TSTP Solution File: SYN069+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN069+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 18:02:04 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 7 unt; 0 def)
% Number of atoms : 160 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 167 ( 55 ~; 49 |; 54 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 71 ( 53 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f65,plain,
$false,
inference(resolution,[],[f64,f42]) ).
fof(f42,plain,
~ big_k(sK2(sK4)),
inference(resolution,[],[f41,f28]) ).
fof(f28,plain,
! [X0] :
( ~ big_l(X0)
| ~ big_k(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ~ big_k(X0)
| ~ big_l(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
~ ? [X0] :
( big_k(X0)
& big_l(X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
~ ? [X1] :
( big_k(X1)
& big_l(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel45_2) ).
fof(f41,plain,
big_l(sK2(sK4)),
inference(resolution,[],[f37,f40]) ).
fof(f40,plain,
big_h(sK4,sK2(sK4)),
inference(resolution,[],[f27,f36]) ).
fof(f36,plain,
big_f(sK4),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ! [X1] :
( big_j(sK4,X1)
| ~ big_h(sK4,X1)
| ~ big_g(X1) )
& ! [X2] :
( big_l(X2)
| ~ big_h(sK4,X2) )
& big_f(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f13,f24]) ).
fof(f24,plain,
( ? [X0] :
( ! [X1] :
( big_j(X0,X1)
| ~ big_h(X0,X1)
| ~ big_g(X1) )
& ! [X2] :
( big_l(X2)
| ~ big_h(X0,X2) )
& big_f(X0) )
=> ( ! [X1] :
( big_j(sK4,X1)
| ~ big_h(sK4,X1)
| ~ big_g(X1) )
& ! [X2] :
( big_l(X2)
| ~ big_h(sK4,X2) )
& big_f(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0] :
( ! [X1] :
( big_j(X0,X1)
| ~ big_h(X0,X1)
| ~ big_g(X1) )
& ! [X2] :
( big_l(X2)
| ~ big_h(X0,X2) )
& big_f(X0) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
? [X0] :
( ! [X1] :
( big_j(X0,X1)
| ~ big_h(X0,X1)
| ~ big_g(X1) )
& ! [X2] :
( big_l(X2)
| ~ big_h(X0,X2) )
& big_f(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ( big_h(X0,X1)
& big_g(X1) )
=> big_j(X0,X1) )
& ! [X2] :
( big_h(X0,X2)
=> big_l(X2) )
& big_f(X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
? [X0] :
( ! [X2] :
( ( big_h(X0,X2)
& big_g(X2) )
=> big_j(X0,X2) )
& ! [X1] :
( big_h(X0,X1)
=> big_l(X1) )
& big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel45_3) ).
fof(f27,plain,
! [X0] :
( ~ big_f(X0)
| big_h(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ( big_h(X0,sK2(X0))
& big_g(sK2(X0)) )
| ~ big_f(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f8,f17]) ).
fof(f17,plain,
! [X0] :
( ? [X1] :
( big_h(X0,X1)
& big_g(X1) )
=> ( big_h(X0,sK2(X0))
& big_g(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X0] :
( ? [X1] :
( big_h(X0,X1)
& big_g(X1) )
| ~ big_f(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ? [X0] :
( ~ ? [X1] :
( big_h(X0,X1)
& big_g(X1) )
& big_f(X0) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
? [X0] :
( ~ ? [X1] :
( big_h(X0,X1)
& big_g(X1) )
& big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel45) ).
fof(f37,plain,
! [X2] :
( ~ big_h(sK4,X2)
| big_l(X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f64,plain,
! [X0] : big_k(X0),
inference(subsumption_resolution,[],[f63,f45]) ).
fof(f45,plain,
! [X0] :
( sP0(sK4)
| big_k(X0) ),
inference(resolution,[],[f43,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ sP1(X0)
| big_k(X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ! [X1] :
( big_k(X1)
& big_h(X0,X1)
& big_g(X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ! [X2] :
( big_k(X2)
& big_h(X0,X2)
& big_g(X2) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ! [X2] :
( big_k(X2)
& big_h(X0,X2)
& big_g(X2) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f43,plain,
( sP1(sK4)
| sP0(sK4) ),
inference(resolution,[],[f35,f36]) ).
fof(f35,plain,
! [X0] :
( ~ big_f(X0)
| sP0(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( sP1(X0)
| sP0(X0)
| ~ big_f(X0) ),
inference(definition_folding,[],[f11,f15,f14]) ).
fof(f14,plain,
! [X0] :
( ? [X1] :
( ~ big_j(X0,X1)
& big_h(X0,X1)
& big_g(X1) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
! [X0] :
( ! [X2] :
( big_k(X2)
& big_h(X0,X2)
& big_g(X2) )
| ? [X1] :
( ~ big_j(X0,X1)
& big_h(X0,X1)
& big_g(X1) )
| ~ big_f(X0) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0] :
( ! [X2] :
( big_k(X2)
& big_h(X0,X2)
& big_g(X2) )
| ? [X1] :
( ~ big_j(X0,X1)
& big_h(X0,X1)
& big_g(X1) )
| ~ big_f(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ( ! [X1] :
( ( big_h(X0,X1)
& big_g(X1) )
=> big_j(X0,X1) )
& big_f(X0) )
=> ! [X2] :
( big_k(X2)
& big_h(X0,X2)
& big_g(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel45_1) ).
fof(f63,plain,
! [X0] :
( big_k(X0)
| ~ sP0(sK4) ),
inference(resolution,[],[f62,f34]) ).
fof(f34,plain,
! [X0] :
( ~ big_j(X0,sK3(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( ~ big_j(X0,sK3(X0))
& big_h(X0,sK3(X0))
& big_g(sK3(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f21,f22]) ).
fof(f22,plain,
! [X0] :
( ? [X1] :
( ~ big_j(X0,X1)
& big_h(X0,X1)
& big_g(X1) )
=> ( ~ big_j(X0,sK3(X0))
& big_h(X0,sK3(X0))
& big_g(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( ~ big_j(X0,X1)
& big_h(X0,X1)
& big_g(X1) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f62,plain,
! [X0] :
( big_j(sK4,sK3(sK4))
| big_k(X0) ),
inference(subsumption_resolution,[],[f60,f54]) ).
fof(f54,plain,
big_g(sK3(sK4)),
inference(resolution,[],[f48,f42]) ).
fof(f48,plain,
! [X0] :
( big_k(X0)
| big_g(sK3(sK4)) ),
inference(resolution,[],[f45,f32]) ).
fof(f32,plain,
! [X0] :
( ~ sP0(X0)
| big_g(sK3(X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f60,plain,
! [X0] :
( big_k(X0)
| big_j(sK4,sK3(sK4))
| ~ big_g(sK3(sK4)) ),
inference(resolution,[],[f47,f38]) ).
fof(f38,plain,
! [X1] :
( ~ big_h(sK4,X1)
| big_j(sK4,X1)
| ~ big_g(X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f47,plain,
! [X0] :
( big_h(sK4,sK3(sK4))
| big_k(X0) ),
inference(resolution,[],[f45,f33]) ).
fof(f33,plain,
! [X0] :
( ~ sP0(X0)
| big_h(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN069+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n003.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 : Tue Apr 30 01:54:03 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (19843)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (19851)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 % (19847)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (19850)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 % (19849)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 % (19848)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.39 Detected minimum model sizes of [1,1]
% 0.14/0.39 Detected maximum model sizes of [max,1]
% 0.14/0.39 Detected minimum model sizes of [1,1]
% 0.14/0.39 Detected maximum model sizes of [max,1]
% 0.14/0.39 TRYING [1,1]
% 0.14/0.39 TRYING [1,1]
% 0.14/0.39 TRYING [2,1]
% 0.14/0.39 TRYING [2,1]
% 0.14/0.39 % (19850)First to succeed.
% 0.14/0.39 % (19852)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 TRYING [3,1]
% 0.14/0.39 TRYING [3,1]
% 0.14/0.39 TRYING [4,1]
% 0.14/0.39 TRYING [4,1]
% 0.14/0.39 % (19846)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 TRYING [5,1]
% 0.14/0.39 TRYING [5,1]
% 0.14/0.39 % (19851)Also succeeded, but the first one will report.
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [6,1]
% 0.14/0.39 TRYING [6,1]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [7,1]
% 0.14/0.39 TRYING [7,1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (19852)Also succeeded, but the first one will report.
% 0.14/0.39 % (19850)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (19850)------------------------------
% 0.14/0.39 % (19850)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (19850)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (19850)Memory used [KB]: 751
% 0.14/0.39 % (19850)Time elapsed: 0.004 s
% 0.14/0.39 % (19850)Instructions burned: 4 (million)
% 0.14/0.39 % (19850)------------------------------
% 0.14/0.39 % (19850)------------------------------
% 0.14/0.39 % (19843)Success in time 0.019 s
%------------------------------------------------------------------------------