TSTP Solution File: SWV488+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV488+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 18:59:20 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 16 unt; 0 def)
% Number of atoms : 168 ( 57 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 202 ( 68 ~; 63 |; 54 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 56 ( 48 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f160,plain,
$false,
inference(subsumption_resolution,[],[f159,f54]) ).
fof(f54,plain,
real_zero != real_one,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
real_zero != real_one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_constants) ).
fof(f159,plain,
real_zero = real_one,
inference(forward_demodulation,[],[f158,f80]) ).
fof(f80,plain,
real_zero = a(sK1,sK1),
inference(backward_demodulation,[],[f77,f65]) ).
fof(f65,plain,
sK2 = sK1,
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( real_zero = a(sK2,sK1)
& int_leq(sK2,sK1)
& int_leq(int_one,sK2)
& sK2 = sK1
& int_leq(sK1,n) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f43,f44]) ).
fof(f44,plain,
( ? [X0,X1] :
( real_zero = a(X1,X0)
& int_leq(X1,X0)
& int_leq(int_one,X1)
& X0 = X1
& int_leq(X0,n) )
=> ( real_zero = a(sK2,sK1)
& int_leq(sK2,sK1)
& int_leq(int_one,sK2)
& sK2 = sK1
& int_leq(sK1,n) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0,X1] :
( real_zero = a(X1,X0)
& int_leq(X1,X0)
& int_leq(int_one,X1)
& X0 = X1
& int_leq(X0,n) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
? [X1,X0] :
( real_zero = a(X0,X1)
& int_leq(X0,X1)
& int_leq(int_one,X0)
& X0 = X1
& int_leq(X1,n) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
? [X0,X1] :
( real_zero = a(X0,X1)
& X0 = X1
& int_leq(X0,X1)
& int_leq(X1,n)
& int_leq(int_one,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1] :
( ( int_leq(X0,X1)
& int_leq(X1,n)
& int_leq(int_one,X0) )
=> ( X0 = X1
=> real_zero != a(X0,X1) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1] :
( ( int_leq(X0,X1)
& int_leq(X1,n)
& int_leq(int_one,X0) )
=> ( X0 = X1
=> real_zero != a(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lti) ).
fof(f77,plain,
real_zero = a(sK2,sK1),
inference(forward_demodulation,[],[f75,f76]) ).
fof(f76,plain,
real_zero = sF3,
inference(definition_folding,[],[f68,f75]) ).
fof(f68,plain,
real_zero = a(sK2,sK1),
inference(cnf_transformation,[],[f45]) ).
fof(f75,plain,
a(sK2,sK1) = sF3,
introduced(function_definition,[]) ).
fof(f158,plain,
real_one = a(sK1,sK1),
inference(subsumption_resolution,[],[f153,f79]) ).
fof(f79,plain,
int_leq(sK1,sK1),
inference(backward_demodulation,[],[f67,f65]) ).
fof(f67,plain,
int_leq(sK2,sK1),
inference(cnf_transformation,[],[f45]) ).
fof(f153,plain,
( real_one = a(sK1,sK1)
| ~ int_leq(sK1,sK1) ),
inference(resolution,[],[f152,f78]) ).
fof(f78,plain,
int_leq(int_one,sK1),
inference(backward_demodulation,[],[f66,f65]) ).
fof(f66,plain,
int_leq(int_one,sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f152,plain,
! [X2] :
( ~ int_leq(int_one,X2)
| real_one = a(X2,X2)
| ~ int_leq(X2,sK1) ),
inference(subsumption_resolution,[],[f150,f78]) ).
fof(f150,plain,
! [X2] :
( ~ int_leq(int_one,X2)
| real_one = a(X2,X2)
| ~ int_leq(int_one,sK1)
| ~ int_leq(X2,sK1) ),
inference(resolution,[],[f147,f64]) ).
fof(f64,plain,
int_leq(sK1,n),
inference(cnf_transformation,[],[f45]) ).
fof(f147,plain,
! [X4,X5] :
( ~ int_leq(X4,n)
| ~ int_leq(int_one,X5)
| real_one = a(X5,X5)
| ~ int_leq(int_one,X4)
| ~ int_leq(X5,X4) ),
inference(subsumption_resolution,[],[f146,f78]) ).
fof(f146,plain,
! [X4,X5] :
( ~ int_leq(int_one,X4)
| real_one = a(X5,X5)
| ~ int_leq(X4,n)
| ~ int_leq(int_one,sK1)
| ~ int_leq(X5,X4)
| ~ int_leq(int_one,X5) ),
inference(resolution,[],[f50,f64]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ int_leq(X1,n)
| ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X1)
| real_one = a(X2,X2)
| ~ int_leq(int_one,X2)
| ~ int_leq(X2,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ~ int_leq(X1,n)
| ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X1)
| ( ! [X2] :
( ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| real_one = a(X2,X2) )
& ! [X3] :
( plus(X0,X3) != X1
| ~ int_less(int_zero,X3)
| ! [X4] :
( lu(plus(X4,X3),X4) = a(plus(X4,X3),X4)
| ~ int_leq(X4,X0)
| ~ int_leq(int_one,X4) ) )
& ! [X5] :
( ! [X6] :
( ~ int_leq(X6,X1)
| ~ int_leq(int_one,X6)
| real_zero = a(X6,plus(X6,X5)) )
| plus(X1,X5) != X0
| ~ int_less(int_zero,X5) ) ) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( ~ int_leq(X0,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X0)
| ( ! [X4] :
( ~ int_leq(X4,X1)
| ~ int_leq(int_one,X4)
| real_one = a(X4,X4) )
& ! [X5] :
( plus(X1,X5) != X0
| ~ int_less(int_zero,X5)
| ! [X6] :
( a(plus(X6,X5),X6) = lu(plus(X6,X5),X6)
| ~ int_leq(X6,X1)
| ~ int_leq(int_one,X6) ) )
& ! [X2] :
( ! [X3] :
( ~ int_leq(X3,X0)
| ~ int_leq(int_one,X3)
| real_zero = a(X3,plus(X3,X2)) )
| plus(X0,X2) != X1
| ~ int_less(int_zero,X2) ) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( ( ! [X5] :
( ! [X6] :
( a(plus(X6,X5),X6) = lu(plus(X6,X5),X6)
| ~ int_leq(int_one,X6)
| ~ int_leq(X6,X1) )
| plus(X1,X5) != X0
| ~ int_less(int_zero,X5) )
& ! [X4] :
( real_one = a(X4,X4)
| ~ int_leq(X4,X1)
| ~ int_leq(int_one,X4) )
& ! [X2] :
( ! [X3] :
( real_zero = a(X3,plus(X3,X2))
| ~ int_leq(int_one,X3)
| ~ int_leq(X3,X0) )
| plus(X0,X2) != X1
| ~ int_less(int_zero,X2) ) )
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(int_one,X0)
| ~ int_leq(X0,n) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( ( int_leq(X1,n)
& int_leq(int_one,X1)
& int_leq(int_one,X0)
& int_leq(X0,n) )
=> ( ! [X5] :
( ( plus(X1,X5) = X0
& int_less(int_zero,X5) )
=> ! [X6] :
( ( int_leq(int_one,X6)
& int_leq(X6,X1) )
=> a(plus(X6,X5),X6) = lu(plus(X6,X5),X6) ) )
& ! [X4] :
( ( int_leq(X4,X1)
& int_leq(int_one,X4) )
=> real_one = a(X4,X4) )
& ! [X2] :
( ( plus(X0,X2) = X1
& int_less(int_zero,X2) )
=> ! [X3] :
( ( int_leq(int_one,X3)
& int_leq(X3,X0) )
=> real_zero = a(X3,plus(X3,X2)) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ( int_leq(X1,n)
& int_leq(int_one,X1)
& int_leq(int_one,X0)
& int_leq(X0,n) )
=> ( ! [X7] :
( ( int_less(int_zero,X7)
& plus(X0,X7) = X1 )
=> ! [X2] :
( ( int_leq(int_one,X2)
& int_leq(X2,X0) )
=> real_zero = a(X2,plus(X2,X7)) ) )
& ! [X2] :
( ( int_leq(int_one,X2)
& int_leq(X2,X1) )
=> real_one = a(X2,X2) )
& ! [X7] :
( ( int_less(int_zero,X7)
& plus(X1,X7) = X0 )
=> ! [X2] :
( ( int_leq(int_one,X2)
& int_leq(X2,X1) )
=> a(plus(X2,X7),X2) = lu(plus(X2,X7),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qil) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV488+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 19:34:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.55 % (20791)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.55 % (20814)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55 % (20799)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 % (20806)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.56 % (20799)Instruction limit reached!
% 0.20/0.56 % (20799)------------------------------
% 0.20/0.56 % (20799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (20799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (20799)Termination reason: Unknown
% 0.20/0.56 % (20799)Termination phase: Blocked clause elimination
% 0.20/0.56
% 0.20/0.56 % (20799)Memory used [KB]: 895
% 0.20/0.56 % (20799)Time elapsed: 0.005 s
% 0.20/0.56 % (20799)Instructions burned: 2 (million)
% 0.20/0.56 % (20799)------------------------------
% 0.20/0.56 % (20799)------------------------------
% 0.20/0.56 % (20807)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 TRYING [4]
% 0.20/0.57 % (20800)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57 % (20806)First to succeed.
% 0.20/0.57 % (20795)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57 % (20806)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (20806)------------------------------
% 0.20/0.57 % (20806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (20806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (20806)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (20806)Memory used [KB]: 1023
% 0.20/0.57 % (20806)Time elapsed: 0.091 s
% 0.20/0.57 % (20806)Instructions burned: 7 (million)
% 0.20/0.57 % (20806)------------------------------
% 0.20/0.57 % (20806)------------------------------
% 0.20/0.57 % (20790)Success in time 0.214 s
%------------------------------------------------------------------------------