%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO299^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:47:23 AM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO299^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n008.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 : Tue Sep 29 16:44:58 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.28 % (3405094)Detected formulas, will run a generic FOF schedule.
% 0.19/0.28 % (3405117)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=3582266529:st=2:i=121:sd=30:aac=none:ep=RS:ss=axioms:sgt=10_2999 on theBenchmark for (2999ds/121Mi)
% 0.19/0.28 % (3405117)Refutation not found, incomplete strategy
% 0.19/0.28 % (3405117)------------------------------
% 0.19/0.28 % (3405117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (3405117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (3405117)CaDiCaL version: 2.1.3
% 0.19/0.28 % (3405117)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.28 % (3405117)Time elapsed: 0.001 s
% 0.19/0.28 % (3405117)Peak memory usage: 12 MB
% 0.19/0.28 % (3405117)------------------------------
% 0.19/0.28 % (3405117)------------------------------
% 0.19/0.28 % (3405112)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=312786606:s2a=on:i=272356:sd=1:bd=all:ss=included_2999 on theBenchmark for (2999ds/272356Mi)
% 0.19/0.28 % (3405110)lrs+1011_1_sp=occurrence:random_seed=1098759946:st=6:sd=4:ss=included_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.28 % (3405111)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=394036325:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_2999 on theBenchmark for (2999ds/261632Mi)
% 0.19/0.28 % (3405116)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=3052867694:i=132:kws=arity:er=filter_2999 on theBenchmark for (2999ds/132Mi)
% 0.19/0.28 % (3405113)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=1394337507:st=5:i=107:sd=1:ss=included:er=filter_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/0.28 % (3405114)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=1929659029:i=114:bd=all:ss=axioms:sgt=4_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/0.28 % (3405116) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3405094-3405116"...
% 0.19/0.28 % (3405112) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3405094-3405112"...
% 0.19/0.28 % (3405110) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3405094-3405110"...
% 0.19/0.28 % (3405113) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3405094-3405113"...
% 0.19/0.28 % (3405114) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3405094-3405114"...
% 0.19/0.28 % (3405116)...printing done.
% 0.19/0.28 % (3405111) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3405094-3405111"...
% 0.19/0.28 % (3405112)...printing done.
% 0.19/0.28 % (3405110)...printing done.
% 0.19/0.28 % (3405113)...printing done.
% 0.19/0.28 % (3405114)...printing done.
% 0.19/0.28 % (3405116)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Theorem for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% 0.19/0.28 fof(f1,conjecture,(
% 0.19/0.28 ! [X0 : $o,X1 : $o,X2 : $o] : ? [X3 : $o] : (((X0 <=> X1) <=> X2) => (X0 <=> (X1 <=> X3)))),
% 0.19/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM51)).
% 0.19/0.28 fof(f2,negated_conjecture,(
% 0.19/0.28 ~ ! [X0 : $o,X1 : $o,X2 : $o] : ? [X3 : $o] : (((X0 <=> X1) <=> X2) => (X0 <=> (X1 <=> X3)))),
% 0.19/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.28 fof(f3,plain,(
% 0.19/0.28 ~ ! [X0 : $o,X1 : $o,X2 : $o] : ? [X3 : $o] : (((X0 <=> X1) <=> X2) => (X0 <=> (X1 <=> X3)))),
% 0.19/0.28 inference(rectify,[],[f2])).
% 0.19/0.28 fof(f4,plain,(
% 0.19/0.28 ? [X0 : $o,X1 : $o,X2 : $o] : ! [X3 : $o] : ((X0 <~> (X1 <=> X3)) & ((X0 <=> X1) <=> X2))),
% 0.19/0.28 inference(ennf_transformation,[],[f3])).
% 0.19/0.28 fof(f5,plain,(
% 0.19/0.28 sK0 | sK1),
% 0.19/0.28 inference(cnf_transformation,[],[f4])).
% 0.19/0.28 fof(f6,plain,(
% 0.19/0.28 sK0 | ~sK1),
% 0.19/0.28 inference(cnf_transformation,[],[f4])).
% 0.19/0.28 fof(f7,plain,(
% 0.19/0.28 ~sK0 | sK1),
% 0.19/0.28 inference(cnf_transformation,[],[f4])).
% 0.19/0.28 fof(f8,plain,(
% 0.19/0.28 ~sK0 | ~sK1),
% 0.19/0.28 inference(cnf_transformation,[],[f4])).
% 0.19/0.28 fof(f13,plain,(
% 0.19/0.28 sK0),
% 0.19/0.28 inference(forward_subsumption_resolution,[],[f6,f5])).
% 0.19/0.28 fof(f14,plain,(
% 0.19/0.28 sK1),
% 0.19/0.28 inference(forward_subsumption_resolution,[],[f7,f5])).
% 0.19/0.28 fof(f18,definition,(
% 0.19/0.28 spl3_1 <=> sK1),
% 0.19/0.28 introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition])).
% 0.19/0.28 fof(f19,plain,(
% 0.19/0.28 ~sK1 | spl3_1),
% 0.19/0.28 inference(avatar_component_clause,[],[f18])).
% 0.19/0.28 fof(f22,definition,(
% 0.19/0.28 spl3_2 <=> sK0),
% 0.19/0.28 introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition])).
% 0.19/0.28 fof(f23,plain,(
% 0.19/0.28 ~sK0 | spl3_2),
% 0.19/0.28 inference(avatar_component_clause,[],[f22])).
% 0.19/0.28 fof(f26,plain,(
% 0.19/0.28 ~spl3_1 | ~spl3_2),
% 0.19/0.28 inference(avatar_split_clause,[],[f8,f22,f18])).
% 0.19/0.28 fof(f27,plain,(
% 0.19/0.28 $false | spl3_1),
% 0.19/0.28 inference(forward_subsumption_resolution,[],[f19,f14])).
% 0.19/0.28 fof(f28,plain,(
% 0.19/0.28 spl3_1),
% 0.19/0.28 inference(avatar_contradiction_clause,[],[f27])).
% 0.19/0.28 fof(f29,plain,(
% 0.19/0.28 $false | spl3_2),
% 0.19/0.28 inference(forward_subsumption_resolution,[],[f23,f13])).
% 0.19/0.28 fof(f30,plain,(
% 0.19/0.28 spl3_2),
% 0.19/0.28 inference(avatar_contradiction_clause,[],[f29])).
% 0.19/0.28 cnf(s2, plain, ~spl3_1 | ~spl3_2, inference(sat_conversion,[],[f26])).
% 0.19/0.28 cnf(s3, plain, spl3_1, inference(sat_conversion,[],[f28])).
% 0.19/0.28 cnf(s4, plain, spl3_2, inference(sat_conversion,[],[f30])).
% 0.19/0.28 cnf(s5, plain, $false, inference(rat,[],[s2,s4,s3])).
% 0.19/0.28 fof(f31,plain,(
% 0.19/0.28 $false),
% 0.19/0.28 inference(avatar_sat_refutation,[],[s5])).
% 0.19/0.28 % SZS output end Proof for theBenchmark
% 0.19/0.28 % (3405116)------------------------------
% 0.19/0.28 % (3405116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (3405116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (3405116)CaDiCaL version: 2.1.3
% 0.19/0.28 % (3405116)Termination reason: Refutation
% 0.19/0.28 % (3405116)Time elapsed: 0.002 s
% 0.19/0.28 % (3405116)Peak memory usage: 12 MB
% 0.19/0.28 % (3405116)Instructions burned: 1 (million)
% 0.19/0.28 % (3405094)Success in time 0.044 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------