TSTP Solution File: RNG039-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n006.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 : Wed Aug 31 18:14:32 EDT 2022
% Result : Unsatisfiable 1.38s 0.71s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 55 ( 44 unt; 0 def)
% Number of atoms : 68 ( 28 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f692,plain,
$false,
inference(subsumption_resolution,[],[f691,f361]) ).
fof(f361,plain,
b != multiply(b,a),
inference(backward_demodulation,[],[f75,f356]) ).
fof(f356,plain,
b = multiply(a,b),
inference(resolution,[],[f336,f171]) ).
fof(f171,plain,
product(a,b,b),
inference(superposition,[],[f166,f23]) ).
fof(f23,axiom,
! [X10] : multiply(X10,X10) = X10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f166,plain,
! [X0] : product(a,b,multiply(X0,b)),
inference(superposition,[],[f32,f23]) ).
fof(f32,axiom,
! [X10,X11] : product(a,multiply(b,X10),multiply(X11,X10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f336,plain,
! [X25] :
( ~ product(a,b,X25)
| multiply(a,b) = X25 ),
inference(resolution,[],[f17,f70]) ).
fof(f70,plain,
product(a,b,multiply(a,b)),
inference(backward_demodulation,[],[f58,f24]) ).
fof(f24,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f58,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
fof(f17,axiom,
! [X2,X0,X1,X4] :
( ~ product(X0,X1,X4)
| ~ product(X0,X1,X2)
| X2 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f75,plain,
multiply(a,b) != multiply(b,a),
inference(superposition,[],[f71,f25]) ).
fof(f25,axiom,
multiply(b,a) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f71,plain,
multiply(a,b) != d,
inference(backward_demodulation,[],[f60,f24]) ).
fof(f60,axiom,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f691,plain,
b = multiply(b,a),
inference(resolution,[],[f674,f529]) ).
fof(f529,plain,
! [X0,X1] :
( ~ sum(X0,X0,X1)
| b = X1 ),
inference(resolution,[],[f520,f16]) ).
fof(f16,axiom,
! [X2,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X4)
| X2 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f520,plain,
! [X10] : sum(X10,X10,b),
inference(backward_demodulation,[],[f20,f508]) ).
fof(f508,plain,
additive_identity = b,
inference(resolution,[],[f483,f214]) ).
fof(f214,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f16,f1]) ).
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f483,plain,
! [X3] : sum(X3,b,X3),
inference(superposition,[],[f63,f465]) ).
fof(f465,plain,
b = add(b,b),
inference(resolution,[],[f449,f370]) ).
fof(f370,plain,
product(add(a,b),b,add(b,b)),
inference(backward_demodulation,[],[f200,f356]) ).
fof(f200,plain,
product(add(a,b),b,add(multiply(a,b),b)),
inference(forward_demodulation,[],[f53,f24]) ).
fof(f53,axiom,
product(add(a,b),b,add(c,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f449,plain,
! [X0,X1] :
( ~ product(X0,b,X1)
| b = X1 ),
inference(resolution,[],[f440,f17]) ).
fof(f440,plain,
! [X2] : product(X2,b,b),
inference(superposition,[],[f31,f430]) ).
fof(f430,plain,
! [X0] : b = multiply(X0,b),
inference(resolution,[],[f383,f166]) ).
fof(f383,plain,
! [X25] :
( ~ product(a,b,X25)
| b = X25 ),
inference(backward_demodulation,[],[f336,f356]) ).
fof(f31,axiom,
! [X10,X11] : product(X10,multiply(X10,X11),multiply(X10,X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f63,plain,
! [X0,X1] : sum(X1,add(X0,X0),X1),
inference(superposition,[],[f2,f22]) ).
fof(f22,axiom,
! [X10] : additive_identity = add(X10,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f20,axiom,
! [X10] : sum(X10,X10,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f674,plain,
sum(a,a,multiply(b,a)),
inference(superposition,[],[f137,f618]) ).
fof(f618,plain,
a = add(a,multiply(b,a)),
inference(resolution,[],[f616,f541]) ).
fof(f541,plain,
product(a,a,add(a,multiply(b,a))),
inference(backward_demodulation,[],[f203,f521]) ).
fof(f521,plain,
! [X10] : add(X10,b) = X10,
inference(backward_demodulation,[],[f21,f508]) ).
fof(f21,axiom,
! [X10] : add(X10,additive_identity) = X10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f203,plain,
product(add(a,b),a,add(a,multiply(b,a))),
inference(forward_demodulation,[],[f56,f25]) ).
fof(f56,axiom,
product(add(a,b),a,add(a,d)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f616,plain,
! [X0] :
( ~ product(a,a,X0)
| a = X0 ),
inference(forward_demodulation,[],[f605,f524]) ).
fof(f524,plain,
! [X2] : add(b,X2) = X2,
inference(backward_demodulation,[],[f271,f508]) ).
fof(f271,plain,
! [X2] : add(additive_identity,X2) = X2,
inference(resolution,[],[f214,f18]) ).
fof(f18,axiom,
! [X10,X11] : sum(X10,add(X10,X11),X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion1) ).
fof(f605,plain,
! [X0] :
( ~ product(a,add(b,a),X0)
| a = X0 ),
inference(backward_demodulation,[],[f420,f524]) ).
fof(f420,plain,
! [X0] :
( ~ product(a,add(b,a),X0)
| add(b,a) = X0 ),
inference(resolution,[],[f368,f17]) ).
fof(f368,plain,
product(a,add(b,a),add(b,a)),
inference(backward_demodulation,[],[f196,f356]) ).
fof(f196,plain,
product(a,add(b,a),add(multiply(a,b),a)),
inference(forward_demodulation,[],[f49,f24]) ).
fof(f49,axiom,
product(a,add(b,a),add(c,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f137,plain,
! [X6,X7] : sum(add(X6,X7),X6,X7),
inference(resolution,[],[f9,f18]) ).
fof(f9,axiom,
! [X3,X0,X1] :
( ~ sum(X0,X1,X3)
| sum(X1,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 11:55:40 EDT 2022
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% 1.22/0.65 % (6768)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/29Mi)
% 1.22/0.65 % (6763)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.22/0.66 % (6754)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99966Mi)
% 1.22/0.66 % (6757)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/43Mi)
% 1.38/0.67 % (6780)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/71Mi)
% 1.38/0.67 % (6760)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 1.38/0.68 % (6762)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.38/0.68 % (6771)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/8Mi)
% 1.38/0.68 % (6762)Instruction limit reached!
% 1.38/0.68 % (6762)------------------------------
% 1.38/0.68 % (6762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.68 % (6762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.68 % (6762)Termination reason: Unknown
% 1.38/0.68 % (6762)Termination phase: Saturation
% 1.38/0.68
% 1.38/0.68 % (6762)Memory used [KB]: 5884
% 1.38/0.68 % (6762)Time elapsed: 0.005 s
% 1.38/0.68 % (6762)Instructions burned: 3 (million)
% 1.38/0.68 % (6762)------------------------------
% 1.38/0.68 % (6762)------------------------------
% 1.38/0.69 % (6756)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 1.38/0.69 % (6775)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/67Mi)
% 1.38/0.70 % (6755)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 1.38/0.70 % (6756)Instruction limit reached!
% 1.38/0.70 % (6756)------------------------------
% 1.38/0.70 % (6756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.70 % (6756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.70 % (6756)Termination reason: Unknown
% 1.38/0.70 % (6756)Termination phase: Saturation
% 1.38/0.70
% 1.38/0.70 % (6756)Memory used [KB]: 1407
% 1.38/0.70 % (6756)Time elapsed: 0.008 s
% 1.38/0.70 % (6756)Instructions burned: 4 (million)
% 1.38/0.70 % (6756)------------------------------
% 1.38/0.70 % (6756)------------------------------
% 1.38/0.70 % (6760)First to succeed.
% 1.38/0.70 % (6771)Instruction limit reached!
% 1.38/0.70 % (6771)------------------------------
% 1.38/0.70 % (6771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.70 % (6771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.70 % (6771)Termination reason: Unknown
% 1.38/0.70 % (6771)Termination phase: Saturation
% 1.38/0.70
% 1.38/0.70 % (6771)Memory used [KB]: 5884
% 1.38/0.70 % (6771)Time elapsed: 0.145 s
% 1.38/0.70 % (6771)Instructions burned: 8 (million)
% 1.38/0.70 % (6771)------------------------------
% 1.38/0.70 % (6771)------------------------------
% 1.38/0.70 % (6778)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.38/0.70 % (6769)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 1.38/0.71 % (6777)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.38/0.71 % (6760)Refutation found. Thanks to Tanya!
% 1.38/0.71 % SZS status Unsatisfiable for theBenchmark
% 1.38/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.71 % (6760)------------------------------
% 1.38/0.71 % (6760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.71 % (6760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.71 % (6760)Termination reason: Refutation
% 1.38/0.71
% 1.38/0.71 % (6760)Memory used [KB]: 1535
% 1.38/0.71 % (6760)Time elapsed: 0.127 s
% 1.38/0.71 % (6760)Instructions burned: 23 (million)
% 1.38/0.71 % (6760)------------------------------
% 1.38/0.71 % (6760)------------------------------
% 1.38/0.71 % (6618)Success in time 0.363 s
%------------------------------------------------------------------------------