%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO197_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:25:41 PM UTC 2026
% Result : Theorem 3.65s 1.28s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 9 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 14 ( 7 ~; 0 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 24 ( 10 fml; 14 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 3 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 16 ( 8 !; 8 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
sK0: $o ).
tff(f1,conjecture,
? [X0: $o] :
! [X1: $o] :
? [X2: $o] :
( (X1)
=> (X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCT18) ).
tff(f2,negated_conjecture,
~ ? [X0: $o] :
! [X1: $o] :
? [X2: $o] :
( (X1)
=> (X2) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X1: $o] :
? [X2: $o] :
( (X1)
=> (X2) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ! [X1: $o] :
? [X2: $o] :
( ( $true = (X1) )
=> ( $true = (X2) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
~ ! [X0: $o] :
? [X1: $o] :
( ( $true = (X0) )
=> ( $true = (X1) ) ),
inference(rectify,[],[f4]) ).
tff(f6,plain,
? [X0: $o] :
! [X1: $o] :
( ( $true != (X1) )
& ( $true = (X0) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f7,plain,
! [X1: $o] :
( ( $true != (X1) )
& ( $true = sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f6]) ).
tff(f9,plain,
! [X1: $o] : ( $true != (X1) ),
inference(cnf_transformation,[],[f7]) ).
tff(f12,plain,
$false,
inference(equality_resolution,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO197_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n004.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 17:31:52 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.65/1.28 % (552924)Detected formulas, will run a generic FOF schedule.
% 3.65/1.28 % (552998)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1839812549:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.65/1.28 % (553004)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=320858273:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.65/1.28 % (553000)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2170991532:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.65/1.28 % (553007)dis-21_1_sil=8000:lcm=predicate:random_seed=2078209771:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.65/1.28 % (553005)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1952460979:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.65/1.28 % (553001)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=467132569:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.65/1.28 % (553007)Also succeeded, but the first one will report.
% 3.65/1.28 % (553005)Also succeeded, but the first one will report.
% 3.65/1.28 % (553004)First to succeed.
% 3.65/1.28 % (553004)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-552924"
% 3.65/1.28 % (553003)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2661040221:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.65/1.28 % (553003)Also succeeded, but the first one will report.
% 3.65/1.28 [W928 17:31:53.583572479 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.65/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.65/1.28 [W928 17:31:53.583603355 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.65/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.65/1.28 [W928 17:31:53.583623503 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.65/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.65/1.28 [W928 17:31:53.583629562 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.65/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.65/1.28 [W928 17:31:53.583642871 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.65/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.65/1.28 [W928 17:31:53.583648161 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.65/1.28 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.65/1.28 % (553004)Refutation found. Thanks to Tanya!
% 3.65/1.28 % SZS status Theorem for theBenchmark
% 3.65/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.28 % (553004)------------------------------
% 3.65/1.28 % (553004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.28 % (553004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.28 % (553004)CaDiCaL version: 2.1.3
% 3.65/1.28 % (553004)Termination reason: Refutation
% 3.65/1.28 % (553004)Time elapsed: 0.001 s
% 3.65/1.28 % (553004)Peak memory usage: 88 MB
% 3.65/1.28 % (553004)------------------------------
% 3.65/1.28 % (553004)------------------------------
% 3.65/1.28 % (552924)Success in time 0.441 s
% 3.65/1.28 % Vampire exiting
%------------------------------------------------------------------------------