TSTP Solution File: SYN939+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN939+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 18:11:11 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 101 ( 38 ~; 34 |; 22 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 65 ( 53 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,plain,
$false,
inference(subsumption_resolution,[],[f24,f23]) ).
fof(f23,plain,
! [X0] : p(f(X0)),
inference(resolution,[],[f22,f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| p(f(X1)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( ( ~ p(X0)
& p(f(X1)) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
! [X3,X4] :
( ( ~ p(X3)
& p(f(X4)) )
| ~ sP0(X3,X4) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
! [X3,X4] :
( ( ~ p(X3)
& p(f(X4)) )
| ~ sP0(X3,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
! [X0,X1] : sP0(f(X0),X1),
inference(resolution,[],[f21,f13]) ).
fof(f13,plain,
! [X4] : q(f(X4)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
( ! [X2,X3] :
( ~ q(X2)
| ( ( ~ r(sK1)
| ~ r(sK2) )
& r(X3) )
| sP0(X2,X3) )
& ! [X4] : q(f(X4)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f8,f9]) ).
fof(f9,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ q(X2)
| ( ( ~ r(X0)
| ~ r(X1) )
& r(X3) )
| sP0(X2,X3) )
& ! [X4] : q(f(X4)) )
=> ( ! [X3,X2] :
( ~ q(X2)
| ( ( ~ r(sK1)
| ~ r(sK2) )
& r(X3) )
| sP0(X2,X3) )
& ! [X4] : q(f(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ q(X2)
| ( ( ~ r(X0)
| ~ r(X1) )
& r(X3) )
| sP0(X2,X3) )
& ! [X4] : q(f(X4)) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
? [X0,X1] :
( ! [X3,X4] :
( ~ q(X3)
| ( ( ~ r(X0)
| ~ r(X1) )
& r(X4) )
| sP0(X3,X4) )
& ! [X2] : q(f(X2)) ),
inference(definition_folding,[],[f3,f4]) ).
fof(f3,plain,
? [X0,X1] :
( ! [X3,X4] :
( ~ q(X3)
| ( ( ~ r(X0)
| ~ r(X1) )
& r(X4) )
| ( ~ p(X3)
& p(f(X4)) ) )
& ! [X2] : q(f(X2)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] : q(f(X2))
=> ? [X3,X4] :
( q(X3)
& ( r(X4)
=> ( r(X0)
& r(X1) ) )
& ( p(f(X4))
=> p(X3) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( ! [X2] : q(f(X2))
=> ? [X3,X4] :
( q(X3)
& ( r(X4)
=> ( r(X0)
& r(X1) ) )
& ( p(f(X4))
=> p(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f21,plain,
! [X0,X1] :
( ~ q(X0)
| sP0(X0,X1) ),
inference(subsumption_resolution,[],[f20,f19]) ).
fof(f19,plain,
! [X0] : r(X0),
inference(subsumption_resolution,[],[f18,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ p(f(X0))
| r(X1) ),
inference(resolution,[],[f12,f16]) ).
fof(f16,plain,
! [X0,X1] :
( sP0(f(X1),X0)
| r(X0) ),
inference(resolution,[],[f14,f13]) ).
fof(f14,plain,
! [X2,X3] :
( ~ q(X2)
| r(X3)
| sP0(X2,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0] :
( p(f(X0))
| r(X0) ),
inference(resolution,[],[f11,f16]) ).
fof(f20,plain,
! [X0,X1] :
( ~ r(sK1)
| ~ q(X0)
| sP0(X0,X1) ),
inference(resolution,[],[f19,f15]) ).
fof(f15,plain,
! [X2,X3] :
( ~ r(sK2)
| ~ r(sK1)
| ~ q(X2)
| sP0(X2,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f24,plain,
! [X0] : ~ p(f(X0)),
inference(resolution,[],[f22,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN939+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 01:47:02 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (3541)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (3542)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (3544)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)
% 0.15/0.38 % (3543)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (3545)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (3546)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (3547)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (3548)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 Detected minimum model sizes of [1,1]
% 0.15/0.38 Detected maximum model sizes of [max,2]
% 0.15/0.38 Detected minimum model sizes of [1,1]
% 0.15/0.38 Detected maximum model sizes of [max,2]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (3546)First to succeed.
% 0.15/0.38 TRYING [2,1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2,1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2,2]
% 0.15/0.38 TRYING [2,2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3,2]
% 0.15/0.38 TRYING [3,2]
% 0.15/0.38 % (3542)Also succeeded, but the first one will report.
% 0.15/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.38 % (3543)Refutation not found, incomplete strategy% (3543)------------------------------
% 0.15/0.38 % (3543)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (3543)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38 % (3543)Memory used [KB]: 726
% 0.15/0.38 % (3543)Time elapsed: 0.004 s
% 0.15/0.38 % (3543)Instructions burned: 4 (million)
% 0.15/0.38 % (3543)------------------------------
% 0.15/0.38 % (3543)------------------------------
% 0.15/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.38 % (3545)Refutation not found, incomplete strategy% (3545)------------------------------
% 0.15/0.38 % (3545)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (3545)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38 % (3545)Memory used [KB]: 727
% 0.15/0.38 % (3545)Time elapsed: 0.004 s
% 0.15/0.38 % (3545)Instructions burned: 4 (million)
% 0.15/0.38 % (3545)------------------------------
% 0.15/0.38 % (3545)------------------------------
% 0.15/0.39 % (3544)Also succeeded, but the first one will report.
% 0.15/0.39 % (3546)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (3546)------------------------------
% 0.15/0.39 % (3546)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (3546)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (3546)Memory used [KB]: 745
% 0.15/0.39 % (3546)Time elapsed: 0.003 s
% 0.15/0.39 % (3546)Instructions burned: 3 (million)
% 0.15/0.39 % (3546)------------------------------
% 0.15/0.39 % (3546)------------------------------
% 0.15/0.39 % (3541)Success in time 0.018 s
%------------------------------------------------------------------------------