%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW272+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 01:39:44 PM UTC 2026
% Result : Theorem 1.40s 0.53s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 18 unt; 1 def)
% Number of atoms : 48 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 12 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pne) ).
fof(f62,axiom,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_s) ).
fof(f439,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__1(X1)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(f1121,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(f1174,axiom,
! [X0] :
( class_Rings_Ocomm__semiring__1(X0)
=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__1) ).
fof(f1206,conjecture,
v_s____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1207,negated_conjecture,
~ ( v_s____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(negated_conjecture,[status(cth)],[f1206]) ).
fof(f1210,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_s____,
inference(flattening,[],[f1207]) ).
fof(f1745,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(ennf_transformation,[],[f439]) ).
fof(f2382,plain,
! [X0] :
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(ennf_transformation,[],[f1174]) ).
fof(f2413,plain,
v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[],[f2]) ).
fof(f2498,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
inference(cnf_transformation,[],[f62]) ).
fof(f3021,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X1)
| c_Groups_Ozero__class_Ozero(X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Groups_Ozero__class_Ozero(X1)) ),
inference(cnf_transformation,[],[f1745]) ).
fof(f3849,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1121]) ).
fof(f3902,plain,
! [X0] :
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f2382]) ).
fof(f3934,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_s____,
inference(cnf_transformation,[],[f1210]) ).
fof(f4309,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
inference(forward_demodulation,[],[f2498,f3934]) ).
fof(f4310,plain,
v_pa____ != v_s____,
inference(forward_demodulation,[],[f2413,f3934]) ).
fof(f4534,definition,
( spl21_9
<=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(definition,[new_symbols(definition,[spl21_9])],[avatar_definition]) ).
fof(f4535,plain,
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ spl21_9 ),
inference(avatar_component_clause,[],[f4534]) ).
fof(f4536,plain,
( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| spl21_9 ),
inference(avatar_component_clause,[],[f4534]) ).
fof(f4542,plain,
( ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)
| spl21_9 ),
inference(resolution,[],[f4536,f3902]) ).
fof(f4543,plain,
( $false
| spl21_9 ),
inference(forward_subsumption_resolution,[],[f4542,f3849]) ).
fof(f4544,plain,
spl21_9,
inference(avatar_contradiction_clause,[],[f4543]) ).
fof(f6443,plain,
( ! [X0] : c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| ~ spl21_9 ),
inference(resolution,[],[f3021,f4535]) ).
fof(f6446,plain,
( ! [X0] : v_s____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),v_s____)
| ~ spl21_9 ),
inference(forward_demodulation,[],[f6443,f3934]) ).
fof(f6453,plain,
( v_pa____ = v_s____
| ~ spl21_9 ),
inference(superposition,[],[f6446,f4309]) ).
fof(f6457,plain,
( $false
| ~ spl21_9 ),
inference(forward_subsumption_resolution,[],[f6453,f4310]) ).
fof(f6458,plain,
~ spl21_9,
inference(avatar_contradiction_clause,[],[f6457]) ).
cnf(s7,plain,
spl21_9,
inference(sat_conversion,[],[f4544]) ).
cnf(s9,plain,
~ spl21_9,
inference(sat_conversion,[],[f6458]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s7,s9]) ).
fof(f6459,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW272+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n013.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 13:27:20 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 1.40/0.53 % (1176173)Will run a generic schedule for satisfiability detection.
% 1.40/0.53 % (1176183)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=355843998:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.40/0.53 % (1176179)% WARNING: option uhcvi not known.
% 1.40/0.53 % (1176178)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3326098379_2999 on theBenchmark for (2999ds/0Mi)
% 1.40/0.53 % (1176179)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2246473615:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.40/0.53 % (1176182)dis+10_1_sil=32000:sp=arity:random_seed=2476781237:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.40/0.53 % (1176180)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1486617805:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.40/0.53 % (1176184)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1734042200:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.40/0.53 % (1176185)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3867861628:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.40/0.53 % (1176183)Instruction limit reached!
% 1.40/0.53 % (1176183)------------------------------
% 1.40/0.53 % (1176183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.53 % (1176183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.53 % (1176183)CaDiCaL version: 2.1.3
% 1.40/0.53 % (1176183)Termination reason: Instruction limit
% 1.40/0.53 % (1176183)Termination phase: Saturation
% 1.40/0.53 % (1176183)Time elapsed: 0.031 s
% 1.40/0.53 % (1176183)Peak memory usage: 14 MB
% 1.40/0.53 % (1176183)Instructions burned: 116 (million)
% 1.40/0.53 % (1176201)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1393964043:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.40/0.53 % (1176182)Instruction limit reached!
% 1.40/0.53 % (1176182)------------------------------
% 1.40/0.53 % (1176182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.53 % (1176182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.53 % (1176182)CaDiCaL version: 2.1.3
% 1.40/0.53 % (1176182)Termination reason: Instruction limit
% 1.40/0.53 % (1176182)Termination phase: Saturation
% 1.40/0.53 % (1176182)Time elapsed: 0.060 s
% 1.40/0.53 % (1176182)Peak memory usage: 14 MB
% 1.40/0.53 % (1176182)Instructions burned: 103 (million)
% 1.40/0.53 % (1176184)Instruction limit reached!
% 1.40/0.53 % (1176184)------------------------------
% 1.40/0.53 % (1176184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.53 % (1176184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.53 % (1176184)CaDiCaL version: 2.1.3
% 1.40/0.53 % (1176184)Termination reason: Instruction limit
% 1.40/0.53 % (1176184)Termination phase: Saturation
% 1.40/0.53 % (1176184)Time elapsed: 0.068 s
% 1.40/0.53 % (1176184)Peak memory usage: 14 MB
% 1.40/0.53 % (1176184)Instructions burned: 132 (million)
% 1.40/0.53 % (1176213)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=31214451:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.40/0.53 % (1176216)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=3310597693:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.40/0.53 % (1176185)Instruction limit reached!
% 1.40/0.53 % (1176185)------------------------------
% 1.40/0.53 % (1176185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.53 % (1176185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.53 % (1176185)CaDiCaL version: 2.1.3
% 1.40/0.53 % (1176185)Termination reason: Instruction limit
% 1.40/0.53 % (1176185)Termination phase: Saturation
% 1.40/0.53 % (1176185)Time elapsed: 0.091 s
% 1.40/0.53 % (1176185)Peak memory usage: 15 MB
% 1.40/0.53 % (1176185)Instructions burned: 160 (million)
% 1.40/0.53 % (1176227)ott-21_1_sil=16000:fs=off:random_seed=355389989:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.40/0.53 % (1176213)Instruction limit reached!
% 1.40/0.53 % (1176213)------------------------------
% 1.40/0.53 % (1176213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.53 % (1176213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.53 % (1176213)CaDiCaL version: 2.1.3
% 1.40/0.53 % (1176213)Termination reason: Instruction limit
% 1.40/0.53 % (1176213)Termination phase: Saturation
% 1.40/0.53 % (1176213)Time elapsed: 0.064 s
% 1.40/0.53 % (1176213)Peak memory usage: 15 MB
% 1.40/0.53 % (1176213)Instructions burned: 132 (million)
% 1.40/0.53 % (1176246)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4242850125:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.40/0.53 % (1176216) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1176173-1176216"...
% 1.40/0.53 % (1176216)...printing done.
% 1.40/0.53 % (1176216)Refutation found. Thanks to Tanya!
% 1.40/0.53 % SZS status Theorem for theBenchmark
% 1.40/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.53 % (1176216)------------------------------
% 1.40/0.53 % (1176216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.53 % (1176216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.53 % (1176216)CaDiCaL version: 2.1.3
% 1.40/0.53 % (1176216)Termination reason: Refutation
% 1.40/0.53 % (1176216)Time elapsed: 0.109 s
% 1.40/0.53 % (1176216)Peak memory usage: 16 MB
% 1.40/0.53 % (1176216)Instructions burned: 185 (million)
% 1.40/0.53 % (1176173)Success in time 0.282 s
% 1.40/0.53 % Vampire exiting
%------------------------------------------------------------------------------