TSTP Solution File: SWV409+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV409+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 16:46:43 EDT 2024
% Result : Theorem 0.11s 0.33s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 7 unt; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 203 ( 91 ~; 69 |; 34 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 102 ( 84 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1586,plain,
$false,
inference(resolution,[],[f1583,f1549]) ).
fof(f1549,plain,
less_than(sK3(sK0,sK1),sK2),
inference(resolution,[],[f1547,f65]) ).
fof(f65,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).
fof(f1547,plain,
~ less_than(sK2,sK3(sK0,sK1)),
inference(resolution,[],[f1546,f51]) ).
fof(f51,plain,
contains_slb(sK0,sK1),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ! [X3] :
( ~ less_than(sK2,X3)
| ~ pair_in_list(update_slb(sK0,sK2),sK1,X3) )
& ~ pair_in_list(update_slb(sK0,sK2),sK1,sK2)
& strictly_less_than(sK1,sK2)
& contains_slb(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f25,f39]) ).
fof(f39,plain,
( ? [X0,X1,X2] :
( ! [X3] :
( ~ less_than(X2,X3)
| ~ pair_in_list(update_slb(X0,X2),X1,X3) )
& ~ pair_in_list(update_slb(X0,X2),X1,X2)
& strictly_less_than(X1,X2)
& contains_slb(X0,X1) )
=> ( ! [X3] :
( ~ less_than(sK2,X3)
| ~ pair_in_list(update_slb(sK0,sK2),sK1,X3) )
& ~ pair_in_list(update_slb(sK0,sK2),sK1,sK2)
& strictly_less_than(sK1,sK2)
& contains_slb(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0,X1,X2] :
( ! [X3] :
( ~ less_than(X2,X3)
| ~ pair_in_list(update_slb(X0,X2),X1,X3) )
& ~ pair_in_list(update_slb(X0,X2),X1,X2)
& strictly_less_than(X1,X2)
& contains_slb(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
? [X0,X1,X2] :
( ! [X3] :
( ~ less_than(X2,X3)
| ~ pair_in_list(update_slb(X0,X2),X1,X3) )
& ~ pair_in_list(update_slb(X0,X2),X1,X2)
& strictly_less_than(X1,X2)
& contains_slb(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,negated_conjecture,
~ ! [X0,X1,X2] :
( ( strictly_less_than(X1,X2)
& contains_slb(X0,X1) )
=> ( ? [X3] :
( less_than(X2,X3)
& pair_in_list(update_slb(X0,X2),X1,X3) )
| pair_in_list(update_slb(X0,X2),X1,X2) ) ),
inference(negated_conjecture,[],[f22]) ).
fof(f22,conjecture,
! [X0,X1,X2] :
( ( strictly_less_than(X1,X2)
& contains_slb(X0,X1) )
=> ( ? [X3] :
( less_than(X2,X3)
& pair_in_list(update_slb(X0,X2),X1,X3) )
| pair_in_list(update_slb(X0,X2),X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_co) ).
fof(f1546,plain,
( ~ contains_slb(sK0,sK1)
| ~ less_than(sK2,sK3(sK0,sK1)) ),
inference(duplicate_literal_removal,[],[f1545]) ).
fof(f1545,plain,
( ~ less_than(sK2,sK3(sK0,sK1))
| ~ less_than(sK2,sK3(sK0,sK1))
| ~ contains_slb(sK0,sK1) ),
inference(resolution,[],[f1543,f55]) ).
fof(f55,plain,
! [X0,X1] :
( pair_in_list(X0,X1,sK3(X0,X1))
| ~ contains_slb(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( pair_in_list(X0,X1,sK3(X0,X1))
| ~ contains_slb(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f26,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X2] : pair_in_list(X0,X1,X2)
=> pair_in_list(X0,X1,sK3(X0,X1)) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X2] : pair_in_list(X0,X1,X2)
| ~ contains_slb(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( contains_slb(X0,X1)
=> ? [X2] : pair_in_list(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_li4647) ).
fof(f1543,plain,
! [X0] :
( ~ pair_in_list(sK0,sK1,X0)
| ~ less_than(sK2,sK3(sK0,sK1))
| ~ less_than(sK2,X0) ),
inference(resolution,[],[f1448,f52]) ).
fof(f52,plain,
strictly_less_than(sK1,sK2),
inference(cnf_transformation,[],[f40]) ).
fof(f1448,plain,
! [X0] :
( ~ strictly_less_than(sK1,sK2)
| ~ less_than(sK2,X0)
| ~ less_than(sK2,sK3(sK0,sK1))
| ~ pair_in_list(sK0,sK1,X0) ),
inference(resolution,[],[f1447,f58]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( less_than(X3,sK4(X0,X1,X3))
| ~ less_than(X3,X2)
| ~ strictly_less_than(X1,X3)
| ~ pair_in_list(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( ( less_than(X3,sK4(X0,X1,X3))
& pair_in_list(update_slb(X0,X3),X1,sK4(X0,X1,X3)) )
| ~ less_than(X3,X2)
| ~ strictly_less_than(X1,X3)
| ~ pair_in_list(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f30,f43]) ).
fof(f43,plain,
! [X0,X1,X3] :
( ? [X4] :
( less_than(X3,X4)
& pair_in_list(update_slb(X0,X3),X1,X4) )
=> ( less_than(X3,sK4(X0,X1,X3))
& pair_in_list(update_slb(X0,X3),X1,sK4(X0,X1,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( less_than(X3,X4)
& pair_in_list(update_slb(X0,X3),X1,X4) )
| ~ less_than(X3,X2)
| ~ strictly_less_than(X1,X3)
| ~ pair_in_list(X0,X1,X2) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( less_than(X3,X4)
& pair_in_list(update_slb(X0,X3),X1,X4) )
| ~ less_than(X3,X2)
| ~ strictly_less_than(X1,X3)
| ~ pair_in_list(X0,X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( ( less_than(X3,X2)
& strictly_less_than(X1,X3)
& pair_in_list(X0,X1,X2) )
=> ? [X4] :
( less_than(X3,X4)
& pair_in_list(update_slb(X0,X3),X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_l49) ).
fof(f1447,plain,
( ~ less_than(sK2,sK4(sK0,sK1,sK2))
| ~ less_than(sK2,sK3(sK0,sK1)) ),
inference(resolution,[],[f1446,f51]) ).
fof(f1446,plain,
( ~ contains_slb(sK0,sK1)
| ~ less_than(sK2,sK4(sK0,sK1,sK2))
| ~ less_than(sK2,sK3(sK0,sK1)) ),
inference(resolution,[],[f1444,f55]) ).
fof(f1444,plain,
! [X0] :
( ~ pair_in_list(sK0,sK1,X0)
| ~ less_than(sK2,X0)
| ~ less_than(sK2,sK4(sK0,sK1,sK2)) ),
inference(resolution,[],[f1440,f52]) ).
fof(f1440,plain,
! [X0] :
( ~ strictly_less_than(sK1,sK2)
| ~ less_than(sK2,X0)
| ~ pair_in_list(sK0,sK1,X0)
| ~ less_than(sK2,sK4(sK0,sK1,sK2)) ),
inference(resolution,[],[f57,f54]) ).
fof(f54,plain,
! [X3] :
( ~ pair_in_list(update_slb(sK0,sK2),sK1,X3)
| ~ less_than(sK2,X3) ),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( pair_in_list(update_slb(X0,X3),X1,sK4(X0,X1,X3))
| ~ less_than(X3,X2)
| ~ strictly_less_than(X1,X3)
| ~ pair_in_list(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f1583,plain,
~ less_than(sK3(sK0,sK1),sK2),
inference(resolution,[],[f1548,f51]) ).
fof(f1548,plain,
( ~ contains_slb(sK0,sK1)
| ~ less_than(sK3(sK0,sK1),sK2) ),
inference(resolution,[],[f1547,f610]) ).
fof(f610,plain,
( less_than(sK2,sK3(sK0,sK1))
| ~ less_than(sK3(sK0,sK1),sK2)
| ~ contains_slb(sK0,sK1) ),
inference(resolution,[],[f609,f55]) ).
fof(f609,plain,
! [X0] :
( ~ pair_in_list(sK0,sK1,X0)
| less_than(sK2,X0)
| ~ less_than(X0,sK2) ),
inference(resolution,[],[f603,f68]) ).
fof(f68,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) )
& ( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
| ~ strictly_less_than(X0,X1) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) )
& ( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
| ~ strictly_less_than(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( strictly_less_than(X0,X1)
<=> ( ~ less_than(X1,X0)
& less_than(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stricly_smaller_definition) ).
fof(f603,plain,
! [X0] :
( ~ strictly_less_than(X0,sK2)
| ~ pair_in_list(sK0,sK1,X0) ),
inference(resolution,[],[f600,f52]) ).
fof(f600,plain,
! [X0] :
( ~ strictly_less_than(sK1,sK2)
| ~ strictly_less_than(X0,sK2)
| ~ pair_in_list(sK0,sK1,X0) ),
inference(resolution,[],[f56,f53]) ).
fof(f53,plain,
~ pair_in_list(update_slb(sK0,sK2),sK1,sK2),
inference(cnf_transformation,[],[f40]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( pair_in_list(update_slb(X0,X3),X1,X3)
| ~ strictly_less_than(X2,X3)
| ~ strictly_less_than(X1,X3)
| ~ pair_in_list(X0,X1,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( pair_in_list(update_slb(X0,X3),X1,X3)
| ~ strictly_less_than(X2,X3)
| ~ strictly_less_than(X1,X3)
| ~ pair_in_list(X0,X1,X2) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( pair_in_list(update_slb(X0,X3),X1,X3)
| ~ strictly_less_than(X2,X3)
| ~ strictly_less_than(X1,X3)
| ~ pair_in_list(X0,X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(X2,X3)
& strictly_less_than(X1,X3)
& pair_in_list(X0,X1,X2) )
=> pair_in_list(update_slb(X0,X3),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_l48) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SWV409+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue Apr 30 04:45:06 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.28 % (8544)Running in auto input_syntax mode. Trying TPTP
% 0.07/0.29 % (8549)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)
% 0.07/0.29 % (8545)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.07/0.29 % (8550)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)
% 0.07/0.29 % (8547)WARNING: value z3 for option sas not known
% 0.07/0.29 % (8548)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.07/0.29 % (8546)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.07/0.29 % (8547)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)
% 0.07/0.29 % (8551)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)
% 0.07/0.29 TRYING [1]
% 0.07/0.29 TRYING [2]
% 0.07/0.30 TRYING [3]
% 0.07/0.30 TRYING [1]
% 0.07/0.30 TRYING [2]
% 0.11/0.31 TRYING [4]
% 0.11/0.32 TRYING [3]
% 0.11/0.32 TRYING [1]
% 0.11/0.32 TRYING [2]
% 0.11/0.32 TRYING [3]
% 0.11/0.33 % (8550)First to succeed.
% 0.11/0.33 % (8550)Refutation found. Thanks to Tanya!
% 0.11/0.33 % SZS status Theorem for theBenchmark
% 0.11/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.33 % (8550)------------------------------
% 0.11/0.33 % (8550)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.33 % (8550)Termination reason: Refutation
% 0.11/0.33
% 0.11/0.33 % (8550)Memory used [KB]: 1082
% 0.11/0.33 % (8550)Time elapsed: 0.039 s
% 0.11/0.33 % (8550)Instructions burned: 112 (million)
% 0.11/0.33 % (8550)------------------------------
% 0.11/0.33 % (8550)------------------------------
% 0.11/0.33 % (8544)Success in time 0.053 s
%------------------------------------------------------------------------------