TSTP Solution File: ARI701_1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : ARI701_1 : TPTP v8.2.0. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n017.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 Jun 24 04:32:28 EDT 2024
% Result : Theorem 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 24 ( 18 unt; 6 typ; 0 def)
% Number of atoms : 18 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 39 ( 0 atm; 26 fun; 8 num; 5 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
x: $int ).
tff(func_def_1,type,
y: $int ).
tff(func_def_2,type,
a: $int ).
tff(func_def_3,type,
z: $int ).
tff(func_def_4,type,
b: $int ).
tff(pred_def_2,type,
sP0: $int > $o ).
tff(f61,plain,
$false,
inference(subsumption_resolution,[],[f60,f30]) ).
tff(f30,plain,
sP0(1),
inference(inequality_splitting,[],[f25,f29]) ).
tff(f29,plain,
~ sP0($product($product(z,y),x)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
tff(f25,plain,
1 != $product($product(z,y),x),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
1 != $product($product(z,y),x),
inference(flattening,[],[f5]) ).
tff(f5,negated_conjecture,
( ~ 1 = $product($product(z,y),x) ),
inference(negated_conjecture,[],[f4]) ).
tff(f4,conjecture,
1 = $product($product(z,y),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f60,plain,
~ sP0(1),
inference(superposition,[],[f56,f27]) ).
tff(f27,plain,
$product(a,z) = 1,
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
$product(a,z) = 1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f56,plain,
~ sP0($product(a,z)),
inference(superposition,[],[f50,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_143,[]) ).
tff(f50,plain,
~ sP0($product(z,a)),
inference(superposition,[],[f41,f26]) ).
tff(f26,plain,
$product(x,y) = a,
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$product(x,y) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f41,plain,
~ sP0($product(z,$product(x,y))),
inference(superposition,[],[f34,f17]) ).
tff(f34,plain,
~ sP0($product(z,$product(y,x))),
inference(superposition,[],[f29,f18]) ).
tff(f18,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
introduced(theory_axiom_144,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI701_1 : TPTP v8.2.0. Released v6.3.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 05:01:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a TF0_THM_EQU_ARI problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.42 % (11927)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (11934)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.42 % (11927)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (11936)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.22/0.42 % (11927)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (11931)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.22/0.42 % (11927)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (11935)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.42 % (11927)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (11933)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.42 % (11927)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (11930)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.22/0.42 % (11933)Instruction limit reached!
% 0.22/0.42 % (11933)------------------------------
% 0.22/0.42 % (11933)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.42 % (11933)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.42 % (11933)Termination reason: Time limit
% 0.22/0.42 % (11933)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (11933)Memory used [KB]: 741
% 0.22/0.42 % (11933)Time elapsed: 0.003 s
% 0.22/0.42 % (11933)Instructions burned: 2 (million)
% 0.22/0.43 % (11927)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (11932)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.22/0.43 % (11931)Refutation not found, incomplete strategy% (11931)------------------------------
% 0.22/0.43 % (11931)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43 % (11936)Refutation not found, incomplete strategy% (11936)------------------------------
% 0.22/0.43 % (11936)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43 % (11931)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43 % (11936)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43 % (11931)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43 % (11936)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 % (11931)Memory used [KB]: 819
% 0.22/0.43 % (11936)Memory used [KB]: 831
% 0.22/0.43 % (11931)Time elapsed: 0.005 s
% 0.22/0.43 % (11936)Time elapsed: 0.005 s
% 0.22/0.43 % (11931)Instructions burned: 4 (million)
% 0.22/0.43 % (11936)Instructions burned: 4 (million)
% 0.22/0.43 % (11936)------------------------------
% 0.22/0.43 % (11936)------------------------------
% 0.22/0.43 % (11931)------------------------------
% 0.22/0.43 % (11931)------------------------------
% 0.22/0.43 % (11932)Instruction limit reached!
% 0.22/0.43 % (11932)------------------------------
% 0.22/0.43 % (11932)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43 % (11932)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43 % (11932)Termination reason: Time limit
% 0.22/0.43 % (11932)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (11932)Memory used [KB]: 877
% 0.22/0.43 % (11932)Time elapsed: 0.008 s
% 0.22/0.43 % (11932)Instructions burned: 8 (million)
% 0.22/0.43 % (11935)Instruction limit reached!
% 0.22/0.43 % (11935)------------------------------
% 0.22/0.43 % (11935)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43 % (11935)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43 % (11935)Termination reason: Time limit
% 0.22/0.43 % (11935)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (11935)Memory used [KB]: 889
% 0.22/0.43 % (11935)Time elapsed: 0.012 s
% 0.22/0.43 % (11935)Instructions burned: 15 (million)
% 0.22/0.45 % (11934)Instruction limit reached!
% 0.22/0.45 % (11934)------------------------------
% 0.22/0.45 % (11934)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45 % (11934)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45 % (11934)Termination reason: Time limit
% 0.22/0.45 % (11934)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (11934)Memory used [KB]: 1077
% 0.22/0.45 % (11934)Time elapsed: 0.027 s
% 0.22/0.45 % (11934)Instructions burned: 38 (million)
% 0.22/0.48 % (11927)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (11964)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.22/0.48 % (11927)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (11962)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.22/0.49 % (11962)First to succeed.
% 0.22/0.49 % (11962)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11927"
% 0.22/0.49 % (11927)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49 % (11965)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.49 % (11965)Instruction limit reached!
% 0.22/0.49 % (11965)------------------------------
% 0.22/0.49 % (11965)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (11965)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (11965)Termination reason: Time limit
% 0.22/0.49 % (11965)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (11965)Memory used [KB]: 753
% 0.22/0.49 % (11965)Time elapsed: 0.003 s
% 0.22/0.49 % (11965)Instructions burned: 2 (million)
% 0.22/0.49 % (11927)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49 % (11962)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Theorem for theBenchmark
% 0.22/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.49 % (11962)------------------------------
% 0.22/0.49 % (11962)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (11962)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (11962)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (11962)Memory used [KB]: 830
% 0.22/0.49 % (11962)Time elapsed: 0.004 s
% 0.22/0.49 % (11962)Instructions burned: 4 (million)
% 0.22/0.49 % (11962)------------------------------
% 0.22/0.49 % (11962)------------------------------
% 0.22/0.49 % (11927)Success in time 0.122 s
%------------------------------------------------------------------------------