%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL075-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 09:38:23 AM UTC 2026
% Result : Unsatisfiable 0.62s 0.42s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : apply(apply(k,X0),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).
fof(f6,axiom,
! [X2,X0,X1] : apply(apply(apply(abstraction,X0),X1),X2) = apply(apply(X0,apply(k,X2)),apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstraction) ).
fof(f13,negated_conjecture,
! [X0] : apply(apply(X0,b(X0)),c(X0)) != apply(b(X0),b(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_diagonal_combinator) ).
fof(f40,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,X1),apply(k,X0)),X2) = apply(apply(X1,apply(k,X2)),X0),
inference(superposition,[],[f6,f1]) ).
fof(f357,plain,
! [X0,X1] : apply(apply(apply(k,X0),apply(k,X1)),X0) = apply(apply(apply(apply(abstraction,abstraction),k),X0),X1),
inference(superposition,[],[f40,f6]) ).
fof(f381,plain,
! [X0,X1] : apply(apply(apply(apply(abstraction,abstraction),k),X0),X1) = apply(X0,X0),
inference(forward_demodulation,[],[f357,f1]) ).
fof(f2501,plain,
apply(b(apply(apply(abstraction,abstraction),k)),b(apply(apply(abstraction,abstraction),k))) != apply(b(apply(apply(abstraction,abstraction),k)),b(apply(apply(abstraction,abstraction),k))),
inference(superposition,[],[f13,f381]) ).
fof(f2612,plain,
$false,
inference(trivial_inequality_removal,[],[f2501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL075-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 % Computer : n026.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Mon Sep 28 21:36:42 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.29 Running first-order model finding
% 0.23/0.29 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.42 % (100943)Will run a generic schedule for satisfiability detection.
% 0.62/0.42 % (100949)% WARNING: option uhcvi not known.
% 0.62/0.42 % (100949)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2394395809:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.62/0.42 % (100948)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2383463589_2999 on theBenchmark for (2999ds/0Mi)
% 0.62/0.42 % TRYING [1]
% 0.62/0.42 % TRYING [2]
% 0.62/0.42 % TRYING [3]
% 0.62/0.42 % TRYING [4]
% 0.62/0.42 % (100952)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=786411435:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.62/0.42 % (100951)dis+10_1_sil=32000:sp=arity:random_seed=3713360462:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.62/0.42 % (100950)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=494306553:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.62/0.42 % (100953)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=948215621:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.62/0.42 % (100954)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=794026737:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.62/0.42 % TRYING [5]
% 0.62/0.42 % (100949) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-100943-100949"...
% 0.62/0.42 % (100949)...printing done.
% 0.62/0.42 % (100949)Refutation found. Thanks to Tanya!
% 0.62/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.62/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.42 % (100949)------------------------------
% 0.62/0.42 % (100949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.42 % (100949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.42 % (100949)CaDiCaL version: 2.1.3
% 0.62/0.42 % (100949)Termination reason: Refutation
% 0.62/0.42 % (100949)Time elapsed: 0.090 s
% 0.62/0.42 % (100949)Peak memory usage: 13 MB
% 0.62/0.42 % (100949)Instructions burned: 174 (million)
% 0.62/0.42 % (100943)Success in time 0.114 s
% 0.62/0.42 % Vampire exiting
%------------------------------------------------------------------------------