%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG400-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:30:28 AM UTC 2026
% Result : Unsatisfiable 0.81s 0.45s
% Output : Refutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 9 unt; 2 def)
% Number of atoms : 63 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 24 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f246,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X3,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__smult_0) ).
fof(f247,axiom,
! [X0,X1] : c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__divide__def_0) ).
fof(f356,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Omul__c_0) ).
fof(f554,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f555,negated_conjecture,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f651,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
fof(f652,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
fof(f693,definition,
( spl0_1
<=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f694,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_1 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f695,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f697,definition,
( spl0_2
<=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f698,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_2 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f699,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f700,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f555,f697,f693]) ).
fof(f701,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f554,f693,f697]) ).
fof(f1094,plain,
! [X0,X1] : c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),
inference(resolution,[],[f356,f651]) ).
fof(f1459,plain,
! [X2,X0,X1] : c_Polynomial_Opoly(c_Polynomial_Osmult(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolution,[],[f246,f652]) ).
fof(f1464,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_2 ),
inference(backward_demodulation,[],[f699,f1459]) ).
fof(f1465,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1464,f1094]) ).
fof(f1468,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1465,f247]) ).
fof(f1470,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1468,f694]) ).
fof(f1471,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f1470]) ).
fof(f1472,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_2 ),
inference(forward_demodulation,[],[f698,f1459]) ).
fof(f1473,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_2 ),
inference(forward_demodulation,[],[f1472,f1094]) ).
fof(f1474,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_2 ),
inference(forward_demodulation,[],[f1473,f247]) ).
fof(f1475,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1474,f695]) ).
fof(f1476,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f1475]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f700]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f701]) ).
cnf(s6,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f1476]) ).
cnf(s8,plain,
spl0_1,
inference(rat,[],[s1,s6]) ).
cnf(s9,plain,
spl0_2,
inference(rat,[],[s7,s8]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s2,s9,s8]) ).
fof(f1477,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG400-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n020.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 20:19:34 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 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
% 0.81/0.45 % (493290)Will run a generic schedule for satisfiability detection.
% 0.81/0.45 % (493295)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1898123954_2999 on theBenchmark for (2999ds/0Mi)
% 0.81/0.45 % (493296)% WARNING: option uhcvi not known.
% 0.81/0.45 % (493296)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2897987814:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.81/0.45 % (493297)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=942066560:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.81/0.45 % (493298)dis+10_1_sil=32000:sp=arity:random_seed=706549220:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.81/0.45 % (493299)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3271156858:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.81/0.45 % (493300)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=680647444:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.81/0.45 % (493301)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=523938653:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.81/0.45 % TRYING [1]
% 0.81/0.45 % TRYING [2]
% 0.81/0.45 % TRYING [3]
% 0.81/0.45 % (493298)Instruction limit reached!
% 0.81/0.45 % (493298)------------------------------
% 0.81/0.45 % (493298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (493298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (493298)CaDiCaL version: 2.1.3
% 0.81/0.45 % (493298)Termination reason: Instruction limit
% 0.81/0.45 % (493298)Termination phase: Saturation
% 0.81/0.45 % (493298)Time elapsed: 0.064 s
% 0.81/0.45 % (493298)Peak memory usage: 12 MB
% 0.81/0.45 % (493298)Instructions burned: 103 (million)
% 0.81/0.45 % (493299)Instruction limit reached!
% 0.81/0.45 % (493299)------------------------------
% 0.81/0.45 % (493299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (493299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (493299)CaDiCaL version: 2.1.3
% 0.81/0.45 % (493299)Termination reason: Instruction limit
% 0.81/0.45 % (493299)Termination phase: Saturation
% 0.81/0.45 % (493299)Time elapsed: 0.068 s
% 0.81/0.45 % (493299)Peak memory usage: 13 MB
% 0.81/0.45 % (493299)Instructions burned: 116 (million)
% 0.81/0.45 % (493300)Instruction limit reached!
% 0.81/0.45 % (493300)------------------------------
% 0.81/0.45 % (493300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (493300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (493300)CaDiCaL version: 2.1.3
% 0.81/0.45 % (493300)Termination reason: Instruction limit
% 0.81/0.45 % (493300)Termination phase: Saturation
% 0.81/0.45 % (493300)Time elapsed: 0.077 s
% 0.81/0.45 % (493300)Peak memory usage: 13 MB
% 0.81/0.45 % (493300)Instructions burned: 131 (million)
% 0.81/0.45 % (493309)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4250430410:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.81/0.45 % (493310)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=335475660:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.81/0.45 % (493311)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=714907727:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.81/0.45 % (493301)Instruction limit reached!
% 0.81/0.45 % (493301)------------------------------
% 0.81/0.45 % (493301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (493301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (493301)CaDiCaL version: 2.1.3
% 0.81/0.45 % (493301)Termination reason: Instruction limit
% 0.81/0.45 % (493301)Termination phase: Saturation
% 0.81/0.45 % (493301)Time elapsed: 0.102 s
% 0.81/0.45 % (493301)Peak memory usage: 14 MB
% 0.81/0.45 % (493301)Instructions burned: 159 (million)
% 0.81/0.45 % (493315)ott-21_1_sil=16000:fs=off:random_seed=2905614368:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.81/0.45 % TRYING [1]
% 0.81/0.45 % TRYING [2]
% 0.81/0.45 % (493310) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-493290-493310"...
% 0.81/0.45 % (493310)...printing done.
% 0.81/0.45 % (493310)Refutation found. Thanks to Tanya!
% 0.81/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.81/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.81/0.45 % (493310)------------------------------
% 0.81/0.45 % (493310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (493310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (493310)CaDiCaL version: 2.1.3
% 0.81/0.45 % (493310)Termination reason: Refutation
% 0.81/0.45 % (493310)Time elapsed: 0.067 s
% 0.81/0.45 % (493310)Peak memory usage: 15 MB
% 0.81/0.45 % (493310)Instructions burned: 107 (million)
% 0.81/0.45 % (493290)Success in time 0.212 s
% 0.81/0.45 % Vampire exiting
%------------------------------------------------------------------------------