TSTP Solution File: ALG270^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG270^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 : Mon May 20 18:20:46 EDT 2024
% Result : Theorem 0.23s 0.40s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 6 unt; 7 typ; 0 def)
% Number of atoms : 20 ( 19 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 218 ( 11 ~; 0 |; 3 &; 200 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 45 ( 0 ^ 33 !; 12 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
c_star: a > a > a ).
thf(func_def_5,type,
sK0: a ).
thf(func_def_6,type,
sK1: a ).
thf(func_def_7,type,
sK2: a ).
thf(func_def_8,type,
sK3: a ).
thf(f17,plain,
$false,
inference(trivial_inequality_removal,[],[f16]) ).
thf(f16,plain,
( ( c_star @ sK1 @ ( c_star @ sK0 @ ( c_star @ sK2 @ sK3 ) ) )
!= ( c_star @ sK1 @ ( c_star @ sK0 @ ( c_star @ sK2 @ sK3 ) ) ) ),
inference(forward_demodulation,[],[f15,f10]) ).
thf(f10,plain,
! [X2: a,X0: a,X1: a] :
( ( c_star @ X0 @ ( c_star @ X2 @ X1 ) )
= ( c_star @ ( c_star @ X0 @ X2 ) @ X1 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( ! [X0: a,X1: a,X2: a] :
( ( c_star @ X0 @ ( c_star @ X2 @ X1 ) )
= ( c_star @ ( c_star @ X0 @ X2 ) @ X1 ) )
& ( ( c_star @ sK1 @ ( c_star @ sK0 @ ( c_star @ sK2 @ sK3 ) ) )
!= ( c_star @ ( c_star @ ( c_star @ sK1 @ sK0 ) @ sK2 ) @ sK3 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f6,f7]) ).
thf(f7,plain,
( ? [X3: a,X4: a,X5: a,X6: a] :
( ( c_star @ ( c_star @ ( c_star @ X4 @ X3 ) @ X5 ) @ X6 )
!= ( c_star @ X4 @ ( c_star @ X3 @ ( c_star @ X5 @ X6 ) ) ) )
=> ( ( c_star @ sK1 @ ( c_star @ sK0 @ ( c_star @ sK2 @ sK3 ) ) )
!= ( c_star @ ( c_star @ ( c_star @ sK1 @ sK0 ) @ sK2 ) @ sK3 ) ) ),
introduced(choice_axiom,[]) ).
thf(f6,plain,
( ! [X0: a,X1: a,X2: a] :
( ( c_star @ X0 @ ( c_star @ X2 @ X1 ) )
= ( c_star @ ( c_star @ X0 @ X2 ) @ X1 ) )
& ? [X3: a,X4: a,X5: a,X6: a] :
( ( c_star @ ( c_star @ ( c_star @ X4 @ X3 ) @ X5 ) @ X6 )
!= ( c_star @ X4 @ ( c_star @ X3 @ ( c_star @ X5 @ X6 ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
( ! [X2: a,X1: a,X0: a] :
( ( c_star @ ( c_star @ X2 @ X0 ) @ X1 )
= ( c_star @ X2 @ ( c_star @ X0 @ X1 ) ) )
& ? [X6: a,X4: a,X5: a,X3: a] :
( ( c_star @ X4 @ ( c_star @ X6 @ ( c_star @ X5 @ X3 ) ) )
!= ( c_star @ ( c_star @ ( c_star @ X4 @ X6 ) @ X5 ) @ X3 ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f4,plain,
~ ( ! [X2: a,X1: a,X0: a] :
( ( c_star @ ( c_star @ X2 @ X0 ) @ X1 )
= ( c_star @ X2 @ ( c_star @ X0 @ X1 ) ) )
=> ! [X6: a,X5: a,X3: a,X4: a] :
( ( c_star @ X4 @ ( c_star @ X6 @ ( c_star @ X5 @ X3 ) ) )
= ( c_star @ ( c_star @ ( c_star @ X4 @ X6 ) @ X5 ) @ X3 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X1: a,X2: a,X0: a] :
( ( c_star @ ( c_star @ X0 @ X1 ) @ X2 )
= ( c_star @ X0 @ ( c_star @ X1 @ X2 ) ) )
=> ! [X6: a,X3: a,X5: a,X4: a] :
( ( c_star @ ( c_star @ ( c_star @ X3 @ X4 ) @ X5 ) @ X6 )
= ( c_star @ X3 @ ( c_star @ X4 @ ( c_star @ X5 @ X6 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ! [X1: a,X2: a,X0: a] :
( ( c_star @ ( c_star @ X0 @ X1 ) @ X2 )
= ( c_star @ X0 @ ( c_star @ X1 @ X2 ) ) )
=> ! [X6: a,X3: a,X5: a,X4: a] :
( ( c_star @ ( c_star @ ( c_star @ X3 @ X4 ) @ X5 ) @ X6 )
= ( c_star @ X3 @ ( c_star @ X4 @ ( c_star @ X5 @ X6 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM23_pme) ).
thf(f15,plain,
( ( c_star @ sK1 @ ( c_star @ sK0 @ ( c_star @ sK2 @ sK3 ) ) )
!= ( c_star @ sK1 @ ( c_star @ ( c_star @ sK0 @ sK2 ) @ sK3 ) ) ),
inference(superposition,[],[f11,f10]) ).
thf(f11,plain,
( ( c_star @ sK1 @ ( c_star @ sK0 @ ( c_star @ sK2 @ sK3 ) ) )
!= ( c_star @ ( c_star @ sK1 @ ( c_star @ sK0 @ sK2 ) ) @ sK3 ) ),
inference(forward_demodulation,[],[f9,f10]) ).
thf(f9,plain,
( ( c_star @ sK1 @ ( c_star @ sK0 @ ( c_star @ sK2 @ sK3 ) ) )
!= ( c_star @ ( c_star @ ( c_star @ sK1 @ sK0 ) @ sK2 ) @ sK3 ) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG270^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n018.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat May 18 23:34:23 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH0_THM_EQU_NAR problem
% 0.16/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.39 % (19351)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.40 % (19351)Instruction limit reached!
% 0.23/0.40 % (19351)------------------------------
% 0.23/0.40 % (19351)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (19351)Termination reason: Unknown
% 0.23/0.40 % (19351)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (19351)Memory used [KB]: 5500
% 0.23/0.40 % (19351)Time elapsed: 0.004 s
% 0.23/0.40 % (19351)Instructions burned: 3 (million)
% 0.23/0.40 % (19351)------------------------------
% 0.23/0.40 % (19351)------------------------------
% 0.23/0.40 % (19347)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.40 % (19347)Instruction limit reached!
% 0.23/0.40 % (19347)------------------------------
% 0.23/0.40 % (19347)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (19347)Termination reason: Unknown
% 0.23/0.40 % (19347)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (19347)Memory used [KB]: 5373
% 0.23/0.40 % (19347)Time elapsed: 0.003 s
% 0.23/0.40 % (19347)Instructions burned: 2 (million)
% 0.23/0.40 % (19347)------------------------------
% 0.23/0.40 % (19347)------------------------------
% 0.23/0.40 % (19350)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.40 % (19346)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.23/0.40 % (19348)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.40 % (19348)Instruction limit reached!
% 0.23/0.40 % (19348)------------------------------
% 0.23/0.40 % (19348)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (19348)Termination reason: Unknown
% 0.23/0.40 % (19348)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (19348)Memory used [KB]: 895
% 0.23/0.40 % (19348)Time elapsed: 0.003 s
% 0.23/0.40 % (19348)Instructions burned: 2 (million)
% 0.23/0.40 % (19348)------------------------------
% 0.23/0.40 % (19348)------------------------------
% 0.23/0.40 % (19350)First to succeed.
% 0.23/0.40 % (19345)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.40 % (19344)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.40 % (19349)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.23/0.40 % (19346)Also succeeded, but the first one will report.
% 0.23/0.40 % (19350)Refutation found. Thanks to Tanya!
% 0.23/0.40 % SZS status Theorem for theBenchmark
% 0.23/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.40 % (19350)------------------------------
% 0.23/0.40 % (19350)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (19350)Termination reason: Refutation
% 0.23/0.40
% 0.23/0.40 % (19350)Memory used [KB]: 5500
% 0.23/0.40 % (19350)Time elapsed: 0.005 s
% 0.23/0.40 % (19350)Instructions burned: 3 (million)
% 0.23/0.40 % (19350)------------------------------
% 0.23/0.40 % (19350)------------------------------
% 0.23/0.40 % (19343)Success in time 0.035 s
% 0.23/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------