0.30 % (2891)Success in time 0.018 s
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