TSTP Solution File: LCL146-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL146-1 : 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 : n019.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 13:40:38 EDT 2024
% Result : Unsatisfiable 1.75s 0.62s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 7
% Syntax : Number of formulae : 69 ( 69 unt; 0 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 96 ( 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15222,plain,
$false,
inference(trivial_inequality_removal,[],[f15221]) ).
fof(f15221,plain,
not(big_hat(x,y)) != not(big_hat(x,y)),
inference(forward_demodulation,[],[f15146,f1061]) ).
fof(f1061,plain,
! [X0,X1] : big_hat(X0,X1) = big_hat(X1,X0),
inference(superposition,[],[f36,f6]) ).
fof(f6,axiom,
! [X0,X1] : big_hat(X0,X1) = not(big_V(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',big_hat_definition) ).
fof(f36,plain,
! [X0,X1] : big_hat(X0,X1) = not(big_V(not(X1),not(X0))),
inference(superposition,[],[f6,f23]) ).
fof(f23,plain,
! [X0,X1] : big_V(X0,X1) = big_V(X1,X0),
inference(superposition,[],[f17,f5]) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',big_V_definition) ).
fof(f17,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X1,X0),
inference(forward_demodulation,[],[f3,f5]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f15146,plain,
not(big_hat(x,y)) != not(big_hat(y,x)),
inference(superposition,[],[f9,f6564]) ).
fof(f6564,plain,
! [X0,X1] : big_V(not(X0),not(X1)) = not(big_hat(X1,X0)),
inference(superposition,[],[f6387,f36]) ).
fof(f6387,plain,
! [X0] : not(not(X0)) = X0,
inference(superposition,[],[f5789,f5687]) ).
fof(f5687,plain,
! [X0] : implies(not(X0),not(truth)) = X0,
inference(forward_demodulation,[],[f5686,f73]) ).
fof(f73,plain,
! [X0] : big_V(X0,implies(not(X0),not(truth))) = X0,
inference(forward_demodulation,[],[f70,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f70,plain,
! [X0] : implies(truth,X0) = big_V(X0,implies(not(X0),not(truth))),
inference(superposition,[],[f17,f50]) ).
fof(f50,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f4,f1]) ).
fof(f4,axiom,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_4) ).
fof(f5686,plain,
! [X0] : implies(not(X0),not(truth)) = big_V(X0,implies(not(X0),not(truth))),
inference(forward_demodulation,[],[f5644,f1]) ).
fof(f5644,plain,
! [X0] : big_V(X0,implies(not(X0),not(truth))) = implies(truth,implies(not(X0),not(truth))),
inference(superposition,[],[f5,f5054]) ).
fof(f5054,plain,
! [X0] : truth = implies(X0,implies(not(X0),not(truth))),
inference(forward_demodulation,[],[f5002,f154]) ).
fof(f154,plain,
! [X0] : truth = big_V(truth,X0),
inference(superposition,[],[f133,f1]) ).
fof(f133,plain,
! [X0,X1] : truth = implies(X0,big_V(X0,X1)),
inference(forward_demodulation,[],[f132,f5]) ).
fof(f132,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
inference(forward_demodulation,[],[f94,f1]) ).
fof(f94,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
inference(superposition,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f5002,plain,
! [X0] : implies(X0,implies(not(X0),not(truth))) = big_V(truth,implies(X0,implies(not(X0),not(truth)))),
inference(superposition,[],[f61,f2296]) ).
fof(f2296,plain,
! [X0] : truth = implies(not(implies(X0,not(truth))),X0),
inference(forward_demodulation,[],[f2295,f1]) ).
fof(f2295,plain,
! [X0] : truth = implies(implies(truth,not(implies(X0,not(truth)))),X0),
inference(forward_demodulation,[],[f2294,f2206]) ).
fof(f2206,plain,
truth = big_hat(truth,truth),
inference(superposition,[],[f2136,f949]) ).
fof(f949,plain,
big_hat(truth,truth) = implies(not(truth),big_hat(truth,truth)),
inference(forward_demodulation,[],[f948,f1]) ).
fof(f948,plain,
implies(truth,big_hat(truth,truth)) = implies(not(truth),big_hat(truth,truth)),
inference(forward_demodulation,[],[f915,f216]) ).
fof(f216,plain,
! [X0] : not(not(X0)) = big_hat(X0,X0),
inference(superposition,[],[f6,f178]) ).
fof(f178,plain,
! [X0] : big_V(X0,X0) = X0,
inference(forward_demodulation,[],[f169,f1]) ).
fof(f169,plain,
! [X0] : implies(truth,X0) = big_V(X0,X0),
inference(superposition,[],[f12,f154]) ).
fof(f12,plain,
! [X0] : big_V(X0,X0) = implies(big_V(truth,X0),X0),
inference(superposition,[],[f5,f10]) ).
fof(f10,plain,
! [X0] : big_V(truth,X0) = implies(X0,X0),
inference(superposition,[],[f5,f1]) ).
fof(f915,plain,
implies(truth,not(not(truth))) = implies(not(truth),not(not(truth))),
inference(superposition,[],[f845,f65]) ).
fof(f65,plain,
truth = big_V(not(truth),not(not(truth))),
inference(superposition,[],[f50,f17]) ).
fof(f845,plain,
! [X0,X1] : implies(X1,X0) = implies(big_V(X1,X0),X0),
inference(superposition,[],[f817,f21]) ).
fof(f21,plain,
! [X0,X1] : implies(big_V(X0,X1),X1) = big_V(X1,implies(X0,X1)),
inference(superposition,[],[f17,f5]) ).
fof(f817,plain,
! [X0,X1] : implies(X1,X0) = big_V(X0,implies(X1,X0)),
inference(forward_demodulation,[],[f808,f1]) ).
fof(f808,plain,
! [X0,X1] : big_V(X0,implies(X1,X0)) = implies(truth,implies(X1,X0)),
inference(superposition,[],[f5,f744]) ).
fof(f744,plain,
! [X0,X1] : truth = implies(X0,implies(X1,X0)),
inference(superposition,[],[f233,f1]) ).
fof(f233,plain,
! [X0,X1] : truth = implies(truth,implies(X1,implies(X0,X1))),
inference(forward_demodulation,[],[f222,f1]) ).
fof(f222,plain,
! [X0,X1] : truth = implies(truth,implies(implies(truth,X1),implies(X0,X1))),
inference(superposition,[],[f2,f205]) ).
fof(f205,plain,
! [X0] : truth = implies(X0,truth),
inference(superposition,[],[f133,f167]) ).
fof(f167,plain,
! [X0] : truth = big_V(X0,truth),
inference(superposition,[],[f154,f23]) ).
fof(f2136,plain,
! [X0] : truth = implies(not(truth),X0),
inference(superposition,[],[f1841,f74]) ).
fof(f74,plain,
! [X0] : big_V(implies(not(X0),not(truth)),X0) = X0,
inference(forward_demodulation,[],[f71,f1]) ).
fof(f71,plain,
! [X0] : implies(truth,X0) = big_V(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f5,f50]) ).
fof(f1841,plain,
! [X2,X0,X1] : truth = implies(X0,big_V(implies(X1,X0),X2)),
inference(forward_demodulation,[],[f1784,f845]) ).
fof(f1784,plain,
! [X2,X0,X1] : truth = implies(X0,big_V(implies(big_V(X1,X0),X0),X2)),
inference(superposition,[],[f1711,f21]) ).
fof(f1711,plain,
! [X2,X0,X1] : truth = implies(X0,big_V(big_V(X0,X1),X2)),
inference(superposition,[],[f1238,f1]) ).
fof(f1238,plain,
! [X2,X0,X1] : truth = implies(truth,implies(X0,big_V(big_V(X0,X1),X2))),
inference(superposition,[],[f162,f133]) ).
fof(f162,plain,
! [X2,X0,X1] : truth = implies(implies(X2,X0),implies(X2,big_V(X0,X1))),
inference(forward_demodulation,[],[f156,f1]) ).
fof(f156,plain,
! [X2,X0,X1] : truth = implies(implies(X2,X0),implies(truth,implies(X2,big_V(X0,X1)))),
inference(superposition,[],[f2,f133]) ).
fof(f2294,plain,
! [X0] : truth = implies(implies(big_hat(truth,truth),not(implies(X0,not(truth)))),X0),
inference(forward_demodulation,[],[f2272,f216]) ).
fof(f2272,plain,
! [X0] : truth = implies(implies(not(not(truth)),not(implies(X0,not(truth)))),X0),
inference(superposition,[],[f51,f2247]) ).
fof(f2247,plain,
! [X0] : big_V(not(truth),X0) = X0,
inference(forward_demodulation,[],[f2224,f1]) ).
fof(f2224,plain,
! [X0] : implies(truth,X0) = big_V(not(truth),X0),
inference(superposition,[],[f5,f2136]) ).
fof(f51,plain,
! [X0,X1] : truth = implies(implies(not(X1),not(implies(X0,X1))),big_V(X1,X0)),
inference(superposition,[],[f4,f17]) ).
fof(f61,plain,
! [X0,X1] : implies(X1,X0) = big_V(implies(not(X0),not(X1)),implies(X1,X0)),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f56,plain,
! [X0,X1] : implies(truth,implies(X1,X0)) = big_V(implies(not(X0),not(X1)),implies(X1,X0)),
inference(superposition,[],[f5,f4]) ).
fof(f5789,plain,
! [X0] : not(X0) = implies(X0,not(truth)),
inference(forward_demodulation,[],[f5754,f2249]) ).
fof(f2249,plain,
! [X0] : big_V(X0,not(truth)) = X0,
inference(forward_demodulation,[],[f2226,f1]) ).
fof(f2226,plain,
! [X0] : implies(truth,X0) = big_V(X0,not(truth)),
inference(superposition,[],[f17,f2136]) ).
fof(f5754,plain,
! [X0] : implies(X0,not(truth)) = big_V(not(X0),not(truth)),
inference(superposition,[],[f5,f5687]) ).
fof(f9,axiom,
not(big_hat(x,y)) != big_V(not(x),not(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_theorem) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL146-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Apr 29 22:50:44 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (2457)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (2460)WARNING: value z3 for option sas not known
% 0.14/0.38 % (2461)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (2458)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (2459)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (2462)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)
% 0.14/0.38 % (2460)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)
% 0.14/0.38 % (2463)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)
% 0.14/0.38 % (2464)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [5]
% 0.21/0.42 TRYING [4]
% 0.21/0.46 TRYING [6]
% 0.21/0.55 TRYING [5]
% 1.75/0.61 % (2460)First to succeed.
% 1.75/0.61 % (2464)Also succeeded, but the first one will report.
% 1.75/0.62 % (2460)Refutation found. Thanks to Tanya!
% 1.75/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.75/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.62 % (2460)------------------------------
% 1.75/0.62 % (2460)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.75/0.62 % (2460)Termination reason: Refutation
% 1.75/0.62
% 1.75/0.62 % (2460)Memory used [KB]: 5588
% 1.75/0.62 % (2460)Time elapsed: 0.236 s
% 1.75/0.62 % (2460)Instructions burned: 707 (million)
% 1.75/0.62 % (2460)------------------------------
% 1.75/0.62 % (2460)------------------------------
% 1.75/0.62 % (2457)Success in time 0.244 s
%------------------------------------------------------------------------------