%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV234+2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 01:20:31 PM UTC 2026
% Result : Theorem 3.53s 1.02s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 58 ( 36 unt; 0 def)
% Number of atoms : 101 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 42 ~; 38 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 83 ( 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( public(X0)
& public(X1) )
=> public(enc(enc(inv(xor(data,km)),X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',encrypt_data_cmd) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( public(X1)
& public(enc(xor(X0,X1),X2))
& public(enc(xor(km,imp),X0)) )
=> public(enc(xor(km,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',key_import_cmd) ).
fof(f8,axiom,
! [X0,X1,X2] : enc(X0,enc(inv(X0),X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',encrypt_decrypt_cancel) ).
fof(f9,axiom,
! [X0,X1,X2] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_commutes) ).
fof(f10,axiom,
! [X0,X1,X2] : xor(X0,xor(X1,X2)) = xor(xor(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_assosciative) ).
fof(f11,axiom,
! [X0,X1,X2] : xor(X0,X0) = z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_self_cancel) ).
fof(f12,axiom,
! [X0,X1,X2] : xor(X0,z) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_zero) ).
fof(f14,axiom,
public(data),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_knowledge2) ).
fof(f17,axiom,
public(enc(xor(kek,pin),pp)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_knowledge5) ).
fof(f20,axiom,
public(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_knowledge8) ).
fof(f21,axiom,
public(enc(xor(km,imp),xor(kek,xor(pin,data)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_knowledge9) ).
fof(f22,conjecture,
public(enc(pp,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f23,negated_conjecture,
~ public(enc(pp,a)),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f24,plain,
! [X0,X1] : enc(X0,enc(inv(X0),X1)) = X1,
inference(rectify,[],[f8]) ).
fof(f25,plain,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
inference(rectify,[],[f9]) ).
fof(f26,plain,
! [X0] : xor(X0,X0) = z,
inference(rectify,[],[f11]) ).
fof(f27,plain,
! [X0] : xor(X0,z) = X0,
inference(rectify,[],[f12]) ).
fof(f28,plain,
~ public(enc(pp,a)),
inference(flattening,[],[f23]) ).
fof(f36,plain,
! [X0,X1] :
( public(enc(enc(inv(xor(data,km)),X0),X1))
| ~ public(X0)
| ~ public(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f37,plain,
! [X0,X1] :
( public(enc(enc(inv(xor(data,km)),X0),X1))
| ~ public(X0)
| ~ public(X1) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2] :
( public(enc(xor(km,X1),X2))
| ~ public(X1)
| ~ public(enc(xor(X0,X1),X2))
| ~ public(enc(xor(km,imp),X0)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f39,plain,
! [X0,X1,X2] :
( public(enc(xor(km,X1),X2))
| ~ public(X1)
| ~ public(enc(xor(X0,X1),X2))
| ~ public(enc(xor(km,imp),X0)) ),
inference(flattening,[],[f38]) ).
fof(f46,plain,
! [X0,X1] :
( ~ public(X1)
| ~ public(X0)
| public(enc(enc(inv(xor(data,km)),X0),X1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ public(enc(xor(km,imp),X0))
| ~ public(enc(xor(X0,X1),X2))
| ~ public(X1)
| public(enc(xor(km,X1),X2)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f49,plain,
! [X0,X1] : enc(X0,enc(inv(X0),X1)) = X1,
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f51,plain,
! [X2,X0,X1] : xor(X0,xor(X1,X2)) = xor(xor(X0,X1),X2),
inference(cnf_transformation,[],[f10]) ).
fof(f52,plain,
! [X0] : xor(X0,X0) = z,
inference(cnf_transformation,[],[f26]) ).
fof(f53,plain,
! [X0] : xor(X0,z) = X0,
inference(cnf_transformation,[],[f27]) ).
fof(f55,plain,
public(data),
inference(cnf_transformation,[],[f14]) ).
fof(f58,plain,
public(enc(xor(kek,pin),pp)),
inference(cnf_transformation,[],[f17]) ).
fof(f61,plain,
public(a),
inference(cnf_transformation,[],[f20]) ).
fof(f62,plain,
public(enc(xor(km,imp),xor(kek,xor(pin,data)))),
inference(cnf_transformation,[],[f21]) ).
fof(f63,plain,
~ public(enc(pp,a)),
inference(cnf_transformation,[],[f28]) ).
fof(f64,plain,
! [X0] : xor(z,X0) = X0,
inference(superposition,[],[f50,f53]) ).
fof(f67,plain,
public(enc(xor(pin,kek),pp)),
inference(superposition,[],[f58,f50]) ).
fof(f77,plain,
! [X0,X1] : enc(inv(inv(X1)),X0) = enc(X1,X0),
inference(superposition,[],[f49,f49]) ).
fof(f85,plain,
public(enc(xor(km,imp),xor(kek,xor(data,pin)))),
inference(forward_demodulation,[],[f62,f50]) ).
fof(f86,plain,
! [X0,X1] : xor(X0,xor(X0,X1)) = xor(z,X1),
inference(superposition,[],[f51,f52]) ).
fof(f94,plain,
! [X2,X0,X1] : xor(X0,xor(X1,X2)) = xor(X1,xor(X2,X0)),
inference(superposition,[],[f51,f50]) ).
fof(f102,plain,
! [X0,X1] : xor(X0,xor(X0,X1)) = X1,
inference(forward_demodulation,[],[f86,f64]) ).
fof(f104,plain,
! [X0,X1] :
( public(enc(enc(inv(xor(km,data)),X0),X1))
| ~ public(X1)
| ~ public(X0) ),
inference(forward_demodulation,[],[f46,f50]) ).
fof(f105,plain,
! [X0,X1] :
( public(enc(X0,X1))
| ~ public(X1)
| ~ public(enc(inv(inv(xor(km,data))),X0)) ),
inference(superposition,[],[f104,f49]) ).
fof(f107,plain,
! [X0,X1] :
( ~ public(enc(xor(xor(kek,xor(data,pin)),X0),X1))
| ~ public(X0)
| public(enc(xor(km,X0),X1)) ),
inference(resolution,[],[f47,f85]) ).
fof(f118,plain,
! [X0,X1] :
( ~ public(enc(xor(kek,xor(xor(data,pin),X0)),X1))
| ~ public(X0)
| public(enc(xor(km,X0),X1)) ),
inference(forward_demodulation,[],[f107,f51]) ).
fof(f119,plain,
! [X0,X1] :
( ~ public(enc(xor(kek,xor(data,xor(pin,X0))),X1))
| ~ public(X0)
| public(enc(xor(km,X0),X1)) ),
inference(forward_demodulation,[],[f118,f51]) ).
fof(f481,plain,
! [X0,X1] :
( ~ public(enc(xor(km,data),X0))
| public(enc(X0,X1))
| ~ public(X1) ),
inference(forward_demodulation,[],[f105,f77]) ).
fof(f492,plain,
! [X0,X1] :
( ~ public(enc(xor(data,xor(xor(pin,X0),kek)),X1))
| ~ public(X0)
| public(enc(xor(km,X0),X1)) ),
inference(forward_demodulation,[],[f119,f94]) ).
fof(f493,plain,
! [X0,X1] :
( ~ public(enc(xor(data,xor(kek,xor(pin,X0))),X1))
| ~ public(X0)
| public(enc(xor(km,X0),X1)) ),
inference(forward_demodulation,[],[f492,f50]) ).
fof(f494,plain,
! [X0,X1] :
( ~ public(X0)
| ~ public(enc(xor(data,xor(pin,xor(X0,kek))),X1))
| public(enc(xor(km,X0),X1)) ),
inference(forward_demodulation,[],[f493,f94]) ).
fof(f504,plain,
! [X0] :
( ~ public(enc(xor(data,xor(pin,xor(data,kek))),X0))
| public(enc(xor(km,data),X0)) ),
inference(resolution,[],[f494,f55]) ).
fof(f515,plain,
! [X0] :
( ~ public(enc(xor(data,xor(data,xor(kek,pin))),X0))
| public(enc(xor(km,data),X0)) ),
inference(forward_demodulation,[],[f504,f94]) ).
fof(f527,plain,
! [X0] :
( ~ public(enc(xor(kek,pin),X0))
| public(enc(xor(km,data),X0)) ),
inference(forward_demodulation,[],[f515,f102]) ).
fof(f532,plain,
! [X0] :
( ~ public(enc(xor(pin,kek),X0))
| public(enc(xor(km,data),X0)) ),
inference(forward_demodulation,[],[f527,f50]) ).
fof(f3137,plain,
public(enc(xor(km,data),pp)),
inference(resolution,[],[f532,f67]) ).
fof(f7524,plain,
! [X0] :
( public(enc(pp,X0))
| ~ public(X0) ),
inference(resolution,[],[f3137,f481]) ).
fof(f13302,plain,
~ public(a),
inference(resolution,[],[f7524,f63]) ).
fof(f13314,plain,
$false,
inference(forward_subsumption_resolution,[],[f13302,f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV234+2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.28/0.31 % Computer : n010.cluster.edu
% 0.28/0.31 % Model : x86_64 x86_64
% 0.28/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.31 % Memory : 8046.5625MB
% 0.28/0.31 % OS : Linux 6.8.0-71-generic
% 0.28/0.31 % CPULimit : 300
% 0.28/0.31 % WCLimit : 300
% 0.28/0.31 % DateTime : Mon Sep 28 10:15:17 UTC 2026
% 0.28/0.32 % CPUTime :
% 0.28/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.28/0.37 Running first-order model finding
% 0.28/0.37 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.53/1.02 % (1829028)Will run a generic schedule for satisfiability detection.
% 3.53/1.02 % (1829033)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3486825277_2999 on theBenchmark for (2999ds/0Mi)
% 3.53/1.02 % TRYING [1]
% 3.53/1.02 % TRYING [2]
% 3.53/1.02 % TRYING [3]
% 3.53/1.02 % TRYING [4]
% 3.53/1.02 % (1829034)% WARNING: option uhcvi not known.
% 3.53/1.02 % (1829036)dis+10_1_sil=32000:sp=arity:random_seed=801058172:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.53/1.02 % (1829039)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3359122664:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.53/1.02 % (1829034)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1544945178:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.53/1.02 % (1829035)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2007449598:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.53/1.02 % (1829037)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2054471823:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.53/1.02 % (1829038)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=826919702:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.53/1.02 % TRYING [5]
% 3.53/1.02 % TRYING [6]
% 3.53/1.02 % TRYING [7]
% 3.53/1.02 % (1829036)Instruction limit reached!
% 3.53/1.02 % (1829036)------------------------------
% 3.53/1.02 % (1829036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.02 % (1829036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.02 % (1829036)CaDiCaL version: 2.1.3
% 3.53/1.02 % (1829036)Termination reason: Instruction limit
% 3.53/1.02 % (1829036)Termination phase: Saturation
% 3.53/1.02 % (1829036)Time elapsed: 0.096 s
% 3.53/1.02 % (1829036)Peak memory usage: 13 MB
% 3.53/1.02 % (1829036)Instructions burned: 103 (million)
% 3.53/1.02 % (1829037)Instruction limit reached!
% 3.53/1.02 % (1829037)------------------------------
% 3.53/1.02 % (1829037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.02 % (1829037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.02 % (1829037)CaDiCaL version: 2.1.3
% 3.53/1.02 % (1829037)Termination reason: Instruction limit
% 3.53/1.02 % (1829037)Termination phase: Saturation
% 3.53/1.02 % (1829037)Time elapsed: 0.115 s
% 3.53/1.02 % (1829037)Peak memory usage: 12 MB
% 3.53/1.02 % (1829037)Instructions burned: 116 (million)
% 3.53/1.02 % (1829038)Instruction limit reached!
% 3.53/1.02 % (1829038)------------------------------
% 3.53/1.02 % (1829038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.02 % (1829038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.02 % (1829038)CaDiCaL version: 2.1.3
% 3.53/1.02 % (1829038)Termination reason: Instruction limit
% 3.53/1.02 % (1829038)Termination phase: Saturation
% 3.53/1.02 % (1829038)Time elapsed: 0.126 s
% 3.53/1.02 % (1829038)Peak memory usage: 13 MB
% 3.53/1.02 % (1829038)Instructions burned: 132 (million)
% 3.53/1.02 % TRYING [8]
% 3.53/1.02 % (1829048)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1370820014:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.53/1.02 % (1829039)Instruction limit reached!
% 3.53/1.02 % (1829039)------------------------------
% 3.53/1.02 % (1829039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.02 % (1829039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.02 % (1829039)CaDiCaL version: 2.1.3
% 3.53/1.02 % (1829039)Termination reason: Instruction limit
% 3.53/1.02 % (1829039)Termination phase: Saturation
% 3.53/1.02 % (1829039)Time elapsed: 0.158 s
% 3.53/1.02 % (1829039)Peak memory usage: 13 MB
% 3.53/1.02 % (1829039)Instructions burned: 159 (million)
% 3.53/1.02 % (1829047)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=149409471:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.53/1.02 % (1829049)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3479371584:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.53/1.02 % TRYING [1]
% 3.53/1.02 % TRYING [2]
% 3.53/1.02 % TRYING [3]
% 3.53/1.02 % TRYING [4]
% 3.53/1.02 % (1829051)ott-21_1_sil=16000:fs=off:random_seed=1621661433:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 3.53/1.02 % TRYING [5]
% 3.53/1.02 % (1829048)Instruction limit reached!
% 3.53/1.02 % (1829048)------------------------------
% 3.53/1.02 % (1829048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.02 % (1829048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.02 % (1829048)CaDiCaL version: 2.1.3
% 3.53/1.02 % (1829048)Termination reason: Instruction limit
% 3.53/1.02 % (1829048)Termination phase: Saturation
% 3.53/1.02 % (1829048)Time elapsed: 0.130 s
% 3.53/1.02 % (1829048)Peak memory usage: 13 MB
% 3.53/1.02 % (1829048)Instructions burned: 132 (million)
% 3.53/1.02 % (1829055)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3128792720:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 3.53/1.02 % (1829051)Instruction limit reached!
% 3.53/1.02 % (1829051)------------------------------
% 3.53/1.02 % (1829051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.02 % (1829051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.02 % (1829051)CaDiCaL version: 2.1.3
% 3.53/1.02 % (1829051)Termination reason: Instruction limit
% 3.53/1.02 % (1829051)Termination phase: Saturation
% 3.53/1.02 % (1829051)Time elapsed: 0.138 s
% 3.53/1.02 % (1829051)Peak memory usage: 11 MB
% 3.53/1.02 % (1829051)Instructions burned: 181 (million)
% 3.53/1.02 % (1829057)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3202335318:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 3.53/1.02 % TRYING [1]
% 3.53/1.02 % TRYING [2]
% 3.53/1.02 % TRYING [3]
% 3.53/1.02 % TRYING [4]
% 3.53/1.02 % TRYING [6]
% 3.53/1.02 % TRYING [5]
% 3.53/1.02 % TRYING [6]
% 3.53/1.02 % (1829034) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1829028-1829034"...
% 3.53/1.02 % (1829034)...printing done.
% 3.53/1.02 % (1829034)Refutation found. Thanks to Tanya!
% 3.53/1.02 % SZS status Theorem for theBenchmark
% 3.53/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.03 % (1829034)------------------------------
% 3.53/1.03 % (1829034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.03 % (1829034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.03 % (1829034)CaDiCaL version: 2.1.3
% 3.53/1.03 % (1829034)Termination reason: Refutation
% 3.53/1.03 % (1829034)Time elapsed: 0.575 s
% 3.53/1.03 % (1829034)Peak memory usage: 16 MB
% 3.53/1.03 % (1829034)Instructions burned: 665 (million)
% 3.53/1.03 % (1829028)Success in time 0.636 s
% 3.53/1.03 % Vampire exiting
%------------------------------------------------------------------------------