TSTP Solution File: RNG015-6 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG015-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 14:50:17 EDT 2024
% Result : Unsatisfiable 10.57s 1.90s
% Output : Refutation 10.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39819,plain,
$false,
inference(subsumption_resolution,[],[f39729,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute1) ).
fof(f39729,plain,
multiply(x,add(y,additive_inverse(z))) != add(multiply(x,y),multiply(x,additive_inverse(z))),
inference(superposition,[],[f16,f39435]) ).
fof(f39435,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
inference(superposition,[],[f39324,f2]) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_identity) ).
fof(f39324,plain,
! [X0,X1] : add(additive_inverse(multiply(X1,X0)),additive_identity) = multiply(X1,additive_inverse(X0)),
inference(forward_demodulation,[],[f39096,f4]) ).
fof(f4,axiom,
! [X0] : additive_identity = multiply(X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_multiplicative_zero) ).
fof(f39096,plain,
! [X0,X1] : multiply(X1,additive_inverse(X0)) = add(additive_inverse(multiply(X1,X0)),multiply(X1,additive_identity)),
inference(superposition,[],[f670,f6]) ).
fof(f6,axiom,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_inverse) ).
fof(f670,plain,
! [X2,X0,X1] : multiply(X0,X2) = add(additive_inverse(multiply(X0,X1)),multiply(X0,add(X1,X2))),
inference(superposition,[],[f56,f8]) ).
fof(f56,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(forward_demodulation,[],[f44,f1]) ).
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f44,plain,
! [X0,X1] : add(additive_identity,X1) = add(additive_inverse(X0),add(X0,X1)),
inference(superposition,[],[f11,f5]) ).
fof(f5,axiom,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_inverse) ).
fof(f11,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_for_addition) ).
fof(f16,axiom,
multiply(x,add(y,additive_inverse(z))) != add(multiply(x,y),additive_inverse(multiply(x,z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : RNG015-6 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 02:15:18 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (4169)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (4174)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)
% 0.11/0.34 % (4176)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)
% 0.11/0.34 % (4171)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (4172)WARNING: value z3 for option sas not known
% 0.11/0.34 % (4173)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (4175)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)
% 0.11/0.34 % (4172)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)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 % (4170)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.36 TRYING [4]
% 0.11/0.36 TRYING [3]
% 0.17/0.39 TRYING [4]
% 0.17/0.40 TRYING [5]
% 0.17/0.53 TRYING [6]
% 1.60/0.55 TRYING [5]
% 3.69/0.89 TRYING [7]
% 7.84/1.44 TRYING [1]
% 7.84/1.44 TRYING [2]
% 7.84/1.45 TRYING [3]
% 7.84/1.47 TRYING [4]
% 8.66/1.59 TRYING [5]
% 9.16/1.65 TRYING [6]
% 10.57/1.90 % (4172)First to succeed.
% 10.57/1.90 % (4172)Refutation found. Thanks to Tanya!
% 10.57/1.90 % SZS status Unsatisfiable for theBenchmark
% 10.57/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 10.57/1.90 % (4172)------------------------------
% 10.57/1.90 % (4172)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 10.57/1.90 % (4172)Termination reason: Refutation
% 10.57/1.90
% 10.57/1.90 % (4172)Memory used [KB]: 17537
% 10.57/1.90 % (4172)Time elapsed: 1.558 s
% 10.57/1.90 % (4172)Instructions burned: 4096 (million)
% 10.57/1.90 % (4172)------------------------------
% 10.57/1.90 % (4172)------------------------------
% 10.57/1.90 % (4169)Success in time 1.565 s
%------------------------------------------------------------------------------