%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU945^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 08:34:27 AM UTC 2026
% Result : Theorem 0.09s 0.16s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU945^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 14:49:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.12 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
% 0.09/0.16 % (207406)Will run a generic schedule for satisfiability detection.
% 0.09/0.16 % (207416)% WARNING: option uhcvi not known.
% 0.09/0.16 % (207415)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=237529617_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.16 % (207419)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3449011189:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.16 % (207416)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2018276338:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.16 % (207418)dis+10_1_sil=32000:sp=arity:random_seed=4049995839:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.16 % (207417)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2278288728:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.16 % (207419)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.16 % (207416)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.16 % (207421)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=856179917:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.16 % (207416)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.09/0.16 % Exception at run slice level
% 0.09/0.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.09/0.16 % (207420)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3964265657:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.16 % (207421) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-207406-207421"...
% 0.09/0.16 % (207418) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-207406-207418"...
% 0.09/0.16 % (207419) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-207406-207419"...
% 0.09/0.16 % (207417) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-207406-207417"...
% 0.09/0.16 % (207420) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-207406-207420"...
% 0.09/0.16 % (207416) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-207406-207416"...
% 0.09/0.16 % (207421)...printing done.
% 0.09/0.16 % (207418)...printing done.
% 0.09/0.16 % (207419)...printing done.
% 0.09/0.16 % (207417)...printing done.
% 0.09/0.16 % (207420)...printing done.
% 0.09/0.16 % (207416)...printing done.
% 0.09/0.16 % (207421)Refutation found. Thanks to Tanya!
% 0.09/0.16 % SZS status Theorem for theBenchmark
% 0.09/0.16 % SZS output start Proof for theBenchmark
% 0.09/0.16 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.16 thf(func_def_1, type, sK0: (($i > $i > $o) > $i)).
% 0.09/0.16 thf(func_def_2, type, sK1: (($i > $i > $o) > $i)).
% 0.09/0.16 thf(func_def_5, type, vNOT: ($o > $o)).
% 0.09/0.16 thf(func_def_6, type, db0: !>[X0: $tType]:(X0)).
% 0.09/0.16 thf(func_def_7, type, db1: !>[X0: $tType]:(X0)).
% 0.09/0.16 thf(func_def_8, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.09/0.16 thf(func_def_9, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.09/0.16 thf(f1,conjecture,(
% 0.09/0.16 ? [X0 : ($i > $i > $o)] : ! [X1 : $i,X2 : $i] : ((((X0 @ X1)) = ((X0 @ X2))) => (X1 = X2))),
% 0.09/0.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM3_pme)).
% 0.09/0.16 thf(f2,negated_conjecture,(
% 0.09/0.16 ~ ? [X0 : ($i > $i > $o)] : ! [X1 : $i,X2 : $i] : ((((X0 @ X1)) = ((X0 @ X2))) => (X1 = X2))),
% 0.09/0.16 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.16 thf(f3,plain,(
% 0.09/0.16 ! [X0 : ($i > $i > $o)] : ? [X1 : $i,X2 : $i] : ((X1 != X2) & (((X0 @ X1)) = ((X0 @ X2))))),
% 0.09/0.16 inference(ennf_transformation,[],[f2])).
% 0.09/0.16 thf(f4,plain,(
% 0.09/0.16 ! [X0 : ($i > $i > $o)] : ((((sK0 @ X0)) != ((sK1 @ X0))) & (((X0 @ (sK0 @ X0))) = ((X0 @ (sK1 @ X0)))))),
% 0.09/0.16 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X2,sK1 @ X0),skolemize(X2,sK1 @ X0)],[f3])).
% 0.09/0.16 thf(f5,plain,(
% 0.09/0.16 ( ! [X0 : ($i > $i > $o)] : ((((X0 @ (sK0 @ X0))) = ((X0 @ (sK1 @ X0))))) )),
% 0.09/0.16 inference(cnf_transformation,[],[f4])).
% 0.09/0.16 thf(f6,plain,(
% 0.09/0.16 ( ! [X0 : ($i > $i > $o)] : ((((sK0 @ X0)) != ((sK1 @ X0)))) )),
% 0.09/0.16 inference(cnf_transformation,[],[f4])).
% 0.09/0.16 thf(f9,plain,(
% 0.09/0.16 ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ (sK0 @ X0) @ X1)) = ((X0 @ (sK1 @ X0) @ X1)))) )),
% 0.09/0.16 inference(argument_congruence,[],[f5])).
% 0.09/0.16 thf(f11,plain,(
% 0.09/0.16 ( ! [X0 : ($i > $i > $o),X1 : $i] : (($false = ((X0 @ (sK1 @ X0) @ X1))) | ($true = ((X0 @ (sK0 @ X0) @ X1)))) )),
% 0.09/0.16 inference(iff_proxy_clausification,[],[f9])).
% 0.09/0.16 thf(f13,plain,(
% 0.09/0.16 ( ! [X1 : $i] : (($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ (sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1))))) @ X1))) | ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ (sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1))))) @ X1)))) )),
% 0.09/0.16 inference(primitive_instantiation,[],[f11])).
% 0.09/0.16 thf(f36,plain,(
% 0.09/0.16 ( ! [X1 : $i] : (($false = (((sK1 @ =) = X1))) | ($true = (((sK0 @ =) = X1)))) )),
% 0.09/0.16 inference(beta-eta_normalization,[],[f13])).
% 0.09/0.16 thf(f37,plain,(
% 0.09/0.16 ( ! [X1 : $i] : ((((sK1 @ =)) != X1) | ($true = (((sK0 @ =) = X1)))) )),
% 0.09/0.16 inference(equality_proxy_clausification,[],[f36])).
% 0.09/0.16 thf(f38,plain,(
% 0.09/0.16 ( ! [X1 : $i] : ((((sK1 @ =)) != X1) | (((sK0 @ =)) = X1)) )),
% 0.09/0.16 inference(equality_proxy_clausification,[],[f37])).
% 0.09/0.16 thf(f39,plain,(
% 0.09/0.16 (((sK1 @ =)) = ((sK0 @ =)))),
% 0.09/0.16 inference(equality_resolution,[],[f38])).
% 0.09/0.16 thf(f41,plain,(
% 0.09/0.16 (((sK0 @ =)) != ((sK0 @ =)))),
% 0.09/0.16 inference(constrained_superposition,[],[f6,f39])).
% 0.09/0.16 thf(f43,plain,(
% 0.09/0.16 $false),
% 0.09/0.16 inference(trivial_inequality_removal,[],[f41])).
% 0.09/0.16 % SZS output end Proof for theBenchmark
% 0.09/0.16 % (207421)------------------------------
% 0.09/0.16 % (207421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.16 % (207421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.16 % (207421)CaDiCaL version: 2.1.3
% 0.09/0.16 % (207421)Termination reason: Refutation
% 0.09/0.16 % (207421)Time elapsed: 0.001 s
% 0.09/0.16 % (207421)Peak memory usage: 12 MB
% 0.09/0.16 % (207421)Instructions burned: 3 (million)
% 0.09/0.16 % (207406)Success in time 0.03 s
% 0.09/0.16 % Vampire exiting
%------------------------------------------------------------------------------