TSTP Solution File: GRP197-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP197-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 : Sun May 5 05:54:01 EDT 2024
% Result : Unsatisfiable 91.12s 13.40s
% Output : Refutation 91.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of formulae : 43 ( 36 unt; 0 def)
% Number of atoms : 50 ( 49 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 28 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 96 ( 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115848,plain,
$false,
inference(subsumption_resolution,[],[f115847,f5686]) ).
fof(f5686,plain,
! [X2,X0,X1] : multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(X0,X2))))) = multiply(X0,multiply(X1,multiply(X1,multiply(X0,multiply(X1,X2))))),
inference(forward_demodulation,[],[f5685,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_multiply) ).
fof(f5685,plain,
! [X2,X0,X1] : multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(X0,X2))))) = multiply(X0,multiply(X1,multiply(X1,multiply(multiply(X0,X1),X2)))),
inference(forward_demodulation,[],[f5684,f1]) ).
fof(f5684,plain,
! [X2,X0,X1] : multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(X0,X2))))) = multiply(X0,multiply(X1,multiply(multiply(X1,multiply(X0,X1)),X2))),
inference(forward_demodulation,[],[f5184,f1]) ).
fof(f5184,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X1,multiply(X0,X1))),X2)) = multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(X0,X2))))),
inference(superposition,[],[f308,f1]) ).
fof(f308,plain,
! [X2,X0,X1] : multiply(multiply(X1,multiply(X0,multiply(X0,multiply(X1,X0)))),X2) = multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X1,X2))))),
inference(forward_demodulation,[],[f307,f1]) ).
fof(f307,plain,
! [X2,X0,X1] : multiply(multiply(X1,multiply(X0,multiply(X0,multiply(X1,X0)))),X2) = multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,X1),X2)))),
inference(forward_demodulation,[],[f306,f1]) ).
fof(f306,plain,
! [X2,X0,X1] : multiply(multiply(X1,multiply(X0,multiply(X0,multiply(X1,X0)))),X2) = multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,X1)),X2))),
inference(forward_demodulation,[],[f190,f1]) ).
fof(f190,plain,
! [X2,X0,X1] : multiply(multiply(X1,multiply(X0,multiply(X0,multiply(X1,X0)))),X2) = multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,X1))),X2)),
inference(superposition,[],[f1,f4]) ).
fof(f4,axiom,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,X1)))) = multiply(X1,multiply(X0,multiply(X0,multiply(X1,X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
fof(f115847,plain,
! [X0] : multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(a,X0))))))))))) != multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(a,X0))))))))))),
inference(forward_demodulation,[],[f115846,f16643]) ).
fof(f16643,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X2,multiply(X2,multiply(X0,multiply(X1,multiply(X0,multiply(X1,X3))))))) = multiply(X0,multiply(X1,multiply(X2,multiply(X2,multiply(X0,multiply(X1,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f16642,f1]) ).
fof(f16642,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X2,multiply(X2,multiply(X0,multiply(X1,multiply(multiply(X0,X1),X3)))))) = multiply(X0,multiply(X1,multiply(X2,multiply(X2,multiply(X0,multiply(X1,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f16641,f1]) ).
fof(f16641,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X2,multiply(X2,multiply(multiply(X0,X1),multiply(multiply(X0,X1),X3))))) = multiply(X0,multiply(X1,multiply(X2,multiply(X2,multiply(X0,multiply(X1,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f15774,f1]) ).
fof(f15774,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X2,multiply(X2,multiply(multiply(X0,X1),multiply(multiply(X0,X1),X3))))) = multiply(X0,multiply(X1,multiply(X2,multiply(X2,multiply(multiply(X0,X1),multiply(X2,X3)))))),
inference(superposition,[],[f5686,f1]) ).
fof(f115846,plain,
! [X0] : multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(a,X0))))))))))) != multiply(a,multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,multiply(b,X0))))))))))),
inference(forward_demodulation,[],[f115845,f1]) ).
fof(f115845,plain,
! [X0] : multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(a,X0))))))))))) != multiply(a,multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(multiply(a,b),X0)))))))))),
inference(forward_demodulation,[],[f115844,f1]) ).
fof(f115844,plain,
! [X0] : multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(a,X0))))))))))) != multiply(a,multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(b,multiply(multiply(a,multiply(a,b)),X0))))))))),
inference(forward_demodulation,[],[f115843,f1]) ).
fof(f115843,plain,
! [X0] : multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(a,X0))))))))))) != multiply(a,multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(multiply(b,multiply(a,multiply(a,b))),X0)))))))),
inference(forward_demodulation,[],[f115842,f1]) ).
fof(f115842,plain,
! [X0] : multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(a,X0))))))))))) != multiply(a,multiply(a,multiply(a,multiply(b,multiply(a,multiply(multiply(a,b),multiply(multiply(b,multiply(a,multiply(a,b))),X0))))))),
inference(forward_demodulation,[],[f115841,f1]) ).
fof(f115841,plain,
! [X0] : multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(a,X0))))))))))) != multiply(a,multiply(a,multiply(a,multiply(b,multiply(multiply(a,multiply(a,b)),multiply(multiply(b,multiply(a,multiply(a,b))),X0)))))),
inference(forward_demodulation,[],[f115840,f1]) ).
fof(f115840,plain,
! [X0] : multiply(a,multiply(a,multiply(a,multiply(multiply(b,multiply(a,multiply(a,b))),multiply(multiply(b,multiply(a,multiply(a,b))),X0))))) != multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(a,X0))))))))))),
inference(forward_demodulation,[],[f115839,f1]) ).
fof(f115839,plain,
! [X0] : multiply(a,multiply(a,multiply(a,multiply(multiply(b,multiply(a,multiply(a,b))),multiply(multiply(b,multiply(a,multiply(a,b))),X0))))) != multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(multiply(a,a),multiply(a,X0)))))))))),
inference(forward_demodulation,[],[f115838,f1]) ).
fof(f115838,plain,
! [X0] : multiply(a,multiply(a,multiply(a,multiply(multiply(b,multiply(a,multiply(a,b))),multiply(multiply(b,multiply(a,multiply(a,b))),X0))))) != multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(multiply(a,multiply(a,a)),multiply(a,X0))))))))),
inference(forward_demodulation,[],[f115837,f1]) ).
fof(f115837,plain,
! [X0] : multiply(a,multiply(a,multiply(a,multiply(multiply(b,multiply(a,multiply(a,b))),multiply(multiply(b,multiply(a,multiply(a,b))),X0))))) != multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(multiply(b,multiply(a,multiply(a,a))),multiply(a,X0)))))))),
inference(forward_demodulation,[],[f115836,f1]) ).
fof(f115836,plain,
! [X0] : multiply(a,multiply(a,multiply(a,multiply(multiply(b,multiply(a,multiply(a,b))),multiply(multiply(b,multiply(a,multiply(a,b))),X0))))) != multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(multiply(b,multiply(b,multiply(a,multiply(a,a)))),multiply(a,X0))))))),
inference(forward_demodulation,[],[f115835,f1]) ).
fof(f115835,plain,
! [X0] : multiply(a,multiply(a,multiply(a,multiply(multiply(b,multiply(a,multiply(a,b))),multiply(multiply(b,multiply(a,multiply(a,b))),X0))))) != multiply(b,multiply(a,multiply(a,multiply(b,multiply(multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,a))))),multiply(a,X0)))))),
inference(forward_demodulation,[],[f115834,f1]) ).
fof(f115834,plain,
! [X0] : multiply(a,multiply(a,multiply(a,multiply(multiply(b,multiply(a,multiply(a,b))),multiply(multiply(b,multiply(a,multiply(a,b))),X0))))) != multiply(b,multiply(a,multiply(multiply(a,b),multiply(multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,a))))),multiply(a,X0))))),
inference(forward_demodulation,[],[f115833,f1]) ).
fof(f115833,plain,
! [X0] : multiply(a,multiply(a,multiply(a,multiply(multiply(b,multiply(a,multiply(a,b))),multiply(multiply(b,multiply(a,multiply(a,b))),X0))))) != multiply(b,multiply(multiply(a,multiply(a,b)),multiply(multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,a))))),multiply(a,X0)))),
inference(forward_demodulation,[],[f115832,f1]) ).
fof(f115832,plain,
! [X0] : multiply(a,multiply(a,multiply(a,multiply(multiply(b,multiply(a,multiply(a,b))),multiply(multiply(b,multiply(a,multiply(a,b))),X0))))) != multiply(b,multiply(multiply(multiply(a,multiply(a,b)),multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,a)))))),multiply(a,X0))),
inference(forward_demodulation,[],[f115831,f1]) ).
fof(f115831,plain,
! [X0] : multiply(a,multiply(a,multiply(a,multiply(multiply(b,multiply(a,multiply(a,b))),multiply(multiply(b,multiply(a,multiply(a,b))),X0))))) != multiply(multiply(b,multiply(multiply(a,multiply(a,b)),multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,a))))))),multiply(a,X0)),
inference(forward_demodulation,[],[f115727,f1]) ).
fof(f115727,plain,
! [X0] : multiply(a,multiply(a,multiply(a,multiply(multiply(b,multiply(a,multiply(a,b))),multiply(multiply(b,multiply(a,multiply(a,b))),X0))))) != multiply(multiply(multiply(b,multiply(a,multiply(a,b))),multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,a)))))),multiply(a,X0)),
inference(unit_resulting_resolution,[],[f47,f15999]) ).
fof(f15999,plain,
! [X2,X3,X0,X1] :
( multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(X0,X2))))) != multiply(X3,multiply(X1,X2))
| multiply(X0,multiply(X1,multiply(X1,X0))) = X3 ),
inference(superposition,[],[f89,f5686]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X3,multiply(X4,multiply(X0,multiply(X1,X2)))) != multiply(X5,X2)
| multiply(X3,multiply(X4,multiply(X0,X1))) = X5 ),
inference(superposition,[],[f22,f1]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4] :
( multiply(X3,multiply(X0,multiply(X1,X2))) != multiply(X4,X2)
| multiply(X3,multiply(X0,X1)) = X4 ),
inference(superposition,[],[f11,f1]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( multiply(X0,multiply(X1,X2)) != multiply(X3,X2)
| multiply(X0,X1) = X3 ),
inference(superposition,[],[f2,f1]) ).
fof(f2,axiom,
! [X3,X4,X5] :
( multiply(X3,X4) != multiply(X5,X4)
| X3 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_cancellation) ).
fof(f47,plain,
! [X0,X1] : multiply(X0,multiply(X1,multiply(b,multiply(b,multiply(a,multiply(a,a)))))) != multiply(X0,multiply(X1,multiply(a,multiply(b,multiply(a,multiply(a,b)))))),
inference(forward_demodulation,[],[f40,f1]) ).
fof(f40,plain,
! [X0,X1] : multiply(X0,multiply(X1,multiply(a,multiply(b,multiply(a,multiply(a,b)))))) != multiply(multiply(X0,X1),multiply(b,multiply(b,multiply(a,multiply(a,a))))),
inference(unit_resulting_resolution,[],[f5,f9]) ).
fof(f9,plain,
! [X2,X3,X0,X1] :
( multiply(X0,multiply(X1,X2)) != multiply(multiply(X0,X1),X3)
| X2 = X3 ),
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X3,X4,X5] :
( multiply(X3,X4) != multiply(X3,X5)
| X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_cancellation) ).
fof(f5,axiom,
multiply(b,multiply(b,multiply(a,multiply(a,a)))) != multiply(a,multiply(b,multiply(a,multiply(a,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP197-1 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n025.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 : Fri May 3 20:38:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (27797)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (27801)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (27800)WARNING: value z3 for option sas not known
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (27800)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 % (27798)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (27802)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 % (27799)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 % (27803)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 % (27804)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 [4]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [5]
% 0.14/0.41 TRYING [4]
% 0.21/0.45 TRYING [6]
% 0.21/0.48 TRYING [5]
% 1.61/0.58 TRYING [7]
% 1.75/0.60 TRYING [6]
% 2.93/0.81 TRYING [8]
% 4.58/1.00 TRYING [7]
% 6.22/1.24 TRYING [9]
% 7.86/1.48 TRYING [1]
% 7.86/1.48 TRYING [2]
% 7.86/1.48 TRYING [3]
% 7.86/1.49 TRYING [4]
% 7.86/1.50 TRYING [5]
% 8.29/1.55 TRYING [6]
% 8.94/1.66 TRYING [7]
% 9.48/1.77 TRYING [8]
% 10.28/1.88 TRYING [8]
% 11.47/2.08 TRYING [10]
% 13.67/2.36 TRYING [9]
% 20.57/3.33 TRYING [9]
% 21.41/3.42 TRYING [11]
% 21.41/3.43 TRYING [10]
% 38.22/5.86 TRYING [11]
% 44.49/6.79 TRYING [12]
% 46.67/7.10 TRYING [10]
% 61.20/9.15 TRYING [12]
% 90.49/13.38 % (27804)First to succeed.
% 90.49/13.39 % (27804)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27797"
% 91.12/13.40 % (27804)Refutation found. Thanks to Tanya!
% 91.12/13.40 % SZS status Unsatisfiable for theBenchmark
% 91.12/13.40 % SZS output start Proof for theBenchmark
% See solution above
% 91.12/13.40 % (27804)------------------------------
% 91.12/13.40 % (27804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 91.12/13.40 % (27804)Termination reason: Refutation
% 91.12/13.40
% 91.12/13.40 % (27804)Memory used [KB]: 47375
% 91.12/13.40 % (27804)Time elapsed: 13.007 s
% 91.12/13.40 % (27804)Instructions burned: 28612 (million)
% 91.12/13.40 % (27797)Success in time 12.969 s
%------------------------------------------------------------------------------