TSTP Solution File: SYO512^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO512^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 May 21 09:12:00 EDT 2024
% Result : Theorem 0.21s 0.36s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYO512^1 : TPTP v8.2.0. Released v4.1.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 09:05:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (21458)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.36 % (21463)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.36 % (21463)First to succeed.
% 0.21/0.36 % (21463)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21458"
% 0.21/0.36 % (21463)Refutation found. Thanks to Tanya!
% 0.21/0.36 % SZS status Theorem for theBenchmark
% 0.21/0.36 % SZS output start Proof for theBenchmark
% 0.21/0.36 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.36 thf(func_def_0, type, eps: ($i > $o) > $i).
% 0.21/0.36 thf(func_def_2, type, r: $i > $i > $o).
% 0.21/0.36 thf(func_def_6, type, sK1: $i > $i).
% 0.21/0.36 thf(func_def_7, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.21/0.36 thf(func_def_8, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.21/0.36 thf(func_def_9, type, vAND: $o > $o > $o).
% 0.21/0.36 thf(func_def_10, type, vOR: $o > $o > $o).
% 0.21/0.36 thf(func_def_11, type, vIMP: $o > $o > $o).
% 0.21/0.36 thf(func_def_12, type, vNOT: $o > $o).
% 0.21/0.36 thf(func_def_13, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.21/0.36 thf(f106,plain,(
% 0.21/0.36 $false),
% 0.21/0.36 inference(trivial_inequality_removal,[],[f102])).
% 0.21/0.36 thf(f102,plain,(
% 0.21/0.36 ($true = $false)),
% 0.21/0.36 inference(superposition,[],[f21,f89])).
% 0.21/0.36 thf(f89,plain,(
% 0.21/0.36 ( ! [X0 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),r,sK0),X0))) )),
% 0.21/0.36 inference(trivial_inequality_removal,[],[f81])).
% 0.21/0.36 thf(f81,plain,(
% 0.21/0.36 ( ! [X0 : $i] : (($true = $false) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),r,sK0),X0))) )),
% 0.21/0.36 inference(superposition,[],[f51,f62])).
% 0.21/0.36 thf(f62,plain,(
% 0.21/0.36 ( ! [X0 : $i > $o,X1 : $i] : ((vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)) = $true) | (vAPP($i,$o,X0,X1) = $false)) )),
% 0.21/0.36 inference(trivial_inequality_removal,[],[f61])).
% 0.21/0.36 thf(f61,plain,(
% 0.21/0.36 ( ! [X0 : $i > $o,X1 : $i] : (($true != $true) | (vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)) = $true) | (vAPP($i,$o,X0,X1) = $false)) )),
% 0.21/0.36 inference(superposition,[],[f20,f6])).
% 0.21/0.36 thf(f6,plain,(
% 0.21/0.36 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.21/0.36 introduced(fool_axiom,[])).
% 0.21/0.36 thf(f20,plain,(
% 0.21/0.36 ( ! [X0 : $i > $o,X1 : $i] : ((vAPP($i,$o,X0,X1) != $true) | (vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)) = $true)) )),
% 0.21/0.36 inference(cnf_transformation,[],[f14])).
% 0.21/0.36 thf(f14,plain,(
% 0.21/0.36 ! [X0 : $i > $o] : ((vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)) = $true) | ! [X1] : (vAPP($i,$o,X0,X1) != $true))),
% 0.21/0.36 inference(ennf_transformation,[],[f10])).
% 0.21/0.36 thf(f10,plain,(
% 0.21/0.36 ! [X0 : $i > $o] : (? [X1] : (vAPP($i,$o,X0,X1) = $true) => (vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)) = $true))),
% 0.21/0.36 inference(fool_elimination,[],[f9])).
% 0.21/0.36 thf(f9,plain,(
% 0.21/0.36 ! [X0 : $i > $o] : (? [X1] : vAPP($i,$o,X0,X1) => vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)))),
% 0.21/0.36 inference(rectify,[],[f1])).
% 0.21/0.36 thf(f1,axiom,(
% 0.21/0.36 ! [X0 : $i > $o] : (? [X1] : vAPP($i,$o,X0,X1) => vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)))),
% 0.21/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',epschoice)).
% 0.21/0.36 thf(f51,plain,(
% 0.21/0.36 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),r,sK0),vAPP(sTfun($i,$o),$i,eps,vAPP($i,sTfun($i,$o),r,sK0))))),
% 0.21/0.36 inference(trivial_inequality_removal,[],[f50])).
% 0.21/0.36 thf(f50,plain,(
% 0.21/0.36 ($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),r,sK0),vAPP(sTfun($i,$o),$i,eps,vAPP($i,sTfun($i,$o),r,sK0))))),
% 0.21/0.36 inference(superposition,[],[f19,f6])).
% 0.21/0.36 thf(f19,plain,(
% 0.21/0.36 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),r,sK0),vAPP(sTfun($i,$o),$i,eps,vAPP($i,sTfun($i,$o),r,sK0))))),
% 0.21/0.36 inference(cnf_transformation,[],[f16])).
% 0.21/0.36 thf(f16,plain,(
% 0.21/0.36 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),r,sK0),vAPP(sTfun($i,$o),$i,eps,vAPP($i,sTfun($i,$o),r,sK0))))),
% 0.21/0.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f13,f15])).
% 0.21/0.36 thf(f15,plain,(
% 0.21/0.36 ? [X0] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),r,X0),vAPP(sTfun($i,$o),$i,eps,vAPP($i,sTfun($i,$o),r,X0)))) => ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),r,sK0),vAPP(sTfun($i,$o),$i,eps,vAPP($i,sTfun($i,$o),r,sK0))))),
% 0.21/0.36 introduced(choice_axiom,[])).
% 0.21/0.36 thf(f13,plain,(
% 0.21/0.36 ? [X0] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),r,X0),vAPP(sTfun($i,$o),$i,eps,vAPP($i,sTfun($i,$o),r,X0))))),
% 0.21/0.36 inference(ennf_transformation,[],[f8])).
% 0.21/0.36 thf(f8,plain,(
% 0.21/0.36 ~! [X0] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),r,X0),vAPP(sTfun($i,$o),$i,eps,vAPP($i,sTfun($i,$o),r,X0))))),
% 0.21/0.36 inference(fool_elimination,[],[f7])).
% 0.21/0.36 thf(f7,plain,(
% 0.21/0.36 ~! [X0] : vAPP($i,$o,vAPP($i,sTfun($i,$o),r,X0),vAPP(sTfun($i,$o),$i,eps,vAPP($i,sTfun($i,$o),r,X0)))),
% 0.21/0.36 inference(rectify,[],[f4])).
% 0.21/0.36 thf(f4,negated_conjecture,(
% 0.21/0.36 ~! [X1] : vAPP($i,$o,vAPP($i,sTfun($i,$o),r,X1),vAPP(sTfun($i,$o),$i,eps,vAPP($i,sTfun($i,$o),r,X1)))),
% 0.21/0.36 inference(negated_conjecture,[],[f3])).
% 0.21/0.36 thf(f3,conjecture,(
% 0.21/0.36 ! [X1] : vAPP($i,$o,vAPP($i,sTfun($i,$o),r,X1),vAPP(sTfun($i,$o),$i,eps,vAPP($i,sTfun($i,$o),r,X1)))),
% 0.21/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',claim)).
% 0.21/0.36 thf(f21,plain,(
% 0.21/0.36 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),r,X0),vAPP($i,$i,sK1,X0)))) )),
% 0.21/0.36 inference(cnf_transformation,[],[f18])).
% 0.21/0.36 thf(f18,plain,(
% 0.21/0.36 ! [X0] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),r,X0),vAPP($i,$i,sK1,X0)))),
% 0.21/0.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f12,f17])).
% 0.21/0.36 thf(f17,plain,(
% 0.21/0.36 ! [X0] : (? [X1] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),r,X0),X1)) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),r,X0),vAPP($i,$i,sK1,X0))))),
% 0.21/0.36 introduced(choice_axiom,[])).
% 0.21/0.36 thf(f12,plain,(
% 0.21/0.36 ! [X0] : ? [X1] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),r,X0),X1))),
% 0.21/0.36 inference(fool_elimination,[],[f11])).
% 0.21/0.36 thf(f11,plain,(
% 0.21/0.36 ! [X0] : ? [X1] : vAPP($i,$o,vAPP($i,sTfun($i,$o),r,X0),X1)),
% 0.21/0.36 inference(rectify,[],[f2])).
% 0.21/0.36 thf(f2,axiom,(
% 0.21/0.36 ! [X1] : ? [X2] : vAPP($i,$o,vAPP($i,sTfun($i,$o),r,X1),X2)),
% 0.21/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rtotal)).
% 0.21/0.36 % SZS output end Proof for theBenchmark
% 0.21/0.36 % (21463)------------------------------
% 0.21/0.36 % (21463)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.36 % (21463)Termination reason: Refutation
% 0.21/0.36
% 0.21/0.36 % (21463)Memory used [KB]: 776
% 0.21/0.36 % (21463)Time elapsed: 0.004 s
% 0.21/0.36 % (21463)Instructions burned: 7 (million)
% 0.21/0.36 % (21458)Success in time 0.012 s
%------------------------------------------------------------------------------