%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC036+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 01:02:08 PM UTC 2026
% Result : Theorem 3.47s 1.49s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 50 ( 41 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 57 ( 22 ~; 16 |; 11 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 16 ( 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil != X1
| X1 != X3
| X0 != X2
| nil = X0
| ( nil != X2
& nil = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil != X1
| X1 != X3
| X0 != X2
| nil = X0
| ( nil != X2
& nil = X3 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
~ ! [X0,X1,X2,X3] :
( nil != X1
| X1 != X3
| X0 != X2
| nil = X0
| ( nil != X2
& nil = X3 ) ),
inference(pure_predicate_removal,[],[f97]) ).
fof(f100,plain,
? [X0,X1,X2,X3] :
( nil = X1
& X1 = X3
& X0 = X2
& nil != X0
& ( nil = X2
| nil != X3 ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f101,plain,
( nil = sK1
& sK1 = sK3
& sK0 = sK2
& nil != sK0
& ( nil = sK2
| nil != sK3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f100]) ).
fof(f102,plain,
( nil = sK2
| nil != sK3 ),
inference(cnf_transformation,[],[f101]) ).
fof(f103,plain,
nil != sK0,
inference(cnf_transformation,[],[f101]) ).
fof(f104,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f101]) ).
fof(f105,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f101]) ).
fof(f106,plain,
nil = sK1,
inference(cnf_transformation,[],[f101]) ).
fof(f107,plain,
nil = sK3,
inference(definition_unfolding,[],[f106,f105]) ).
fof(f108,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f103,f107,f104]) ).
fof(f109,plain,
( sK2 = sK3
| sK3 != sK3 ),
inference(definition_unfolding,[],[f102,f107,f107]) ).
fof(f110,plain,
sK2 = sK3,
inference(trivial_inequality_removal,[],[f109]) ).
fof(f111,plain,
$false,
inference(forward_subsumption_resolution,[],[f110,f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC036+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 % Computer : n011.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Mon Sep 28 07:33:00 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.44 Running first-order theorem proving
% 0.10/0.44 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
% 3.47/1.49 % (3228954)Detected formulas, will run a generic FOF schedule.
% 3.47/1.49 % (3229047)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=1976489676:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.47/1.49 % (3229049)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=350904401:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.47/1.49 % (3229046)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=2103858409:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.47/1.49 % (3229045)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=896142825:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.47/1.49 % (3229048)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3892102205:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.47/1.49 % (3229049)First to succeed.
% 3.47/1.49 % (3229049)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3228954"
% 3.47/1.49 % (3229048)Also succeeded, but the first one will report.
% 3.47/1.49 % (3229050)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=302776711:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.47/1.49 % (3229051)dis-21_1_sil=8000:lcm=predicate:random_seed=42456704: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)
% 3.47/1.49 % (3229050)Also succeeded, but the first one will report.
% 3.47/1.49 % (3229051)Also succeeded, but the first one will report.
% 3.47/1.49 [W928 07:33:01.327583226 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.
% 3.47/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.49 [W928 07:33:01.327621485 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.
% 3.47/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.49 [W928 07:33:01.327640499 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.
% 3.47/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.49 [W928 07:33:01.327647012 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.
% 3.47/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.49 [W928 07:33:01.327660923 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.
% 3.47/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.49 [W928 07:33:01.327666653 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.
% 3.47/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.49 % (3229049)Refutation found. Thanks to Tanya!
% 3.47/1.49 % SZS status Theorem for theBenchmark
% 3.47/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.49 % (3229049)------------------------------
% 3.47/1.49 % (3229049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.49 % (3229049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.49 % (3229049)CaDiCaL version: 2.1.3
% 3.47/1.49 % (3229049)Termination reason: Refutation
% 3.47/1.49 % (3229049)Time elapsed: 0.002 s
% 3.47/1.49 % (3229049)Peak memory usage: 88 MB
% 3.47/1.49 % (3229049)Instructions burned: 1 (million)
% 3.47/1.49 % (3229049)------------------------------
% 3.47/1.49 % (3229049)------------------------------
% 3.47/1.49 % (3228954)Success in time 0.421 s
% 3.47/1.49 % Vampire exiting
%------------------------------------------------------------------------------