%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT282^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 : Wed Sep 30 07:49:08 AM UTC 2026
% Result : Theorem 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT282^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n002.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 18:22:07 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.07/0.25 % (1667856)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (1667870)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=204237104:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.25 % (1667870) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1667856-1667870"...
% 0.07/0.25 % (1667870)...printing done.
% 0.07/0.25 % (1667870)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Theorem for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% 0.07/0.25 thf(type_def_5, type, 'type/pair/prod': ($tType * $tType) > $tType).
% 0.07/0.25 thf(type_def_6, type, 'type/ind_types/list': $tType > $tType).
% 0.07/0.25 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 0.07/0.25 thf(type_def_8, type, sK0: $tType).
% 0.07/0.25 thf(type_def_9, type, sK1: $tType).
% 0.07/0.25 thf(func_def_0, type, 'const/lists/ZIP': !>[X0: $tType, X1: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X1 > 'type/ind_types/list' @ 'type/pair/prod' @ X0 @ X1))).
% 0.07/0.25 thf(func_def_1, type, 'const/ind_types/NIL': !>[X0: $tType]:('type/ind_types/list' @ X0)).
% 0.07/0.25 thf(f1,axiom,(
% 0.07/0.25 ! [X0 : $tType,X1 : $tType,X2 : 'type/ind_types/list' @ X1] : ((('const/lists/ZIP' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0 @ X2)) = 'const/ind_types/NIL' @ 'type/pair/prod' @ X0 @ X1)),
% 0.07/0.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/ZIP_DEF_0')).
% 0.07/0.25 thf(f2,conjecture,(
% 0.07/0.25 ! [X0 : $tType,X1 : $tType] : ((('const/lists/ZIP' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0 @ 'const/ind_types/NIL' @ X1)) = 'const/ind_types/NIL' @ 'type/pair/prod' @ X0 @ X1)),
% 0.07/0.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/ZIP_0')).
% 0.07/0.25 thf(f3,negated_conjecture,(
% 0.07/0.25 ~ ! [X0 : $tType,X1 : $tType] : ((('const/lists/ZIP' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0 @ 'const/ind_types/NIL' @ X1)) = 'const/ind_types/NIL' @ 'type/pair/prod' @ X0 @ X1)),
% 0.07/0.25 inference(negated_conjecture,[status(cth)],[f2])).
% 0.07/0.25 thf(f4,plain,(
% 0.07/0.25 ? [X0 : $tType,X1 : $tType] : ('const/ind_types/NIL' @ 'type/pair/prod' @ X0 @ X1 != (('const/lists/ZIP' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0 @ 'const/ind_types/NIL' @ X1)))),
% 0.07/0.25 inference(ennf_transformation,[],[f3])).
% 0.07/0.25 thf(f5,plain,(
% 0.07/0.25 ('const/ind_types/NIL' @ 'type/pair/prod' @ sK0 @ sK1 != (('const/lists/ZIP' @ sK0 @ sK1 @ 'const/ind_types/NIL' @ sK0 @ 'const/ind_types/NIL' @ sK1)))),
% 0.07/0.25 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f4])).
% 0.07/0.25 thf(f6,plain,(
% 0.07/0.25 ( ! [X1 : $tType,X0 : $tType,X2 : 'type/ind_types/list' @ X1] : (((('const/lists/ZIP' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0 @ X2)) = 'const/ind_types/NIL' @ 'type/pair/prod' @ X0 @ X1)) )),
% 0.07/0.25 inference(cnf_transformation,[],[f1])).
% 0.07/0.25 thf(f7,plain,(
% 0.07/0.25 ('const/ind_types/NIL' @ 'type/pair/prod' @ sK0 @ sK1 != (('const/lists/ZIP' @ sK0 @ sK1 @ 'const/ind_types/NIL' @ sK0 @ 'const/ind_types/NIL' @ sK1)))),
% 0.07/0.25 inference(cnf_transformation,[],[f5])).
% 0.07/0.25 thf(f8,plain,(
% 0.07/0.25 ('const/ind_types/NIL' @ 'type/pair/prod' @ sK0 @ sK1 != 'const/ind_types/NIL' @ 'type/pair/prod' @ sK0 @ sK1)),
% 0.07/0.25 inference(constrained_superposition,[],[f7,f6])).
% 0.07/0.25 thf(f9,plain,(
% 0.07/0.25 $false),
% 0.07/0.25 inference(trivial_inequality_removal,[],[f8])).
% 0.07/0.25 % SZS output end Proof for theBenchmark
% 0.07/0.25 % (1667870)------------------------------
% 0.07/0.25 % (1667870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (1667870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (1667870)CaDiCaL version: 2.1.3
% 0.07/0.25 % (1667870)Termination reason: Refutation
% 0.07/0.25 % (1667870)Time elapsed: 0.001 s
% 0.07/0.25 % (1667870)Peak memory usage: 12 MB
% 0.07/0.25 % (1667870)Instructions burned: 1 (million)
% 0.07/0.25 % (1667856)Success in time 0.029 s
% 0.07/0.25 % Vampire exiting
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