TSTP Solution File: RNG007-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG007-1 : 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 : n020.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 14:50:13 EDT 2024
% Result : Unsatisfiable 12.49s 2.19s
% Output : Refutation 12.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 47 ( 15 unt; 0 def)
% Number of atoms : 104 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 115 ( 58 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 124 ( 124 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62030,plain,
$false,
inference(resolution,[],[f61839,f19]) ).
fof(f19,axiom,
~ sum(a,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_plus_a_is_id) ).
fof(f61839,plain,
! [X0] : sum(X0,X0,additive_identity),
inference(subsumption_resolution,[],[f61768,f5]) ).
fof(f5,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f61768,plain,
! [X0] :
( sum(X0,X0,additive_identity)
| ~ sum(additive_inverse(X0),X0,additive_identity) ),
inference(superposition,[],[f47364,f47020]) ).
fof(f47020,plain,
! [X0] : multiply(additive_inverse(X0),X0) = X0,
inference(forward_demodulation,[],[f46910,f122]) ).
fof(f122,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(resolution,[],[f119,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ sum(X1,additive_identity,X0)
| X0 = X1 ),
inference(resolution,[],[f16,f2]) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f16,axiom,
! [X2,X0,X1,X4] :
( ~ sum(X0,X1,X4)
| X2 = X4
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f119,plain,
! [X0] : sum(additive_inverse(additive_inverse(X0)),additive_identity,X0),
inference(resolution,[],[f111,f5]) ).
fof(f111,plain,
! [X0,X1] :
( ~ sum(X0,additive_inverse(X1),additive_identity)
| sum(X0,additive_identity,X1) ),
inference(resolution,[],[f95,f5]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,X2,X3)
| ~ sum(X0,X1,additive_identity)
| sum(X0,X3,X2) ),
inference(resolution,[],[f7,f1]) ).
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,X3,X5)
| ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition1) ).
fof(f46910,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = multiply(additive_inverse(X0),X0),
inference(resolution,[],[f46764,f6]) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f46764,plain,
! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_inverse(X1) = multiply(X1,X0) ),
inference(resolution,[],[f46721,f146]) ).
fof(f146,plain,
! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_inverse(X1) = X0 ),
inference(resolution,[],[f112,f27]) ).
fof(f112,plain,
! [X0,X1] :
( sum(X0,additive_identity,additive_inverse(X1))
| ~ sum(X0,X1,additive_identity) ),
inference(resolution,[],[f95,f6]) ).
fof(f46721,plain,
! [X0,X1] :
( sum(multiply(X0,X1),X0,additive_identity)
| ~ sum(X1,X0,additive_identity) ),
inference(superposition,[],[f14696,f9367]) ).
fof(f9367,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(resolution,[],[f9307,f1]) ).
fof(f9307,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = multiply(X1,X0) ),
inference(resolution,[],[f9300,f2751]) ).
fof(f2751,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = X0 ),
inference(resolution,[],[f2711,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ sum(X1,additive_inverse(X1),X0)
| additive_identity = X0 ),
inference(resolution,[],[f16,f6]) ).
fof(f2711,plain,
! [X2,X0,X1] :
( sum(X2,additive_inverse(X1),X0)
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f164,f2]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,X2,X3)
| sum(X3,additive_inverse(X2),X1) ),
inference(resolution,[],[f8,f6]) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X1,X3,X4)
| ~ sum(X0,X4,X5)
| ~ sum(X0,X1,X2)
| sum(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f9300,plain,
! [X0,X1] :
( sum(multiply(X1,X0),X1,X1)
| ~ sum(X0,X1,X1) ),
inference(resolution,[],[f3916,f3]) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f3916,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X0,X0)
| sum(X2,X0,X0) ),
inference(resolution,[],[f419,f18]) ).
fof(f18,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_squared_is_x) ).
fof(f419,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X3,X4)
| ~ product(X0,X1,X2)
| ~ sum(X1,X3,X0)
| sum(X2,X4,X0) ),
inference(resolution,[],[f12,f18]) ).
fof(f12,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ product(X0,X8,X9)
| ~ product(X0,X1,X6)
| ~ product(X0,X3,X7)
| ~ sum(X1,X3,X8)
| sum(X6,X7,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f14696,plain,
! [X2,X0,X1] :
( sum(multiply(X1,X0),X1,multiply(X1,X2))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f4979,f3]) ).
fof(f4979,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X0,X3)
| sum(X2,X0,multiply(X0,X3)) ),
inference(resolution,[],[f420,f18]) ).
fof(f420,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X4)
| ~ product(X0,X1,X2)
| ~ sum(X1,X3,X5)
| sum(X2,X4,multiply(X0,X5)) ),
inference(resolution,[],[f12,f3]) ).
fof(f47364,plain,
! [X0,X1] :
( sum(multiply(X1,X0),X0,additive_identity)
| ~ sum(X1,X0,additive_identity) ),
inference(superposition,[],[f14807,f9887]) ).
fof(f9887,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(resolution,[],[f9817,f1]) ).
fof(f9817,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = multiply(X0,X1) ),
inference(resolution,[],[f9554,f2751]) ).
fof(f9554,plain,
! [X0,X1] :
( sum(multiply(X0,X1),X1,X1)
| ~ sum(X0,X1,X1) ),
inference(resolution,[],[f4379,f3]) ).
fof(f4379,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X1,X1)
| sum(X2,X1,X1) ),
inference(resolution,[],[f722,f18]) ).
fof(f722,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| ~ sum(X0,X3,X1)
| sum(X2,X4,X1) ),
inference(resolution,[],[f14,f18]) ).
fof(f14,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ product(X8,X0,X9)
| ~ product(X1,X0,X6)
| ~ product(X3,X0,X7)
| ~ sum(X1,X3,X8)
| sum(X6,X7,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
fof(f14807,plain,
! [X2,X0,X1] :
( sum(multiply(X0,X1),X1,multiply(X2,X1))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f5358,f3]) ).
fof(f5358,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X1,X3)
| sum(X2,X1,multiply(X3,X1)) ),
inference(resolution,[],[f723,f18]) ).
fof(f723,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| ~ sum(X0,X3,X5)
| sum(X2,X4,multiply(X5,X1)) ),
inference(resolution,[],[f14,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 : Tue Apr 30 02:05:17 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (26475)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (26478)WARNING: value z3 for option sas not known
% 0.14/0.38 % (26476)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (26479)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (26477)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 % (26478)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 % (26480)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 % (26481)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 % (26482)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]
% 0.14/0.38 TRYING [2]
% 0.14/0.40 TRYING [4]
% 0.20/0.40 TRYING [3]
% 0.20/0.45 TRYING [4]
% 0.20/0.45 TRYING [5]
% 0.20/0.56 TRYING [5]
% 0.20/0.56 TRYING [6]
% 2.99/0.82 TRYING [7]
% 2.99/0.86 TRYING [6]
% 7.33/1.41 TRYING [8]
% 7.84/1.49 TRYING [1]
% 7.84/1.49 TRYING [2]
% 7.84/1.49 TRYING [3]
% 7.84/1.50 TRYING [4]
% 8.10/1.53 TRYING [5]
% 8.31/1.58 TRYING [7]
% 8.98/1.63 TRYING [6]
% 10.96/1.95 TRYING [7]
% 12.49/2.19 % (26478)First to succeed.
% 12.49/2.19 % (26478)Refutation found. Thanks to Tanya!
% 12.49/2.19 % SZS status Unsatisfiable for theBenchmark
% 12.49/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 12.49/2.19 % (26478)------------------------------
% 12.49/2.19 % (26478)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 12.49/2.19 % (26478)Termination reason: Refutation
% 12.49/2.19
% 12.49/2.19 % (26478)Memory used [KB]: 13005
% 12.49/2.19 % (26478)Time elapsed: 1.811 s
% 12.49/2.19 % (26478)Instructions burned: 6318 (million)
% 12.49/2.19 % (26478)------------------------------
% 12.49/2.19 % (26478)------------------------------
% 12.49/2.19 % (26475)Success in time 1.817 s
%------------------------------------------------------------------------------