%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW478+3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 01:40:17 PM UTC 2026
% Result : Theorem 1.00s 0.48s
% Output : Refutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 25 ( 25 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f143,axiom,
hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).
fof(f1491,conjecture,
hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1492,negated_conjecture,
~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
inference(negated_conjecture,[status(cth)],[f1491]) ).
fof(f1499,plain,
~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
inference(flattening,[],[f1492]) ).
fof(f3529,plain,
hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
inference(cnf_transformation,[],[f143]) ).
fof(f5615,plain,
~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
inference(cnf_transformation,[],[f1499]) ).
fof(f5962,plain,
$false,
inference(global_subsumption,[],[f3529,f5615]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW478+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n005.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 14:13:32 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 1.00/0.48 % (805374)Will run a generic schedule for satisfiability detection.
% 1.00/0.48 % (805379)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3504295208_2998 on theBenchmark for (2998ds/0Mi)
% 1.00/0.48 % (805380)% WARNING: option uhcvi not known.
% 1.00/0.48 % (805380)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3881111398:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 1.00/0.48 % (805381)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=428847653:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 1.00/0.48 % (805382)dis+10_1_sil=32000:sp=arity:random_seed=480043340:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 1.00/0.48 % (805383)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4177322687:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 1.00/0.48 % (805384)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2906175728:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 1.00/0.48 % (805385)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1700809726:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 1.00/0.48 % (805382)Instruction limit reached!
% 1.00/0.48 % (805382)------------------------------
% 1.00/0.48 % (805382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48 % (805382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48 % (805382)CaDiCaL version: 2.1.3
% 1.00/0.48 % (805382)Termination reason: Instruction limit
% 1.00/0.48 % (805382)Termination phase: Equality resolution with deletion
% 1.00/0.48 % (805382)Time elapsed: 0.052 s
% 1.00/0.48 % (805382)Peak memory usage: 15 MB
% 1.00/0.48 % (805382)Instructions burned: 104 (million)
% 1.00/0.48 % (805383)Instruction limit reached!
% 1.00/0.48 % (805383)------------------------------
% 1.00/0.48 % (805383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48 % (805383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48 % (805383)CaDiCaL version: 2.1.3
% 1.00/0.48 % (805383)Termination reason: Instruction limit
% 1.00/0.48 % (805383)Termination phase: Property scanning
% 1.00/0.48 % (805383)Time elapsed: 0.056 s
% 1.00/0.48 % (805383)Peak memory usage: 15 MB
% 1.00/0.48 % (805383)Instructions burned: 116 (million)
% 1.00/0.48 % (805384)Instruction limit reached!
% 1.00/0.48 % (805384)------------------------------
% 1.00/0.48 % (805384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48 % (805384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48 % (805384)CaDiCaL version: 2.1.3
% 1.00/0.48 % (805384)Termination reason: Instruction limit
% 1.00/0.48 % (805384)Termination phase: Property scanning
% 1.00/0.48 % (805384)Time elapsed: 0.063 s
% 1.00/0.48 % (805384)Peak memory usage: 15 MB
% 1.00/0.48 % (805384)Instructions burned: 136 (million)
% 1.00/0.48 % (805393)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1680907767:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.00/0.48 % (805385)Instruction limit reached!
% 1.00/0.48 % (805385)------------------------------
% 1.00/0.48 % (805385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48 % (805385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48 % (805385)CaDiCaL version: 2.1.3
% 1.00/0.48 % (805385)Termination reason: Instruction limit
% 1.00/0.48 % (805385)Termination phase: Saturation
% 1.00/0.48 % (805385)Time elapsed: 0.075 s
% 1.00/0.48 % (805385)Peak memory usage: 16 MB
% 1.00/0.48 % (805385)Instructions burned: 159 (million)
% 1.00/0.48 % (805394)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=617457678:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.00/0.48 % (805395)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=3323524524:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.00/0.48 % (805398)ott-21_1_sil=16000:fs=off:random_seed=3729463642:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.00/0.48 % (805381) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-805374-805381"...
% 1.00/0.48 % (805381)...printing done.
% 1.00/0.48 % (805381)Refutation found. Thanks to Tanya!
% 1.00/0.48 % SZS status Theorem for theBenchmark
% 1.00/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 1.00/0.48 % (805381)------------------------------
% 1.00/0.48 % (805381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48 % (805381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48 % (805381)CaDiCaL version: 2.1.3
% 1.00/0.48 % (805381)Termination reason: Refutation
% 1.00/0.48 % (805381)Time elapsed: 0.106 s
% 1.00/0.48 % (805381)Peak memory usage: 18 MB
% 1.00/0.48 % (805381)Instructions burned: 221 (million)
% 1.00/0.48 % (805374)Success in time 0.236 s
% 1.00/0.48 % Vampire exiting
%------------------------------------------------------------------------------